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SPIRES-BOOKS: FIND KEYWORD ASSOCIATIVE RINGS *END*INIT* use /tmp/qspiwww.webspi1/16350.75 QRY 131.225.70.96 . find keyword associative rings ( in books using www Cover
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Call number:SPRINGER-2016-9783319388557:ONLINE Show nearby items on shelf
Title:Multiplicative Ideal Theory and Factorization Theory Commutative and Non-commutative Perspectives
Author(s):
Date:2016
Size:1 online resource (407 p.)
Note:10.1007/978-3-319-38855-7
Contents:Multiplicative Ideal Theory in Non-commutative Rings (E. Akalan, H. Marubayashi) -- About number fields with Pólya group of order ≤ 2 (D. Adam, J.-L. Chabert) -- The interplay of Invariant Theory with Multiplicative Ideal Theory and with Arithmet ic Combinatorics (K. Cziczler, M. Domokos, A. Geroldinger) -- Ring and semigroup constructions (M. D'Anna) -- New Distinguished Classes of Spectral Spaces (C.A. Finocchiaro, M. Fontana, D. Spirito) -- Relative polynomial closure and monadically Krull mono ids of integer-valued polynomials (S. Frisch).-An overview of the computational aspects of nonunique factorization invariants (P.A. García-Sánchez).-Arithmetic of Mori domains and monoids: The global case (F. Kainrath) -- Prüfer Domains of Integer-Valu ed Polynomials (K.A. Loper, M. Syvuk) -- Lobal Properties of Integral Domains (T.G. Lucas) -- Topological aspects of irredundant intersections of ideals and valuation rings (B. Olberding) -- Noetherian semigroup algebras and beyond (J. Okniński)
-- Idempotent pairs and PRINC domains (G. Peruginelli, L. Salce, P. Zanardo) -- Some recent results and open problems on sets of lengths of Krull monoids with finite class group (W.A. Schmid) -- Factorizations of elements in noncommutative rings: A survey (D. Smertnig)
ISBN:9783319388557
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 170
Keywords: Mathematics , Algebraic geometry , Associative rings , Rings (Algebra) , Commutative algebra , Commutative rings , Group theory , Number theory , Mathematics , Commutative Rings and Algebras , Number Theory , Group Theory and Generalizations , Associative Rings and Algebras , Algebraic Geometry
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Call number:SPRINGER-2016-9783034809528:ONLINE Show nearby items on shelf
Title:Module Theory, Extending Modules and Generalizations
Author(s): Adnan Tercan
Date:2016
Size:1 online resource (369 p.)
Note:10.1007/978-3-0348-0952-8
Contents:Preface -- Introduction -- List of Symbols -- Introducing modules -- Types of Relative Injectivity -- Extending Property and Related Concepts -- Inner Generalizations of Extending Modules -- Outer Generalizations of Extending Modules -- Dual Goldie and EC-complement Versions of the Extending Property -- Open Problems and Questions -- Appendix -- References -- Index
ISBN:9783034809528
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Associative rings , Rings (Algebra) , Mathematics , Associative Rings and Algebras
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Call number:SPRINGER-2011-9783642110368:ONLINE Show nearby items on shelf
Title:Some Aspects of Ring Theory [electronic resource]
Author(s): I. N Herstein
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:S. Amitsur: Associative rings with identities.- I.N. Herstein: Topics in ring theory.- N. Jacobson: Representation theory of Jordan algebras.- I. Kaplansky: The theory of homological dimension.- D. Buchsbaum: Complexes in localring theory.- P.H. Cohn : Two topics in ring theory.- A.W. Goldie: Non-commutative localisation
Note:Springer eBooks
Contents:S. Amitsur: Associative rings with identities
I.N. Herstein: Topics in ring theory
N. Jacobson: Representation theory of Jordan algebras
I. Kaplansky: The theory of homological dimension
D. Buchsbaum: Complexes in local ring theory
P.H. Cohn: Two topics in ring theory
A.W. Goldie: Non
commutative localisation
ISBN:9783642110368
Series:e-books
Series:SpringerLink (Online service)
Series:C.I.M.E. Summer Schools : v37
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Differential equations, partial
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Call number:SPRINGER-2009-9783764388584:ONLINE Show nearby items on shelf
Title:Selected Works of A.I. Shirshov [electronic resource]
Author(s): Leonid Bokut
Ivan Shestakov
Victor Latyshev
Efim Zelmanov
Date:2009
Publisher:Basel : Birkhuser Basel
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book presents translations of selected works of the famous Russian mathematician A.I. Shirshov (19211981). He was a pioneer in several directions of associative, Lie, Jordan, and alternative algebras, as well as groupsand projective planes. His name is associated with notions and results on Grbner-Shirshov bases, the Composition-Diamond Lemma, the Shirshov-Witt Theorem, the Lazard-Shirshov elimination process, Shirshovs Height Theorem,Lyndon-Shirshov words, Hall-Shirshov bases, Shirshovs theorem on the Kurosh problem for alternative and Jordan algebras, and Shirshovs theorem on the speciality of Jordan algebras with two generators. Shirshovs ideas were usedby his student Efim Zelmanov for the solution of the Restricted Burnside Problem. Several famous algebraists provide in this book detailed comments on the impact of Shirshovs work on current algebra
Note:Springer eBooks
Contents:From the contents: Publications of A.I. Shirshov: Subalgebras of free Lie algebras
On the representation of Lie rings in associative rings
Subalgebras of free commutative and free anticommutative algebras
On special J
rings
Some theorems on embedding of rings
On some nonassociative nil
rings and algebraic algebras
On rings with identical relations
On free Lie rings
On a problem of Levitzki
Some problems in the theory of rings that are nearly associative
Some algorithmic problems for e
algebras
Some algorithmic problems for Lie algebras
On a hypothesis in the
ISBN:9783764388584
Series:e-books
Series:SpringerLink (Online service)
Series:Contemporary Mathematicians
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematics_$xHistory
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Call number:SPRINGER-2008-9783764387426:ONLINE Show nearby items on shelf
Title:Modules and Comodules [electronic resource]
Author(s): Tomasz Brzeziski
Jos Luis Gmez Pardo
Ivan Shestakov
Patrick F Smith
Date:2008
Publisher:Basel : Birkhuser Basel
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The 23 articles in this volume encompass the proceedings of the International Conference on Modules and Comodules held in Porto (Portugal) in 2006 and dedicated to Robert Wisbauer on the occasion of his 65th birthday. Thesearticles reflect Professor Wisbauer's wide interests and give an overview of different fields related to module theory, some of which have a long tradition whereas others have emerged in recent years. They include topics in the formaltheory of modules bordering on category theory, in ring theory, in Hopf algebras and quantum groups, and in corings and comodules
Note:Springer eBooks
Contents:Injective Morita Contexts (Revisited)
A Categorical Proof of a Useful Result
On Nichols Algebras with Generic Braiding
Dual Algebras of Some Semisimple Finite
dimensional Hopf Algebras
Balanced Bilinear Forms for Corings
Ring Hulls of Semiprime Homomorphic Images
Notes on Formal Smoothness
Certain Chain Conditions in Modules over Dedekind Domains and Related Rings
?
Injective Modules
A Note on Polynomial Rings over Nil Rings
QI
modules
Corings with Exact Rational Functors and Injective Objects
Preradicals of Associative Algebras and their Connections with Pr
ISBN:9783764387426
Series:e-books
Series:SpringerLink (Online service)
Series:Trends in Mathematics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra
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Call number:SPRINGER-2008-9783764386061:ONLINE Show nearby items on shelf
Title:Quadratic Mappings and Clifford Algebras [electronic resource]
Author(s): Jacques Helmstetter
Artibano Micali
Date:2008
Publisher:Basel : Birkhuser Basel
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:After a classical presentation of quadratic mappings and Clifford algebras over arbitrary rings (commutative, associative, with unit), other topics involve more original methods: interior multiplications allow an effectivetreatment of deformations of Clifford algebras the relations between automorphisms of quadratic forms and Clifford algebras are based on the concept of the Lipschitz monoid, from which several groups are derived and theCartan-Chevalley theory of hyperbolic spaces becomes much more g eneral, precise and effective
Note:Springer eBooks
Contents:Algebraic Preliminaries
Quadratic Mappings
Clifford Algebras
Comultiplications. Exponentials. Deformations
Orthogonal Groups and Lipschitz Groups
Further Algebraic Developments
Hyperbolic Spaces
Complements about Witt Rings and Other Topics
ISBN:9783764386061
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra
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Call number:SPRINGER-2007-9783764377960:ONLINE Show nearby items on shelf
Title:Functional Identities [electronic resource]
Author(s): Matej Brear
Mikhail A Chebotar
Wallace S Martindale
Date:2007
Publisher:Basel : Birkhuser Basel
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The theory of functional identities (FIs) is a relatively new one - the first results were published at the beginning of the 1990s, and this is the first book on this subject. An FI can be informally described as an identicalrelation involving arbitr ary elements in an associative ring together with arbitrary (unknown) functions. The goal of the general FI theory is to describe these functions, or, when this is not possible, to describe the structure of thering admitting the FI in question. This abstr act theory has turned out to be a powerful tool for solving a variety of problems in ring theory, Lie algebras, Jordan algebras, linear algebra, and operator theory. The book is divided intothree parts. Part I is an introductory one. Part II is the core o f the book. It gives a full account of the general FI theory, which is based on the concept of a d-free set various constructions and concrete examples of d-free setsare given, and FIs on d-free sets are thoroughly studied. Part III deals with application s. Its main purpose is to demonstrate how one can find FIs when considering different problems, and then effectively use the general theoryexposed in Part II. Perhaps the most illuminating example of the applicability are solutions of long-standing Herste ins conjectures on Lie homomorphisms and Lie derivations - in the proofs practically the entire FI theory is used
Note:Springer eBooks
Contents:Part I. An Introductory Course
What is a functional identity?
Strong degree and FI
degree
Part II. The General Theory
Constructing d
free sets
FIs on d
free sets
FIs in (semi
) prime rings
Part III. Applications
Lie maps and related topics
Linear Preserver Problems
Further Applications to Lie Algebras
Appendices
Bibliography
ISBN:9783764377960
Series:e-books
Series:SpringerLink (Online service)
Series:Frontiers in Mathematics, 1660-8046
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Functional analysis
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Call number:SPRINGER-2004-9783764378011:ONLINE Show nearby items on shelf
Title:Rings, Modules, and the Total
Author(s): Friedrich Kasch
Date:2004
Size:1 online resource (138 p.)
Note:10.1007/b96769
Contents:Preface -- General Background -- I. Fundamental Notions and Properties -- II. Good Conditions for the Total -- III. The Total of Modules with LE-decompositions -- IV. The Total in Torsion-Free Abelian Groups -- Bibliography -- Index
ISBN:9783764378011
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebra , Associative rings , Rings (Algebra) , Group theory , Mathematics , Algebra , Associative Rings and Algebras , Group Theory and Generalizations
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Call number:SPRINGER-2004-9783540409984:ONLINE Show nearby items on shelf
Title:Methods of Graded Rings
Author(s): Constantin Nastasescu
Date:2004
Size:1 online resource (306 p.)
Note:10.1007/b94904
Contents:The Category of Graded Rings -- The Category of Graded Modules -- Modules over Stronly Graded Rings -- Graded Clifford Theory -- Internal Homogenization -- External Homogenization -- Smash Products -- Localization of Graded Rings --
Application to Gradability -- Appendix A: Some Category Theory -- Appendix B: Dimensions in an Abelian Category -- Bibliography -- Index
ISBN:9783540409984
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1836
Keywords: Mathematics , Algebra , Associative rings , Rings (Algebra) , Category theory (Mathematics) , Homological algebra , Group theory , Physics , Mathematics , Algebra , Associative Rings and Algebras , Category Theory, Homological Algebra , Group Theory and Generalizations , Mathematical Methods in Physics
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Call number:SPRINGER-2004-9783034879347:ONLINE Show nearby items on shelf
Title:Polynomial Identity Rings
Author(s): Vesselin Drensky
Date:2004
Size:1 online resource (200 p.)
Note:10.1007/978-3-0348-7934-7
Contents:A Combinatorial Aspects in PI-Rings -- Vesselin Drensky -- 1 Basic Properties of PI-algebras -- 2 Quantitative Approach to PI-algebras -- 3 The Amitsur-Levitzki Theorem -- 4 Central Polynomials for Matrices -- 5 Invariant Theory of
Matrices -- 6 The Nagata-Higman Theorem -- 7 The Shirshov Theorem for Finitely Generated PI-algebras -- 8 Growth of Codimensions of PI-algebras -- B Polynomial Identity Rings -- Edward Formanek -- 1 Polynomial Identities -- 2 The
Amitsur-Levitzki Theorem -- 3 Central Polynomials -- 4 Kaplansky’s Theorem -- 5 Theorems of Amitsur and Levitzki on Radicals -- 6 Posner’s Theorem -- 7 Every PI-ring Satisfies a Power of the Standard Identity -- 8 Azumaya Algebras -- 9
Artin’s Theorem -- 10 Chain Conditions -- 11 Hilbert and Jacobson PI-Rings -- 12 The Ring of Generic Matrices -- 13 The Generic Division Ring of Two 2 x 2 Generic Matrices -- 14 The Center of the Generic Division Ring -- 15 Is the
Center of the Generic Division Ring a Rational Function Field?
ISBN:9783034879347
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Associative rings , Rings (Algebra) , Combinatorics , Mathematics , Associative Rings and Algebras , Combinatorics
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Call number:SPRINGER-2004-9781461220442:ONLINE Show nearby items on shelf
Title:Clifford Algebras Applications to Mathematics, Physics, and Engineering
Author(s):
Date:2004
Size:1 online resource (626 p.)
Note:10.1007/978-1-4612-2044-2
Contents:I. Clifford Analysis -- 1. The Morera Problem in Clifford Algebras and the Heisenberg Group -- 2. Multidimensional Inverse Scattering Associated with the Schrödinger Equation -- 3. On Discrete Stokes and Navier—Stokes Equations in the
Plane -- 4. A Symmetric Functional Calculus for Systems of Operators of Type ? -- 5. Poincaré Series in Clifford Analysis -- 6. Harmonic Analysis for General First Order Differential Operators in Lipschitz Domains -- 7. Paley—Wiener
Theorems and Shannon Sampling in the Clifford Analysis Setting -- 8. Bergman Projection in Clifford Analysis -- 9. Quaternionic Calculus for a Class of Initial Boundary Value Problems -- II. Geometry -- 10. A Nahm Transform for
Instantons over ALE Spaces -- 11. Hyper-Hermitian Manifolds and Connections with Skew-Symmetric Torsion -- 12. Casimir Elements and Bochner Identities on Riemannian Manifolds -- 13. Eigenvalues of Dirac and Rarita—Schwinger Operators
-- 14. Differential Forms Canonically Associated to Even-Dimensional Compact Conformal Manifolds -- 15. The Interface of Noncommutative Geometry and Physics -- III. Mathematical Structures -- 16. The Method of Virtual Variables and
Representations of Lie Superalgebras -- 17. Algebras Like Clifford Algebras -- 18. Grade Free Product Formulæ from Grassmann—Hopf Gebras -- 19. The Clifford Algebra in the Theory of Algebras, Quadratic Forms, and Classical Groups --
20. Lipschitz’s Methods of 1886 Applied to Symplectic Clifford Algebras -- 21. The Group of Classes of Involutions of Graded Central Simple Algebras -- 22. A Binary Index Notation for Clifford Algebras -- 23. Transposition in Clifford
Algebra: SU(3) from Reorientation Invariance -- IV. Physics -- 24. The Quantum/Classical Interface: Insights from Clifford’s (Geometric) Algebra -- 25. Standard Quantum Spheres -- 26. Clifford Algebras, Pure Spinors and the Physics of
Fermions -- 27. Spinor Formulations for Gravitational Energy-Momentum -- 28. Chiral Dirac Equations -- 29. Using Octonions to Describe Fundamental Particles -- 30. Applications of Geometric Algebra in Electromagnetism, Quantum Theory
and Gravity -- 31. Noncommutative Physics on Lie Algebras, (?2)n Lattices and Clifford Algebras -- 32. Dirac Operator on Quantum Homogeneous Spaces and Noncommutative Geometry -- 33. r-Fold Multivectors and Superenergy -- 34. The Cl7
Approach to the Standard Model -- V. Applications in Engineering -- 35. Implementation of a Clifford Algebra Co-Processor Design on a Field Programmable Gate Array -- 36. Image Space -- 37. Pose Estimation of Cycloidal Curves by using
Twist Representations
ISBN:9781461220442
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematical Physics : 34
Keywords: Mathematics , Associative rings , Rings (Algebra) , Mathematical analysis , Analysis (Mathematics) , Differential geometry , Physics , Applied mathematics , Engineering mathematics , Mathematics , Differential Geometry , Associative Rings and Algebras , Mathematical Methods in Physics , Analysis , Appl.Mathematics/Computational Methods of Engineering
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Call number:SPRINGER-2004-9780817681869:ONLINE Show nearby items on shelf
Title:Introduction to Vertex Operator Algebras and Their Representations
Author(s): James Lepowsky
Date:2004
Size:1 online resource (318 p.)
Note:10.1007/978-0-8176-8186-9
Contents:1 Introduction -- 1.1 Motivation -- 1.2 Example of a vertex operator -- 1.3 The notion of vertex operator algebra -- 1.4 Simplification of the definition -- 1.5 Representations and modules -- 1.6 Construction of families of examples
-- 1.7 Some further developments -- 2 Formal Calculus -- 2.1 Formal series and the formal delta function -- 2.2 Derivations and the formal Taylor Theorem -- 2.3 Expansions of zero and applications -- 3 Vertex Operator Algebras: The
Axiomatic Basics -- 3.1 Definitions and some fundamental properties -- 3.2 Commutativity properties -- 3.3 Associativity properties -- 3.4 The Jacobi identity from commutativity and associativity -- 3.5 The Jacobi identity from
commutativity -- 3.6 The Jacobi identity from skew symmetry and associativity -- 3.7 S3-symmetry of the Jacobi identity -- 3.8 The iterate formula and normal-ordered products -- 3.9 Further elementary notions -- 3.10 Weak nilpotence
and nilpotence -- 3.11 Centralizers and the center -- 3.12 Direct product and tensor product vertex algebras -- 4 Modules -- 4.1 Definition and some consequences -- 4.2 Commutativity properties -- 4.3 Associativity properties -- 4.4
The Jacobi identity as a consequence of associativity and commutativity properties -- 4.5 Further elementary notions -- 4.6 Tensor product modules for tensor product vertex algebras -- 4.7 Vacuum-like vectors -- 4.8 Adjoining a module
to a vertex algebra -- 5 Representations of Vertex Algebras and the Construction of Vertex Algebras and Modules -- 5.1 Weak vertex operators -- 5.2 The action of weak vertex operators on the space of weak vertex operators -- 5.3 The
canonical weak vertex algebra ?(W) and the equivalence between modules and representations -- 5.4 Subalgebras of ?(W) -- 5.5 Local subalgebras and vertex subalgebras of ?(W) -- 5.6 Vertex subalgebras of ?(W) associated with the
Virasoro algebra -- 5.7 General construction theorems for vertex algebras and modules -- 6 Construction of Families of Vertex Operator Algebras and Modules -- 6.1 Vertex operator algebras and modules associated to the Virasoro algebra
-- 6.2 Vertex operator algebras and modules associated to affine Lie algebras -- 6.3 Vertex operator algebras and modules associated to Heisenberg algebras -- 6.4 Vertex operator algebras and modules associated to even lattices—the
setting -- 6.5 Vertex operator algebras and modules associated to even lattices—the main results -- 6.6 Classification of the irreducible L?(?, O)-modules for g finite-dimensional simple and ? a positive integer -- References
ISBN:9780817681869
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics : 227
Keywords: Mathematics , Algebra , Associative rings , Rings (Algebra) , Topological groups , Lie groups , Operator theory , Physics , Mathematics , Algebra , Associative Rings and Algebras , Operator Theory , Topological Groups, Lie Groups , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-2004-9780387218311:ONLINE Show nearby items on shelf
Title:Integers, Polynomials, and Rings A Course in Algebra
Author(s): Ronald S Irving
Date:2004
Size:1 online resource (288 p.)
Note:10.1007/b97633
Contents:Introduction: The McNugget Problem -- Introduction: The McNugget Problem -- Integers -- Induction and the Division Theorem -- The Euclidean Algorithm -- Congruences -- Prime Numbers -- Rings -- Euler’ Theorem -- Binomial Coefficients
-- Polynomials -- Polynomials and Roots -- Polynomials with Real Coefficients -- Polynomials with Rational Coefficients -- Polynomial Rings -- Quadratic Polynomials -- Polynomial Congruence Rings -- All Together Now -- Euclidean Rings
-- The Ring of Gaussian Integers -- Finite Fields
ISBN:9780387218311
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebra , Associative rings , Rings (Algebra) , Field theory (Physics) , Mathematics , Algebra , Associative Rings and Algebras , Field Theory and Polynomials
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Call number:SPRINGER-2003-9789401703833:ONLINE Show nearby items on shelf
Title:Semirings and Affine Equations over Them: Theory and Applications
Author(s): Jonathan S Golan
Date:2003
Size:1 online resource (241 p.)
Note:10.1007/978-94-017-0383-3
Contents:1: Semirings -- 2: Partially-Ordered Semirings -- 3: Complete Semirings -- 4: Residuated Semirings -- 5: Matrix Semirings -- 6: Symmetric Extension of a Semiring -- 7: Semimodules -- 8: Homomorphisms between Semimodules -- 9: Affine
Maps between Semimodules -- 10: Partially-ordered Semimodules -- 11: Eigenelements -- 12: Permanents and Determinants -- Index of Applications -- Index of Terminology
ISBN:9789401703833
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 556
Keywords: Mathematics , Computer science , Associative rings , Rings (Algebra) , Mathematical models , Mathematical logic , Calculus of variations , Mathematics , Associative Rings and Algebras , Discrete Mathematics in Computer Science , Mathematical Modeling and Industrial Mathematics , Calculus of Variations and Optimal Control Optimization , Mathematical Logic and Foundations
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Call number:SPRINGER-2003-9789401703451:ONLINE Show nearby items on shelf
Title:Endomorphism Rings of Abelian Groups
Author(s): Piotr A Krylov
Date:2003
Size:1 online resource (443 p.)
Note:10.1007/978-94-017-0345-1
Contents:I. General Results on Endomorphism Rings -- II. Groups as Modules over Their Endomorphism Rings -- III. Ring Properties of Endomorphism Rings -- IV. The Jacobson Radical of the Endomorphism Ring -- V. Isomorphism and Realization
Theorems -- VI. Hereditary Endomorphism Rings -- VII. Fully Transitive Groups -- References
ISBN:9789401703451
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Algebras and Applications: 2
Keywords: Mathematics , Associative rings , Rings (Algebra) , Commutative algebra , Commutative rings , Group theory , Mathematics , Associative Rings and Algebras , Group Theory and Generalizations , Commutative Rings and Algebras
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Call number:SPRINGER-2003-9789401703376:ONLINE Show nearby items on shelf
Title:Proceedings of the Third International Algebra Conference June 16–July 1, 2002 Chang Jung Christian University, Tainan, Taiwan
Author(s): Yuen Fong
Date:2003
Size:1 online resource (268 p.)
Note:10.1007/978-94-017-0337-6
ISBN:9789401703376
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Associative rings , Rings (Algebra) , Commutative algebra , Commutative rings , Algebra , Field theory (Physics) , Group theory , Nonassociative rings , Mathematics , Field Theory and Polynomials , Commutative Rings and Algebras , Associative Rings and Algebras , Non-associative Rings and Algebras , Group Theory and Generalizations
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Call number:SPRINGER-2003-9789401702850:ONLINE Show nearby items on shelf
Title:Algorithmic Methods in Non-Commutative Algebra Applications to Quantum Groups
Author(s): José Bueso
Date:2003
Size:1 online resource (300 p.)
Note:10.1007/978-94-017-0285-0
Contents:1. Generalities on rings -- 2. Gröbner basis computation algorithms -- 3. Poincaré-Birkhoff-Witt Algebras -- 4. First applications -- 5. Gröbner bases for modules -- 6. Syzygies and applications -- 7. The Gelfand-Kirillov dimension
and the Hilbert polynomial -- 8. Primality -- References
ISBN:9789401702850
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematical Modelling, Theory and Applications: 17
Keywords: Computer science , Numerical analysis , Algebraic geometry , Associative rings , Rings (Algebra) , Category theory (Mathematics) , Homological algebra , Algorithms , Computer Science , Numeric Computing , Associative Rings and Algebras , Algorithms , Category Theory, Homological Algebra , Algebraic Geometry
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Call number:SPRINGER-2003-9783540396802:ONLINE Show nearby items on shelf
Title:Gröbner Bases and the Computation of Group Cohomology
Author(s):
Date:2003
Size:1 online resource (144 p.)
Note:10.1007/b93836
Contents:Introduction -- Part I Constructing minimal resolutions: Bases for finite-dimensional algebras and modules The Buchberger Algorithm for modules Constructing minimal resolutions -- Part II Cohomology ring structure: Gröbner bases for
graded commutative algebras The visible ring structure The completeness of the presentation -- Part III Experimental results: Experimental results -- A. Sample cohomology calculations -- Epilogue -- References -- Index
ISBN:9783540396802
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1828
Keywords: Mathematics , Associative rings , Rings (Algebra) , Group theory , Mathematics , Group Theory and Generalizations , Associative Rings and Algebras
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Call number:SPRINGER-2003-9783034880978:ONLINE Show nearby items on shelf
Title:The Lie Algebras su(N) An Introduction
Author(s): Walter Pfeifer
Date:2003
Size:1 online resource (432 p.)
Note:10.1007/978-3-0348-8097-8
Contents:1 Lie algebras -- 1.1 Definition and basic properties -- 1.2 Isomorphic Lie algebras -- 1.3 Operators and functions -- 1.4 Representation of a Lie algebra -- 1.5 Reducible and irreducible representations -- 2 The Lie algebras su(N) --
2.1 Hermitian matrices -- 2.2 Definition -- 2.3 Structure constants of su(N) -- 3 The Lie algebra su(2) -- 3.1 The generators of the su(2)-algebra -- 3.2 Operators constituting the algebra su(2) -- 3.3 Multiplets of su(2) -- 3.4
Irreducible representations of su(2) -- 3.5 Direct products of irreducible representations -- 3.6 Reduction of direct products of su(2) -- 3.7 Graphical reduction of direct products -- 4 The Lie algebra su(3) -- 4.1 The generators of
the su(3)-algebra -- 4.2 Subalgebras of the su(3)-algebra -- 4.3 Step operators and states in su(3) -- 4.4 Multiplets of su(3) -- 4.5 Individual states of the su(3)-multiplet -- 4.6 Dimension of the su(3)-multiplet -- 4.7 The smallest
su(3)-multiplets -- 4.8 The fundamental multiplet of su(3) -- 4.9 The hypercharge Y -- 4.10 Irreducible representations of the su(3) algebra -- 4.11 Casimir operators -- 4.12 The eigenvalue of the Casimir operator C1 in su(3) -- 4.13
Direct products of su(3)-multiplets -- 4.14 Decomposition of direct products of multiplets -- 5 The Lie algebra su(4) -- 5.1 The generators of the su(4)-algebra, subalgebras -- 5.2 Step operators and states in su(4) -- 5.3 Multiplets
of su(4) -- 5.4 The charm C -- 5.5 Direct products of su(4)-multiplets -- 5.6 The Cartan—Weyl basis of su(4) -- 6 General properties of the su(N)-algebras -- 6.1 Elements of the su(N)-algebra -- 6.2 Multiplets of su(N) -- References
ISBN:9783034880978
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Associative rings , Rings (Algebra) , Geometry , Physics , Mathematics , Associative Rings and Algebras , Geometry , Mathematical Methods in Physics
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Call number:SPRINGER-2003-9781461500834:ONLINE Show nearby items on shelf
Title:Dissociative Recombination of Molecular Ions with Electrons
Author(s):
Date:2003
Size:1 online resource (473 p.)
Note:10.1007/978-1-4615-0083-4
Contents:Dissociative Recombination Mechanisms -- Microwave Afterglows -- Dissociative Recombination of Electrons and Ions: The Early Experiments -- Optical Spectroscopy of Recombining Ions in Flowing Afterglow Plasmas -- Technique for
Distinguishing and Determining the Origin of Photon Emissions from He+/Ar+ Plasmas -- Reactions of Electrons with Hydrocarbon Cations: From Linear Alkanes to Aromatic Species -- Dissociative Recombination of Xe2+ and XeH+ --
Dissociative Recombination of Protonated Dimer Ions -- Storage Rings -- An Electrostatic Storage Ring for Studying Electron-Ion Collisions at KEK -- Studies of Dissociative Recombination in CRYRING -- Recent Studies of Three-Body
Fragmentation Dynamics via Dissociative Recombination in CRYRING -- Dissociative Recombination of Vibrational Excited Levels in Oxygen Molecular Ions -- Studies of Electron Collisions with CN+, CN? and HCN+/HNC+ -- Electron Induced
Vibrational Deexcitation of the Molecular Ions H2+ and D2+ -- General Theory -- Wave Packet Studies of Dissociative Recombination -- Stark Mixing in Rydberg Systems by Ultralow Energy Collisions with Ions -- Analytical Treatment of the
K Matrix Integral Equation in the Dynamics of Superexcited Molecules -- Extension of the Quantum Defect Theory and Its Application to Electron and Molecular Ion Collisions -- The Dissociative Recombination of N2+ -- Dissociative
Recombination of Slow Electrons and Molecular Oxygen Ions in a Strong Laser Field -- Dissociative Recombination of c-C3 H3+ -- H3+ Theory and Experiment* -- Help!!! Theory for H3+ Recombination Badly Needed -- Importance of Jahn-Teller
Coupling in the Dissociative Recombination of H 3+ by Low Energy Electrons -- A Model for Calculating Branching Ratios in H3+ Dissociative Recombination -- Quantum Dynamical Study of H3+ Recombination -- Recombination of H3+ and D3+
with Electrons -- Breakup Dynamics in H3+ and D3+ Dissociative Recombination -- Coupling of Bound States to Continuum States in Neutral Triatomic Hydrogen -- Ionization -- Rotationally Resolved Photoelectron Spectra from Vibrationally
Autoionizing Rydberg States of NO -- Predissociation versus Autoionization for High Rydberg States of H2 -- Vibrational Autoionization In Polyatomic Molecules -- State-Selected Associative Ionisation as a Probe of the Molecular
Dissociative Channels -- Ultracold Molecules: Formation, Detection -- Merged Beam Studies of Associative Ionization -- Astrophysical and Ionospheric Applications -- Dissociative Recombination in Interstellar Clouds -- Enigma of H3+ in
Diffuse Interstellar Clouds -- Dissociative Recombination and Deuterium Fractionation in Interstellar Clouds -- Dissociative Recombination in Cometary Ionospheres -- Absolute Total State-Selected Cross Sections for Ion-Molecule
Reactions of Importance in Planetary Ionospheres -- Attachment and Detachment -- Calculation of Electron Affinities -- Dissociative Electron Attachment in Gas and Condensed Phases -- Electron Collisions with C4? : Detachment Process
and Resonant Structure -- Dissociative Electron Attachment at Low Temperature to Clusters -- Large Enhancements in Dissociative Electron Attachment to Chlorine Containing Molecules Adsorbed on H2O Ice
ISBN:9781461500834
Series:eBooks
Series:SpringerLink (Online service)
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Keywords: Physics , Physical chemistry , Atmospheric sciences , Astrophysics , Atoms , Physics , Atomic, Molecular, Optical and Plasma Physics , Physical Chemistry , Astrophysics and Astroparticles , Atmospheric Sciences
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Call number:SPRINGER-2003-9781461302353:ONLINE Show nearby items on shelf
Title:Groups, Rings, Lie and Hopf Algebras
Author(s):
Date:2003
Size:1 online resource (241 p.)
Note:10.1007/978-1-4613-0235-3
Contents:Generalized Lie Solvability Of Associative Algebras -- Two-Sided Ideals Of Some Finite-Dimensional Algebras -- On HNN-Extensions In The Class Of Groups Of Large Odd Exponent -- Constructing Noetherian Algebras -- On Radicals Of Triple
Systems -- Some Results On Hopf Algebras Of Frobenius Type -- Polynomial Identities In Hopf Algebras: Passman’s Theorem And Its Dual -- Nilpotent Subsets Of Hopf Module Algebras -- On Hopf Algebra Extensions Arising From Semi-Direct
Products Of Groups -- An introduction to universal central extensions of Lie superalgebras -- Non-Commutative, Non-Cocommutative Semisimple Hopf Algebras -- Self-Normalization Of Free Subgroups In The Free Burnside Groups -- Root
Direct Limits Of Lie Superalgebras -- Torsion Freeness Of The Unit Group Of 1 + ?(G)?(A) -- Graded Identities And Induced Gradings On Group Algebras -- Endo - Distributive And Endo - Bezout Modules
ISBN:9781461302353
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 555
Keywords: Mathematics , Algebra , Associative rings , Rings (Algebra) , Category theory (Mathematics) , Homological algebra , Matrix theory , Nonassociative rings , Mathematics , Algebra , Associative Rings and Algebras , Non-associative Rings and Algebras , Linear and Multilinear Algebras, Matrix Theory , Category Theory, Homological Algebra
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Call number:SPRINGER-2003-9780387217710:ONLINE Show nearby items on shelf
Title:Exercises in Classical Ring Theory
Author(s): T. Y Lam
Date:2003
Edition:Second Edition
Size:1 online resource (364 p.)
Note:10.1007/b97448
Contents:Wedderburn-Artin Theory -- Jacobson Radical Theory -- to Representation Theory -- Prime and Primitive Rings -- to Division Rings -- Ordered Structures in Rings -- Local Rings, Semilocal Rings, and Idempotents -- Perfect and
Semiperfect Rings
ISBN:9780387217710
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Associative rings , Rings (Algebra) , Commutative algebra , Commutative rings , Mathematics , Commutative Rings and Algebras , Associative Rings and Algebras
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Call number:SPRINGER-2002-9789401732673:ONLINE Show nearby items on shelf
Title:The Concise Handbook of Algebra
Author(s): Alexander V Mikhalev
Date:2002
Size:1 online resource (618 p.)
Note:10.1007/978-94-017-3267-3
Contents:A Semigroups -- B Groups -- C Rings, Modules, Algebras -- D Fields -- E Representation Theory -- F Lattices -- G Universal Algebra -- H Homological Algebra -- I Miscellaneous -- About the Authors
ISBN:9789401732673
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebra , Associative rings , Rings (Algebra) , Commutative algebra , Commutative rings , Field theory (Physics) , Nonassociative rings , Mathematics , Algebra , Field Theory and Polynomials , Commutative Rings and Algebras , Associative Rings and Algebras , Non-associative Rings and Algebras
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Call number:SPRINGER-2002-9789401598781:ONLINE Show nearby items on shelf
Title:Rings Close to Regular
Author(s): Askar Tuganbaev
Date:2002
Size:1 online resource (350 p.)
Note:10.1007/978-94-015-9878-1
Contents:1 Some Basic Facts of Ring Theory -- 2 Regular and Strongly Regular Rings -- 3 Rings of Bounded Index and I0-rings -- 4 Semiregular and Weakly Regular Rings -- 5 Max Rings and ?-regular Rings -- 6 Exchange Rings and Modules -- 7
Separative Exchange Rings
ISBN:9789401598781
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 545
Keywords: Mathematics , Associative rings , Rings (Algebra) , Mathematics , Associative Rings and Algebras
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Call number:SPRINGER-2002-9789401002493:ONLINE Show nearby items on shelf
Title:Topological Rings Satisfying Compactness Conditions
Author(s): Mihail Ursul
Date:2002
Size:1 online resource (327 p.)
Note:10.1007/978-94-010-0249-3
Contents:1. Elements of topological groups -- 1. The definition of a topological group -- 2. Neighborhoods of elements of a topological group -- 3. Subgroups of a topological group -- 4. Morphisms and quotients of topological groups -- 5. The
axioms of separation in topological groups -- 6. Initial topologies. Products of topological groups -- 7. The co-product topology on the algebraic direct sum -- 8. Semi-direct products of topological groups -- 9. The embedding of
totally bounded groups in pseudo-compact ones -- 10. Metrization of topological groups -- 11. The connected component of a topological group -- 12. Quasi-components of topological groups -- 13. Complete topological groups -- 14.
Minimal topological groups -- 15. Free topological groups -- 16. The finest precompact topology on an Abelian group -- 17. Ordered topological groups -- 18. Topological groups of the second category -- 19. Inverse limits of topological
groups -- 2. Topological rings -- 1. The notion of a topological ring -- 2. Neighborhoods of zero of a topological ring -- 3. Subrings of topological rings -- 4. Compact right topological rings -- 5. The local structure of locally
compact rings -- 6. Structure of compact rings -- 7. The separated completion of a topological ring -- 8. Trivial extensions -- 9. Nil and nilpotence in the class of locally compact rings -- 10. The Wedderburn-Mal’cev theorem for
compact rings -- 11. Topological products of primary compact rings -- 12. Zero divisors in topological rings -- 13. The group of units of a topological ring -- 14. Boundedness in locally compact rings -- 15. Simple topological rings --
16. Homological dimension of a compact ring -- 17. Local direct sums of locally compact rings -- 18. Radicals in the class of locally compact rings -- 19. Endc(RM) -- 20. Locally compact division rings -- 21. Non-metrizable compact
domains -- 22. Open subrings of topological division rings -- 23. Tensor products of compact rings -- 24. Pseudo-compact topologies on the ring of polynomials -- 25. The Lefschetz duality -- 26. The uniqueness of compact ring
topologies -- 27. Totally bounded topological rings -- 28. Representations of locally compact rings -- 29. Open questions in topological groups and rings
ISBN:9789401002493
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 549
Keywords: Mathematics , Associative rings , Rings (Algebra) , Group theory , Nonassociative rings , Topological groups , Lie groups , Algebraic topology , Mathematics , Associative Rings and Algebras , Algebraic Topology , Topological Groups, Lie Groups , Group Theory and Generalizations , Non-associative Rings and Algebras
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Call number:SPRINGER-2002-9783540480426:ONLINE Show nearby items on shelf
Title:Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations
Author(s): Stefaan Caenepeel
Date:2002
Size:1 online resource (354 p.)
Note:10.1007/b83849
Contents:Part I: Entwined modules and Doi-Koppinen Hopf modules -- 1. Generalities -- 2. Doi-Koppinen Hopf modules and entwined modules -- 3. Frobenius and separable functors for entwined modules -- 4. Applications -- Part II: Nonlinear
equations -- 5. Yetter-Drinfeld modules and the quantum Yang-Baxter equation -- 6. Hopf modules and the pentagon equation -- 7. Long dimodules and the Long equation -- 8. The Frobenius-Separability equation -- References -- Index
ISBN:9783540480426
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1787
Keywords: Mathematics , Associative rings , Rings (Algebra) , Mathematics , Associative Rings and Algebras
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Call number:SPRINGER-2002-9783540457657:ONLINE Show nearby items on shelf
Title:Noncommutative Gröbner Bases and Filtered-Graded Transfer
Author(s): Huishi Li
Date:2002
Size:1 online resource (202 p.)
Note:10.1007/b84211
Contents:Introduction -- Chapter I: Basic Structural Tricks and Examples -- Chapter II: Gröbner Bases in Associative Algebras -- Chapter III: Gröbner Bases and Basic Algebraic-Algorithmic Structures -- Chapter IV: Filtered-Graded Transfer of
Gröbner Bases -- Chapter V: GK-dimension of Modules over Quadric Solvable Polynomial Algebras and Elimination of Variables -- Chapter VI: Multiplicity Computation of Modules over Quadric Solvable Polynomial Algebras -- Chapter VII:
(partial-)Holonomic Modules and Functions over Quadric Solvable Polynomial Algebras -- Chapter VII: Regularity and Ko-group of Quadric Solvable Polynomial Algebras -- References -- Index
ISBN:9783540457657
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1795
Keywords: Mathematics , Associative rings , Rings (Algebra) , Algorithms , Mathematics , Associative Rings and Algebras , Algorithms
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Call number:SPRINGER-2002-9783540454236:ONLINE Show nearby items on shelf
Title:Yetter-Drinfel’d Hopf Algebras over Groups of Prime Order
Author(s): Yorck Sommerhäuser
Date:2002
Size:1 online resource (164 p.)
Note:10.1007/b83955
Contents:Introduction -- Preliminaries -- Clifford theory -- Examples -- Isomorphisms -- Constructions -- Commutative Yetter-Drinfel'd Hopf algebras -- 7.Cocommutative Yetter-Drinfel'd Hopf algebras -- Semisimple Hopf algebras of dimension p3
-- Semisimple Hopf algebras of dimension pq -- Applications -- References -- Subject index -- Symbol index
ISBN:9783540454236
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1789
Keywords: Mathematics , Associative rings , Rings (Algebra) , Mathematics , Associative Rings and Algebras
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Call number:SPRINGER-2002-9781461302674:ONLINE Show nearby items on shelf
Title:Nearrings Some Developments Linked to Semigroups and Groups
Author(s): Celestina Cotti Ferrero
Date:2002
Size:1 online resource (611 p.)
Note:10.1007/978-1-4613-0267-4
Contents:1. Elements -- 1.1 Notations and terminology -- 1.2 Definitions and first examples -- 1.3 Clay functions and elementary properties -- 1.4 Polynomial nearrings -- 1.5 Axiomatical and geometric questions -- 1.6 Ideals -- 1.7
Distributivity conditions -- 1.8 Maps -- 1.9 Modules -- 1.10 On radicals -- 1.11 Density and interpolation -- 1.12 Group and matrix nearrings -- 1.13 Quasi-local nearrings -- 1.14 Varieties -- 2. Constructions -- 2.1 Global
constructions -- 2.2 Orbits of Clay semigroups -- 2.3 Syntactic nearrings -- 2.4 Deforming the product -- 2.5 Deforming the sum -- 3. Regularities -- 3.1 Idempotents in nearrings -- 3.2 Reduced nearrings -- 3.3 Regularity conditions --
3.4 Regular and right strongly regular nearrings -- 3.5 Generalized nearfields -- 3.6 Stable and bipotent nearrings -- 3.7 Some nearrings are nearfields -- 4. Multiplicative Identities -- 4.1 Permutation identities -- 4.2 Commutativity
conditions -- 4.3 Herstein’s condition -- 4.4 Particular periodic nearrings -- 4.5 Derivations -- 5. Prime and Minimal -- 5.1 Prime and semiprime ideals -- 5.2 M-systems -- 5.3 On hereditariness of the i-prime nearrings -- 5.4 Links
among various types of primeness -- 5.5 Regularities and primenesses according to Grönewald and Olivier -- 5.6 A generalization of primary Nöther decomposition -- 5.7 Minimal ideals -- 6. “Simpler” Nearrings -- 6.1 Groups hosting only
trivial nearrings -- 6.2 Strictly simple nearrings -- 6.3 On n-simple and n-strictly simple nearrings -- 6.4 Weakly divisible nearrings -- 6.5 H-integral nearrings -- 7. Maps -- 7.1 Generalizations of homomorphisms -- 7.2 Endomorphism
nearrings -- 7.3 Endomorphism nearrings can be rings -- 7.4 Nearrings of maps with condition on the images -- 7.5 Coincidence problems -- 7.6 The isomorphism problem -- 8. Centralizers -- 8.1 Introductory remarks -- 8.2 Homogeneous
functions -- 8.3 On centralizers of a group of automorphisms -- 8.4 Covers and fibrations -- 8.5 Geometric remarks
ISBN:9781461302674
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Advances in Mathematics : 4
Keywords: Mathematics , Coding theory , Computer science , Associative rings , Rings (Algebra) , Group theory , Combinatorics , Mathematics , Associative Rings and Algebras , Combinatorics , Discrete Mathematics in Computer Science , Group Theory and Generalizations , Coding and Information Theory
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Call number:SPRINGER-2002-9781461300410:ONLINE Show nearby items on shelf
Title:Algebra
Author(s): Serge Lang
Date:2002
Edition:Revised Third Edition
Size:1 online resource (914 p.)
Note:10.1007/978-1-4613-0041-0
Contents:One The Basic Objects of Algebra -- I Groups -- II Rings -- III Modules -- IV Polynomials -- Two Algebraic Equations -- V Algebraic Extensions -- VI Galois Theory -- VII Extensions of Rings -- VIII Transcendental Extensions -- IX
Algebraic Spaces -- X Noetherian Rings and Modules -- XI Real Fields -- XII Absolute Values -- Three Linear Algebra and Representations -- XIII Matrices and Linear Maps -- XIV Representation of One Endomorphism -- XV Structure of
Bilinear Forms -- XVI The Tensor Product -- XVII Semisimplicity -- XVIII Representations of Finite Groups -- XIX The Alternating Product -- Four Homological Algebra -- XX General Homology Theory -- XXI Finite Free Resolutions --
Appendix 2 Some Set Theory
ISBN:9781461300410
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Graduate Texts in Mathematics: 211
Keywords: Mathematics , Algebra , Associative rings , Rings (Algebra) , Commutative algebra , Commutative rings , Group theory , Matrix theory , Mathematics , Algebra , Commutative Rings and Algebras , Linear and Multilinear Algebras, Matrix Theory , Associative Rings and Algebras , Group Theory and Generalizations
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Call number:SPRINGER-2002-9780306471360:ONLINE Show nearby items on shelf
Title:The Landscape of Theoretical Physics: A Global View From Point Particles to the Brane World and Beyond, in Search of a Unifying Principle
Author(s): Matej Pavšič
Date:2002
Size:1 online resource (374 p.)
Note:10.1007/0-306-47136-1
Contents:Point Particles -- The Spinless Point Particle -- Point Particles and Clifford Algebra -- Harmonic Oscillator in Pseudo-Euclidean Space -- Extended Objects -- General Principles of Membrane Kinematics and Dynamics -- More About
Physics in M-Space -- Extended Objects and Clifford Algebra -- Quantization -- Brane World -- Spacetime as a Membrane in a Higher-Dimensional Space -- The Einstein-Hilbert Action on the Brane as the Effective Action -- On the
Resolution of Time Problem in Quantum Gravity -- Beyond the Horizon -- The Landscape of Theoretical Physics: A Global View -- Nobody Really Understands Quantum Mechanics -- Final Discussion
ISBN:9780306471360
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Fundamental Theories of Physics : 119
Keywords: Physics , Associative rings , Rings (Algebra) , Functional analysis , Quantum physics , Elementary particles (Physics) , Quantum field theory , Physics , Theoretical, Mathematical and Computational Physics , Elementary Particles, Quantum Field Theory , Functional Analysis , Quantum Physics , Associative Rings and Algebras
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Call number:SPRINGER-2001-9789401009546:ONLINE Show nearby items on shelf
Title:Near-Rings and Near-Fields Proceedings of the Conference on Near-Rings and Near-Fields, Stellenbosch, South Africa, July 9–16, 1997
Author(s):
Date:2001
Size:1 online resource (201 p.)
Note:10.1007/978-94-010-0954-6
Contents:Invited talks -- Combinatorial aspects of nearring theory To the memory of JAMES RAY CLAY -- Left self-distributive rings and nearrings -- On the development of matrix nearrings and related nearrings over the past decade --
Contributed papers -- The use of computers in near-ring theory -- Some results on derivations in nearrings -- Weakly divisible nearrings: genesis, construction and their links with designs -- On semi-endomorphisms of abelian groups --
A note on pseudo-distributivity in group near-rings -- The almost nilpotent radical for near rings -- Polynomial near-rings in several variables -- s-primitive ideals in matrix near-rings -- Essential ideals and R-subgroups in
near-rings -- Conditions that MA(G) is a ring -- On dependence and independence in near-rings -- On modules of homogeneous mappings -- The number of isomorphism classes of d.g. near-rings on the generalized quaternion groups -- When is
a centralizer near-ring isomorphic to a matrix near-ring? Part 2 -- Topology and primary N-groups -- On the radicals of composition near-rings
ISBN:9789401009546
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Numerical analysis , Computer science , Associative rings , Rings (Algebra) , Algebra , Field theory (Physics) , Nonassociative rings , Mathematics , Associative Rings and Algebras , Discrete Mathematics in Computer Science , Numeric Computing , Field Theory and Polynomials , Non-associative Rings and Algebras
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Call number:SPRINGER-2001-9789401006521:ONLINE Show nearby items on shelf
Title:Serial Rings
Author(s): Gennadi Puninski
Date:2001
Size:1 online resource (226 p.)
Note:10.1007/978-94-010-0652-1
Contents:1 Basic Notions -- 1.1 Preliminaries -- 1.2 Dimensions -- 1.3 Basic ring theory -- 1.4 Serial rings and modules -- 1.5 Ore sets -- 1.6 Semigroup rings -- 2 Finitely Presented Modules over Serial Rings -- 3 Prime Ideals in Serial Rings
-- 4 Classical Localizations in Serial Rings -- 5 Serial Rings with the A.C.C. on annihilators and Nonsingular Serial Rings -- 5.1 Serial rings with a.c.c. on annihilators -- 5.2 Nonsingular serial rings -- 6 Serial Prime Goldie Rings
-- 7 Noetherian Serial Rings -- 8 Artinian Serial Rings -- 8.1 General theory -- 8.2 d-rings and group rings -- 9 Serial Rings with Krull Dimension -- 10 Model Theory for Modules -- 11 Indecomposable Pure Injective Modules over Serial
Rings -- 12 Super-Decomposable Pure Injective Modules over Commutative Valuation Rings -- 13 Pure Injective Modules over Commutative Valuation Domains -- 14 Pure Projective Modules over Nearly Simple Uniserial Domains -- 15 Pure
Projective Modules over Exceptional Uniserial Rings -- 16 ?-Pure Injective Modules over Serial Rings -- 17 Endomorphism Rings of Artinian Modules -- Notations
ISBN:9789401006521
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebra , Associative rings , Rings (Algebra) , Mathematical logic , Mathematics , Associative Rings and Algebras , Algebra , Mathematical Logic and Foundations , Mathematics, general
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Call number:SPRINGER-2001-9783642567551:ONLINE Show nearby items on shelf
Title:Finite Fields and Applications Proceedings of The Fifth International Conference on Finite Fields and Applications F q 5, held at the University of Augsburg, Germany, August 2–6, 1999
Author(s):
Date:2001
Size:1 online resource (490 p.)
Note:10.1007/978-3-642-56755-1
Contents:Projective Generalized Reed-Muller Codes over p-adic Numbers and Finite Rings -- Towards a Basis for the Space of Regular Functions in a Tower of Function Fields Meeting the Drinfeld-Vladut Bound -- Self-Dual Normal Bases and Related
Topics -- Permutations amongst the Dembowski-Ostrom Polynomials -- Associative Rational Functions in Two Variables -- A Note on the Minimal Polynomial of the Product of Linear Recurring Sequences -- Gelfond-Gramain’s Theorem for
Function Fields -- On Generalized Bent and q-ary Perfect Nonlinear Functions -- Divisible Designs Admitting, as an Automorphism Group, an Orthogonal Group or a Unitary Group. -- A Permutation of a Small Infinite Field -- Almost Perfect
Nonlinear Power Functions on GF(2n): A New Case for n Divisible by 5 -- On Non-Abelian Semi-Regular Relative Difference Sets -- Applications of Arithmetical Geometry to Cryptographic Constructions -- Gauß Periods in Finite Fields --
Constructions of Orthomorphisms of ?2n -- Period Polynomials for $$ {F_{{{p^{2}}}}} $$ of Fixed Small Degree -- Universal Generators for Primary Closures of Galois Fields -- Irreducible Polynomials Generated by Decimations -- Decoding
Reed-Muller Codes beyond Half the Minimum Distance -- On Binary Cyclic Codes With Few Weights -- Mac Williams Identities for Linear Codes over Finite Frobenius Rings -- Cyclotomic Function Fields with Many Rational Places -- On the
Siamese Twin Designs -- On the Brauer Monoid for Finite Fields -- Algorithms for Factoring Polynomials over Finite Fields -- Gauss Sums over Quasi-Frobenius Rings -- On the Early History of Galois Fields -- Linear Blocking Sets: a
Survey -- Comparison of Techniques on Divisibility Properties of Exponential Sums and Applications -- On the Rank of Appearance and the Number of Zeros of the Lucas Sequences over Fq -- A Permutation Problem for Finite Fields -- The
L-Function of Gold Exponential Sum -- On Permutation Polynomials and Derivable Translation Planes -- Pure L-Functions from Algebraic Geometry over Finite Fields -- Incomplete Additive Character Sums and Applications -- Applications of
Algebraic Curves to Constructions of Codes and Almost Perfect Sequences -- Author Index
ISBN:9783642567551
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Data structures (Computer science) , Data encryption (Computer science) , Algebra , Computer mathematics , Discrete mathematics , Combinatorics , Mathematics , Discrete Mathematics , Combinatorics , Data Structures, Cryptology and Information Theory , Algebra , Computational Mathematics and Numerical Analysis , Data Encryption
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Call number:SPRINGER-2000-9789401595889:ONLINE Show nearby items on shelf
Title:Lattice Concepts of Module Theory
Author(s): Grigore Călugăreanu
Date:2000
Size:1 online resource (225 p.)
Note:10.1007/978-94-015-9588-9
Contents:1 Basic notions and results -- 2 Compactly generated lattices -- 3 Composition series. Decompositions -- 4 Essential elements. Pseudo—complements -- 5 Socle. Torsion lattices -- 6 Independence. Semiatomic lattices -- 7 Radical.
Superfluous and fully invariant elements -- 8 Lattices of finite uniform dimension -- 9 Purity and neatness in lattices -- 10 Coatomic lattices -- 11 Co—compact lattices -- 12 Supplemented lattices. Locally artinian lattices -- 13
Several dimensions -- 14 Solutions of exercises
ISBN:9789401595889
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Texts in the Mathematical Sciences, A Graduate-Level Book Series: 22
Keywords: Mathematics , Algebra , Associative rings , Rings (Algebra) , Commutative algebra , Commutative rings , Group theory , Ordered algebraic structures , Mathematics , Order, Lattices, Ordered Algebraic Structures , Group Theory and Generalizations , Associative Rings and Algebras , Commutative Rings and Algebras , Algebra
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Call number:SPRINGER-2000-9783662041666:ONLINE Show nearby items on shelf
Title:Formal Power Series and Algebraic Combinatorics 12th International Conference, FPSAC’00, Moscow, Russia, June 2000, Proceedings
Author(s):
Date:2000
Size:1 online resource (808 p.)
Note:10.1007/978-3-662-04166-6
Contents:Exact Asymptotics of Meander Numbers -- Algorithms of Integral Representation of Combinatorial Sums and Their Applications -- Quasi-Symmetric Functions -- Equations over Free and Fully Residually Free Groups -- Recurring Sequences --
On Modules Supported in the Nullcone -- Towards Topological Classification of Univariate Complex Polynomials -- Applicability of Zeilberger’s Algorithm to Rational Functions -- Bases explicites et conjecture n! -- A Generalized Cover
Time for Random Walks on Graphs -- On the Square Root of Languages -- A General Cyclic Lemma for Multiset Permutation Inversions -- Enumeration of Some Labelled Trees -- On Aperiodic and Star-free Formal Power Series in Partially
Commuting Variables -- Some Generalizations of Quasi-symmetric Functions and Noncommutative Symmetric Functions -- The Skeleton of a Reduced Word and a Correspondence of Edelman and Greene -- Analytic Combinatorics of Chord Diagrams --
Specifying 2-trees -- About the Dynamics of Some Systems Based on Integer Partitions and Compositions -- Hecke Algebras of Type A at q = 0 and Quasi-differential Operators -- Central Characters and Conjugacy Classes of the Symmetric
Group -- The Füredi-Hajnal Conjecture Implies the Stanley-Wilf Conjecture -- Generalized Integer Partitions, Tilings of Zonotopes and Lattices -- Topology of Colors -- The Number of Subgroups in the Fundamental Groups of Some
Non-orientable 3-Manifolds -- Unranking of Labelled Combinatorial Structures -- On Gelfand-Tsetlin Bases for Representations of Classical Lie Algebras -- A Common Asymptotic Behavior for Different Classes of Sparse Labelled Graphs with
Given Number of Vertices and Edges -- On Functions Which are Limits of Domino Tilings -- Jeux de tableaux -- The Kronecker Product of Schur Functions Indexed by Two-Row Shapes or Hook Shapes -- Special Formal Series Solutions of Linear
Ordinary Differential Equations -- New Expressions for Level-restricted Kostka Polynomials -- A Combinatorial Interpretation of the Quotient-Difference Algorithm -- Regular Unicellular Dessins d’Enfants and Weil Curves -- Quantum
Division Ring -- On the Integer Models of Plane Trees -- Congruences Compatible with the Shuffle Product -- Arithmetical Properties of [pk]-Series Associated to p-Typical Formal Group Laws and Applications -- A Note on Linear
Preservers of a Certain Matrix Partial Order -- Trees of Diameter 4 -- The Makar-Limanov’s Construction of Algebraically Closed Skew Field via Mal’cev—Newmann Series -- About Nilpotency of Engel Algebras -- Belyi Functions Related to
Plane Graphs: Multiplicities and Parasitic Solutions -- Construction of the Annihilator of a Linear Recurring Sequence over Finite Module with the help of the Berlekamp—Massey Algorithm -- Polylinear Recurring Sequences over a Bimodule
-- An Improved Version of Standard Bases -- Effective Matrix Methods in Commutative Domains -- Polylinear Shift Registers and Standard Bases -- Burnside Matrices and Subgroup Embeddings in Finite Groups -- Distribution of Elements on
Cycles of Linear Recurrences over Galois Field -- On Witt’s Formula and Invariants for Free Lie Superalgebras -- Gröbner-Shirshov Bases for Kac-Moody Algebras An(1) and Bn(1) -- On Some Classes of Linear Representable Matroids -- On a
Class of Families of Belyi Functions -- Finite Basis Property of S-Ideals of Finite Dimensional Forms -- Peak Reduction Technique in Commutative Algebra -- On Algebraic Degrees and Multiplicities for Parameters of Some Finite Group
Rings -- Some Ring and Module Properties of Skew Power Series -- Some Ring and Module Properties of Skew Laurent Series -- Extending a Partially Ordered Set: Links with its Lattice of Ideals -- From Rational Functions to Regular
Languages -- Proving a Class of Hypergeometric Identities by Means of Generating Functions -- Séries génératrices exponentielles pour les ECO-systèmes signés -- New Statistics on Non-crossing Trees -- Expected Number of Inversions
After a Sequence of Random Adjacent Transpositions -- The Variety of Associative Rings, Which Satisfy the Identity x32 = 0, is Not Specht -- Polynomials of Bounded Tree Width -- Permutations Containing and Avoiding Certain Patterns --
On the Center of the Quantum Pseudoplactic Algebra -- ECO-Approximation of Algebraic Functions -- Methods for Computing the Concurrency Degree of Commutation Monoids -- An Application of Dumont’s Statistic -- On Wohlfahrt Formula for
Finite Abelian Groups -- Induction and Auslander-Reiten Sequences Over Crossed Products -- On Acceleration of Multiprecision Computation of Products and Sums of Products of Rational Numbers -- Combinatorial Aspects of Capelli
Identities and Structure of Algebras -- Generators and the Template Method Pattern. A Paradigm for Combinatorial Experimentation -- A Software to Solve Strip Tiling Problems -- Author Index
ISBN:9783662041666
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computer science , Discrete mathematics , Combinatorics , Mathematics , Discrete Mathematics , Combinatorics , Mathematics of Computing
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Call number:SPRINGER-2000-9783642597510:ONLINE Show nearby items on shelf
Title:Traffic and Granular Flow ’99 Social, Traffic, and Granular Dynamics
Author(s):
Date:2000
Size:1 online resource (522 p.)
Note:10.1007/978-3-642-59751-0
Contents:Foreword -- Preface -- List of Participants -- Social Dynamics -- Recurrence in Physical and Social Systems -- Econophysics: What Can Physicists Contribute to Economics? -- Catastrophe Effects and Optimal Extensions of Transportation
Flows in the Developing Urban System: A Review -- Evolutionary Models of Innovation Dynamics -- Universality of Group Decision Making -- Formation of Opinions under the Influence of Competing Agents -a Mean Field Approach -- Search for
Intelligence by Motion Analysis -) -- Anticipatory Traffic Forecast Using Multi-Agent Techniques -- Modal Split and Social Dilemmas -- Synthetising Brillouin Information-Thermodynamic Approach with the Social Synergetics Weidlich-Haag
Model -- Biology, Internet, Transport Theory -- Evolution of Molecular Phenotypes - A Physicist’s View of Darwin’s Principle -- Stochastic Resonance and Brownian Machinery: New Results -New Applications - New Goals -- Studies of
Bacterial Cooperative Organization -- Collective Motion and Optimal Self-Organisation in Self-Driven Systems -- Active Brownian Particles with Internal Energy Depot -- Associative Memory of a Pulse-Coupled Noisy Neural Network with
Delays: The Lighthouse Model -- Application of Neural Networks for Predictive and Control Purposes -- Optimizing Traffic in Virtual and Real Space -- Is Boltzmann’s Equation Physically Insufficient? -- Fractional Evolution Equations
and Irreversibility -- Dynamical Theory of Steady State Selection in Open Driven Diffusive Systems -- Application of a Deterministic Scheme for the Boltzmann Equation in Modelling Shock Wave Focusing -- Nonlinear Waves and Moving
Clusters on Rings -- Freezing by Heating in a Pedestrian Model -- Traffic Data and Applications -- Phase Transitions in Traffic Flow -- An Integrated Model of Transport and Urban Evolution (ITEM) -Traffic and City Development in
Emergent Nations -- Statistical Analysis of Freeway Traffic -- Nonlinear Control of Stop-and-Go Traffic -- Online Simulation and State Estimation for a Traffic Flow Model -- Traffic News by Dynamic Fuzzy Classification -- Evaluation of
Single Vehicle Data in Dependence of the Vehicle-Type, Lane, and Site -- Forecasting of Traffic Congestion -- Empirical Phase Diagram of Traffic Flow on Highways with On-Ramp -- On-Line Simulation of the Freeway Network of North
Rhine-Westphalia -- Traffic Data Collection Using Image Processing Technology -- Modelling of Traffic Flow -- Microscopic Simulation of Congested Traffic -- Order Parameter as an Additional State Variable of Unstable Traffic Flow --
Macroscopic Simulation of Open Systems and Micro-Macro Link -- Relating Car-Following and Continuum Models of Road Traffic -- Microscopic Randomness in Foliow-the-Leader Dynamics -- “Car-SPH”: A Lagrangian Particle Scheme for the
Solution of the Macroscopic Traffic Flow Equations -- An Exactly Solvable Two-Way Traffic Model with Ordered Sequential Update -- Exact Traveling Cluster Solutions of Differential Equations with Delay for a Traffic Flow Model -- Stable
and Metastable States in Congested Traffic -- Detailed Microscopic Rules to Simulate Multilane Freeway Traffic -- CA Models for Traffic Flow: Comparison with Empirical Single-Vehicle Data -- A New Cellular Automata Model for City
Traffic -- Stochastic Boundary Conditions in the Nagel-Schreckenberg Traffic Model -- A Stochastic Multi-Cluster Model of Freeway Traffic -- Granular Dynamics -- Jamming Patterns and Blockade Statistics in Model Granular Flows --
Kinetics of Granular Gases -- Particle Segregation in the Context of the Species Momentum Balances -- Avalanche Parameters: Dependence on the Size of the Granular Packing -- Ripple Formation in a Saltation-Avalanche Model -- Particle
Diffusion and Segregation in Rotating Cylinders -- Molecular Dynamics Simulation of Cohesive Granular Materials -- A Model for Slowly Moving Granular Matter -- Pressure Distribution of a Two-Dimensional Sandpile
ISBN:9783642597510
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Applied mathematics , Engineering mathematics , Condensed matter , Automotive engineering , Environmental sciences , Mathematics , Applications of Mathematics , Automotive Engineering , Math. Appl. in Environmental Science , Condensed Matter Physics
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Call number:SPRINGER-1999-9789401593335:ONLINE Show nearby items on shelf
Title:Semirings and their Applications
Author(s): Jonathan S Golan
Date:1999
Size:1 online resource (382 p.)
Note:10.1007/978-94-015-9333-5
Contents:1. Hemirings and semirings: definitions and examples -- 2. Sets and relations with values in a semiring -- 3. Building new semirings from old -- 4. Some conditions on semirings -- 5. Complemented elements in semirings -- 6. Ideals in
semirings -- 7. Prime and semiprime ideals in semirings -- 8. Factor semirings -- 9. Morphisms of semirings -- 10. Kernels of morphisms -- 11. Semirings of fractions -- 12. Euclidean semirings -- 13. Additively-regular semirings -- 14.
Semimodules over semirings -- 15. Factor semimodules -- 16. Some constructions for semimodules -- 17. Free, projective, and injective semimodules -- 18. Localization of semimodules -- 19. Linear algebra over a semiring -- 20.
Partially-ordered semirings -- 21. Lattice-ordered semirings -- 22. Complete semirings -- 23. Complete semimodules -- 24. CLO-semirings -- 25. Fixed points of affine maps -- References -- Index of applications -- Index of terminology
ISBN:9789401593335
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computer science , Algebra , Associative rings , Rings (Algebra) , Ordered algebraic structures , Mathematical logic , Calculus of variations , Mathematics , Algebra , Associative Rings and Algebras , Order, Lattices, Ordered Algebraic Structures , Calculus of Variations and Optimal Control Optimization , Discrete Mathematics in Computer Science , Mathematical Logic and Foundations
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Call number:SPRINGER-1999-9789401592413:ONLINE Show nearby items on shelf
Title:Power Algebras over Semirings With Applications in Mathematics and Computer Science
Author(s): Jonathan S Golan
Date:1999
Size:1 online resource (206 p.)
Note:10.1007/978-94-015-9241-3
Contents:Some (hopefully) motivating examples -- 0: Background material -- 1: Powers of a semiring -- 2: Relations with values in a semiring -- 3: Change of base semirings -- 4: Convolutions -- 5: Semiring-valued subsemigroups and submonoids
-- 6: Semiring-valued groups -- 7: Semiring-valued submodules and subspaces -- 8: Semiring-valued ideals in semirings and rings -- References
ISBN:9789401592413
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 488
Keywords: Mathematics , Computer science , Algebra , Associative rings , Rings (Algebra) , Ordered algebraic structures , Mathematical logic , Mathematics , Associative Rings and Algebras , Algebra , Order, Lattices, Ordered Algebraic Structures , Discrete Mathematics in Computer Science , Mathematical Logic and Foundations
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Call number:SPRINGER-1999-9783540467076:ONLINE Show nearby items on shelf
Title:Power Sums, Gorenstein Algebras, and Determinantal Loci
Author(s): Anthony Iarrobino
Date:1999
Size:1 online resource (354 p.)
Note:10.1007/BFb0093426
Contents:Forms and catalecticant matrices -- Sums of powers of linear forms, and gorenstein algebras -- Tangent spaces to catalecticant schemes -- The locus PS(s, j r) of sums of powers, and determinantal loci of catalecticant matrices --
Forms and zero-dimensional schemes I: Basic results, and the case r=3 -- Forms and zero-dimensional schemes, II: Annihilating schemes and reducible Gor(T) -- Connectedness and components of the determinantal locus ?V s(u, v r) --
Closures of the variety Gor(T), and the parameter space G(T) of graded algebras -- Questions and problems
ISBN:9783540467076
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1721
Keywords: Mathematics , Algebraic geometry , Associative rings , Rings (Algebra) , Mathematics , Algebraic Geometry , Associative Rings and Algebras
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Call number:SPRINGER-1998-9789401590976:ONLINE Show nearby items on shelf
Title:Introduction to Vertex Operator Superalgebras and Their Modules
Author(s): Xiaoping Xu
Date:1998
Size:1 online resource (360 p.)
Note:10.1007/978-94-015-9097-6
Contents:1 Self-Dual Codes -- 2 Self-Dual Lattices -- 3 Definitions and General Properties -- 4 Conformal Superalgebras, Affine Kac-Moody Algebras and KZ Equations -- 5 Analogue of the Highest-Weight Theory -- 6 Lattice Vertex Operator
Superalgebras -- 7 VOSAs Generated by Their Subspaces of Small Weights
ISBN:9789401590976
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 456
Keywords: Mathematics , Computer science , Associative rings , Rings (Algebra) , Nonassociative rings , Algebra , Ordered algebraic structures , Elementary particles (Physics) , Quantum field theory , Mathematics , Non-associative Rings and Algebras , Elementary Particles, Quantum Field Theory , Order, Lattices, Ordered Algebraic Structures , Discrete Mathematics in Computer Science , Associative Rings and Algebras
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Call number:SPRINGER-1998-9789401590044:ONLINE Show nearby items on shelf
Title:Exercises in Basic Ring Theory
Author(s): Grigore Cǎlugǎreanu
Date:1998
Size:1 online resource (200 p.)
Note:10.1007/978-94-015-9004-4
Contents:I Exercises -- 1 Fundamentals -- 2 Ideals -- 3 Zero Divisors -- 4 Ring Homomorphisms -- 5 Characteristics -- 6 Divisibility in Integral Domains -- 7 Division Rings -- 8 Automorphisms -- 9 The Tensor Product -- 10 Artinian and
Noetherian Rings -- 11 Socle and Radical -- 12 Semisimple Rings -- 13 Prime Ideals, Local Rings -- 14 Polynomial Rings -- 15 Rings of Quotients -- 16 Rings of Continuous Functions -- 17 Special Problems -- II Solutions -- 1
Fundamentals -- 2 Ideals -- 3 Zero Divisors -- 4 Ring Homomorphisms -- 5 Characteristics -- 6 Divisibility in Integral Domains -- 7 Division Rings -- 8 Automorphims -- 9 The Tensor Product -- 10 Artinian and Noetherian Rings -- 11
Socle and Radical -- 12 Semisimple Rings -- 13 Prime Ideals, Local Rings -- 14 Polynomial Rings -- 15 Rings of Quotients -- 16 Rings of Continuous Functions -- 17 Special problems
ISBN:9789401590044
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series: 20
Keywords: Mathematics , Associative rings , Rings (Algebra) , Commutative algebra , Commutative rings , Algebra , Field theory (Physics) , Ordered algebraic structures , Topology , Mathematics , Associative Rings and Algebras , Commutative Rings and Algebras , Field Theory and Polynomials , Order, Lattices, Ordered Algebraic Structures , Topology
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Call number:SPRINGER-1998-9789401150866:ONLINE Show nearby items on shelf
Title:Semidistributive Modules and Rings
Author(s): Askar A Tuganbaev
Date:1998
Size:1 online resource (357 p.)
Note:10.1007/978-94-011-5086-6
Contents:1 Radicals, local and semisimple modules -- 1.1 Maximal submodules and the Jacobson radical -- 1.2 Local and uniserial modules -- 1.3 Semisimple and Artinian modules -- 1.4 The prime radical -- 2 Projective and injective modules --
2.1 Free and projective modules -- 2.2 Injective modules -- 2.3 Injective hull -- 3 Bezout and regular modules -- 3.1 Regular modules -- 3.2 Unit-regular rings -- 3.3 Semilocal rings and distributivity -- 3.4 Strongly regular rings --
3.5 Bezout rings -- 4 Continuous and finite-dimensional modules -- 4.1 Closed submodules -- 4.2 Continuous modules -- 4.3 Finile-dimensional modules -- 4.4 Nonsingular ?-injective modules -- 5 Rings of quotients -- 5.1 Ore sets -- 5.2
Denominator sets and localizable rings -- 5.3 Maximal rings of quotients -- 6 Flat modules and semiperfect rings -- 6.1 Characterizations of flat modules -- 6.2 Submodules of flat modules -- 6.3 Semiperfect and perfect rings -- 7
Semihereditary and invariant rings -- 7.1 Coherent and reduced rings -- 7.2 Invariant rings -- 7.3 Rings with integrally closed factor rings -- 8 Endomorphism rings -- 8.1 Modules over endomorphism rings and quasi injective modules --
8.2 Nilpotent endomorphisms -- 8.3 Strongly indecomposable modules -- 9 Distributive rings with maximum conditions -- 9.1 Arithmetics of ideals -- 9.2 Noel.herian rings -- 9.3 Classical rings of quotients of distributive rings -- 9.4
Rings algebraic over their centre -- 10 Self-injective and skew-injective rings -- 10.1 Quasi-frobenius rings and direct sums of injective modules -- 10.2 Cyclic ?-injective modules -- 10.3 Integrally closed Noetherian rings -- 10.4
Cyclic skew-injective modules -- 10.5 Countably injective rings -- 11 Semidistributive and serial rings -- 11.1 Semidistributive modules -- 11.2 Semidistributive rings -- 11.3 Serial modules and rings -- 12 Monoid rings and related
topics -- 12.1 Series and polynomial rings -- 12.2 Quaternion algebras -- 12.3 Subgroups, submonoids, and annihilators -- 12.4 Regular group rings -- 12.5 Cancellative monoids -- 12.6 Semilattices and regular monoids
ISBN:9789401150866
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 449
Keywords: Mathematics , Associative rings , Rings (Algebra) , Commutative algebra , Commutative rings , Mathematics , Associative Rings and Algebras , Commutative Rings and Algebras
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Call number:SPRINGER-1998-9789401150361:ONLINE Show nearby items on shelf
Title:Clifford Algebras and Their Application in Mathematical Physics Aachen 1996
Author(s):
Date:1998
Size:1 online resource (447 p.)
Note:10.1007/978-94-011-5036-1
Contents:Dirac Operators and Clifford Geometry — New Unifying Principles in Particle Physics ? -- On the Hayman uniqueness problem for polyharmonic functions -- Left-linear and Nonlinear Riemann problems in Clifford analysis -- Spin structures
and harmonic spinors on nonhyperelliptic Riemann surfaces of small genera -- Decomposition of analytic hyperbolically harmonic functions -- Spin Gauge Theories: A Summary -- Manifolds with and without embeddings -- Dirac equation in
the Clifford algebra of Space -- Dirac theory from a field theoretic point of view -- On some applications of the biharmonic equation -- Spinor Particle Mechanics -- Clifford analysis and elliptic boundary value problems in unbounded
domains -- Twistors and Clifford Algebras -- How Many Essentialy Different Function Theories Exist? -- Variational Property of the Peano Kernel for Harmonicity Differences of Order p -- Clifford Analysis on the Sphere -- Type-changing
transformations of pseudo-Euclidean Hurwitz pairs, Clifford Analysis, and particle lifetimes -- Modified quaternionic analysis in ?4 -- Geometric Algebra and Lobachevski Geometry -- Generalizing the (F,G)- derivative in the sense of
Bers -- Formes quadratiques de Hardy-Weinberg et algèbres de Clifford -- On Dirac equations in curved space-times -- Some Partial Differential Equations in Clifford Analysis -- Teaching Clifford Algebra as Physical Mathematics --
Polydimensional Relativity, a Classical Generalization of the Automorphism Invariance Principle -- Subluminal and Superluminal Electromagnetic Waves and the Lepton Mass Spectrum -- Higher Spin and the Spacetime Algebra -- Curved Radon
Transforms in Clifford Analysis -- On a class of non-linear boundary value problems -- Pin structures and the Dirac operator on real projective spaces and quadrics -- Construction of monopoles and instantons by using spinors and the
inversion theorem -- Determinants, Manifolds with Boundary and Dirac Operators -- New dynamical equations for many particle system on the basis of multicomplex algebra
ISBN:9789401150361
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Fundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application : 94
Keywords: Mathematics , Associative rings , Rings (Algebra) , Functions of complex variables , Integral transforms , Operational calculus , Partial differential equations , Mathematical logic , Mathematics , Functions of a Complex Variable , Mathematical Logic and Foundations , Associative Rings and Algebras , Integral Transforms, Operational Calculus , Partial Differential Equations
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Call number:SPRINGER-1997-9789401724364:ONLINE Show nearby items on shelf
Title:Non-Commutative Valuation Rings and Semi-Hereditary Orders
Author(s): Hidetoshi Marubayashi
Date:1997
Size:1 online resource (192 p.)
Note:10.1007/978-94-017-2436-4
Contents:I. Semi-Hereditary and Prüfer Orders -- II. Dubrovin Valuation Rings -- III. Semi-Local Bezout Orders -- IV. The Applications and Examples -- A1. Semi-perfect rings and serial rings -- A2. Coherent rings -- A3. Azumaya algebras -- A4.
The lifting idempotents -- A5. Wedderburn’s Theorem -- References -- Index of Notation
ISBN:9789401724364
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:K-Monographs in Mathematics: 3
Keywords: Mathematics , Associative rings , Rings (Algebra) , Category theory (Mathematics) , Homological algebra , Commutative algebra , Commutative rings , Algebra , Field theory (Physics) , Ordered algebraic structures , Mathematics , Associative Rings and Algebras , Order, Lattices, Ordered Algebraic Structures , Category Theory, Homological Algebra , Commutative Rings and Algebras , Field Theory and Polynomials
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Call number:SPRINGER-1997-9789401588539:ONLINE Show nearby items on shelf
Title:Non-Abelian Homological Algebra and Its Applications
Author(s): Hvedri Inassaridze
Date:1997
Size:1 online resource (266 p.)
Note:10.1007/978-94-015-8853-9
Contents:1 Universal sequences of functors -- 2 Derived functors -- 3 Extensions and cohomology of monoids with coefficients in semimodules -- 4 Cohomology of algebraic theories and MacLane (co)homology of rings -- 5 K-functors -- 6
Non-abelian homology of groups -- References
ISBN:9789401588539
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 421
Keywords: Mathematics , Algebraic geometry , Associative rings , Rings (Algebra) , Category theory (Mathematics) , Homological algebra , K-theory , Algebraic topology , Mathematics , Category Theory, Homological Algebra , K-Theory , Associative Rings and Algebras , Algebraic Topology , Algebraic Geometry
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Call number:SPRINGER-1997-9789401586054:ONLINE Show nearby items on shelf
Title:Jordan, Real and Lie Structures in Operator Algebras
Author(s): Shavkat Ayupov
Date:1997
Size:1 online resource (230 p.)
Note:10.1007/978-94-015-8605-4
Contents:Preliminaries -- 1: Jordan Operator Algebras -- 2: Real Structure in W*-Algebras -- 3: Lie Structure in Operator Algebras -- References
ISBN:9789401586054
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 418
Keywords: Mathematics , Associative rings , Rings (Algebra) , Nonassociative rings , Functional analysis , Operator theory , Applied mathematics , Engineering mathematics , Mathematics , Functional Analysis , Operator Theory , Non-associative Rings and Algebras , Associative Rings and Algebras , Applications of Mathematics
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Call number:SPRINGER-1997-9789401157681:ONLINE Show nearby items on shelf
Title:Quaternions and Cayley Numbers Algebra and Applications
Author(s): J. P Ward
Date:1997
Size:1 online resource (242 p.)
Note:10.1007/978-94-011-5768-1
Contents:1 Fundamentals of Linear Algebra -- 1.1 Integers, Rationals and Real Numbers -- 1.2 Real Numbers and Displacements -- 1.3 Groups -- 1.4 Rings and Fields -- 1.5 Linear Spaces -- 1.6 Inner Product Spaces -- 1.7 Algebras -- 1.8 Complex
Numbers -- 2 Quaternions -- 2.1 Inventing Quaternions -- 2.2 Quaternion Algebra -- 2.3 The Exponential Form and Root Extraction -- 2.4 Frobenius’ Theorem -- 2.5 Inner Product for Quaternions -- 2.6 Quaternions and Rotations in 3- and
4-Dimensions -- 2.7 Relation to the Rotation Matrix -- 2.8 Matrix Formulation of Quaternions -- 2.9 Applications to Spherical Trigonometry -- 2.10 Rotating Axes in Mechanics -- 3 Complexified Quaternions -- 3.1 Scalars, Pseudoscalars,
Vectors and Pseudovectors -- 3.2 Complexified Quaternions: Euclidean Metric -- 3.3 Complexified Quaternions: Minkowski Metric -- 3.4 Application of Complexified Quaternions to Space-Time -- 3.5 Quaternions and Electromagnet ism -- 3.6
Quaternionic Representation of Bivectors -- 3.7 Null Tetrad for Space-time -- 3.8 Classification of Complex Bivectors and of the Weyl Tensor -- 4 Cayley Numbers -- 4.1 A Common Notation for Numbers -- 4.2 Cayley Numbers -- 4.3 Angles
and Cayley Numbers -- 4.4 Cayley Number Identities -- 4.5 Normed Algebras and the Hurwitz Theorem -- 4.6 Rotations in 7-and 8-Dimensional Euclidean Space -- 4.7 Basis Elements for Cayley Numbers -- 4.8 Geometry of 8-Dimensional
Rotations -- Appendix 1 Clifford Algebras -- Appendix 2 Computer Algebra and Cayley Numbers -- References
ISBN:9789401157681
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 403
Keywords: Mathematics , Associative rings , Rings (Algebra) , Matrix theory , Algebra , Nonassociative rings , Applied mathematics , Engineering mathematics , Physics , Mathematics , Associative Rings and Algebras , Non-associative Rings and Algebras , Linear and Multilinear Algebras, Matrix Theory , Theoretical, Mathematical and Computational Physics , Applications of Mathematics
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Call number:SPRINGER-1997-9781461541097:ONLINE Show nearby items on shelf
Title:Introduction to the Quantum Yang-Baxter Equation and Quantum Groups: An Algebraic Approach
Author(s): Larry A Lambe
Date:1997
Size:1 online resource (300 p.)
Note:10.1007/978-1-4615-4109-7
ISBN:9781461541097
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 423
Keywords: Mathematics , Numerical analysis , Associative rings , Rings (Algebra) , Category theory (Mathematics) , Homological algebra , Physics , Mathematics , Associative Rings and Algebras , Theoretical, Mathematical and Computational Physics , Numeric Computing , Category Theory, Homological Algebra
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Call number:SPRINGER-1997-9781461241249:ONLINE Show nearby items on shelf
Title:Finite Reductive Groups: Related Structures and Representations Proceedings of an International Conference held in Luminy, France
Author(s):
Date:1997
Size:1 online resource (452 p.)
Note:10.1007/978-1-4612-4124-9
Contents:q-Analogue of a Twisted Group Ring -- Formule des traces sur les corps finis -- Heights of Spin Characters in Characteristic 2 -- Sur certains éléments réguliers des groupes de Weyl et les variétés de Deligne-Lusztig associées --
Local Methods for Blocks of Reductive Groups over a Finite Field -- Splitting Fields for Jordan Subgroups -- A Norm Map for Endomorphism Algebras of Gelfand-Graev Representations -- Modular Representations of Finite Groups of Lie Type
in Non-Defining Characteristic -- Centers and Simple Modules for Iwahori-Hecke Algebras -- Quantum Groups, Hall Algebras and Quantized Shuffles -- Fourier Transforms, Nilpotent Orbits, Hall Polynomials and Green Functions -- Degrés
relatifs des algèbres cyclotomiques associées aux groupes de réflexions complexes de dimension deux -- Character Values of Iwahori-Hecke Algebras of Type B -- The Center of a Block -- Unipotent Characters of Finite Classical Groups --
A propos d’une conjecture de Langlands modulaire
ISBN:9781461241249
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics : 141
Keywords: Mathematics , Algebraic geometry , Associative rings , Rings (Algebra) , Group theory , Mathematics , Group Theory and Generalizations , Associative Rings and Algebras , Algebraic Geometry
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Call number:SPRINGER-1997-9781461219781:ONLINE Show nearby items on shelf
Title:Advances in Ring Theory
Author(s):
Date:1997
Size:1 online resource (335 p.)
Note:10.1007/978-1-4612-1978-1
Contents:Kasch Modules -- Compactness in Categories and Interpretations -- A Ring of Morita Context in Which Each Right Ideal is Weakly Self-injective -- Splitting Theorems and a Problem of Müller -- Decompositions of D1 Modules -- Right Cones
in Groups -- On Extensions of Regular Rings of Finite Index by Central Elements -- Intersections of Modules -- Minimal Cogenerators Over Osofsky and Camillo Rings -- Uniform Modules Over Goldie Prime Serial Rings -- Co-Versus
Contravariant Finiteness of Categories of Representations -- Monomials and the Lexicographic Order -- Rings Over Which Direct Sums of CS Modules Are CS -- Exchange Properties and the Total -- Local Bijective Gabriel Correspondence and
Torsion Theoretic FBN Rings -- Normalizing Extensions and the Second Layer Condition -- Generators of Subgroups of Finite Index in GLm (?G) -- Weak Relative Injective M-Subgenerated Modules -- Direct Product and Power Series Formations
Over 2-Primal Rings -- Localization in Noetherian Rings -- Projective Dimension of Ideals in Von Neumann Regular Rings -- Homological Properties of Color Lie Superalgebras -- Indecomposable Modules Over Artinian Right Serial Rings --
Nonsingular Extending Modules -- Right Hereditary, Right Perfect Rings Are Semiprimary -- On the Endomorphism Ring of a Discrete Module: A Theorem of F. Kasch -- Nonsingular Rings with Finite Type Dimension
ISBN:9781461219781
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebra , Associative rings , Rings (Algebra) , Commutative algebra , Commutative rings , Mathematics , Commutative Rings and Algebras , Associative Rings and Algebras , General Algebraic Systems , Algebra
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Call number:SPRINGER-1996-9789401587594:ONLINE Show nearby items on shelf
Title:Zariskian Filtrations
Author(s): Li Huishi
Date:1996
Size:1 online resource (253 p.)
Note:10.1007/978-94-015-8759-4
Contents:I Filtered Rings and Modules -- II Zariskian Filtrations -- III Auslander Regular Filtered (Graded) Rings -- IV Microlocalization of Filtered Rings and Modules, Quantum Sections and Gauge Algebras -- References
ISBN:9789401587594
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:K-Monographs in Mathematics: 2
Keywords: Mathematics , Algebraic geometry , Associative rings , Rings (Algebra) , Category theory (Mathematics) , Homological algebra , Partial differential equations , Elementary particles (Physics) , Quantum field theory , Mathematics , Associative Rings and Algebras , Category Theory, Homological Algebra , Algebraic Geometry , Partial Differential Equations , Elementary Particles, Quantum Field Theory
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Call number:SPRINGER-1996-9783034807333:ONLINE Show nearby items on shelf
Title:C0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians
Author(s): Werner O Amrein
Date:1996
Edition:2014. Reprint 2013 of the 1996 edition
Size:1 online resource (460 p.)
Note:10.1007/978-3-0348-0733-3
Contents:Preface -- Comments on notations -- 1 Some Spaces of Functions and Distributions -- 2 Real Interpolation of Banach Spaces -- 3 C0-Groups and Functional Calculi -- 4 Some Examples of C0-Groups -- 5 Automorphisms Associated to
C0-Representations -- 6 Unitary Representations and Regularity -- 7 The Conjugate Operator Method -- 8 An Algebraic Framework for the Many-Body Problem -- 9 Spectral Theory of N-Body Hamiltonians -- 10 Quantum-Mechanical N-Body Systems
-- Bibliography -- Notations -- Index
ISBN:9783034807333
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Associative rings , Rings (Algebra) , Harmonic analysis , Functions of complex variables , Algebraic topology , Mathematics , Functions of a Complex Variable , Associative Rings and Algebras , Algebraic Topology , Abstract Harmonic Analysis
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Call number:SPRINGER-1995-9789401584302:ONLINE Show nearby items on shelf
Title:Noncommutative Algebraic Geometry and Representations of Quantized Algebras
Author(s): Alexander L Rosenberg
Date:1995
Size:1 online resource (322 p.)
Note:10.1007/978-94-015-8430-2
Contents:I Noncommutative affine schemes -- II The left spectrum and irreducible representations of ‘small’ quantized and classical rings -- III Noncommutative local algebra -- IV Noncommutative local algebra and representations of certain
rings of mathematical physics -- V Skew PBW monads and representations -- VI Six spectra and two dimensions of an abelian category -- VII Noncommutative Projective Spectrum -- Reference -- Index of Notations
ISBN:9789401584302
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 330
Keywords: Mathematics , Associative rings , Rings (Algebra) , Category theory (Mathematics) , Homological algebra , Topological groups , Lie groups , Applied mathematics , Engineering mathematics , Mathematics , Associative Rings and Algebras , Topological Groups, Lie Groups , Category Theory, Homological Algebra , Applications of Mathematics
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Call number:SPRINGER-1995-9789401584227:ONLINE Show nearby items on shelf
Title:Clifford Algebras and Spinor Structures A Special Volume Dedicated to the Memory of Albert Crumeyrolle (1919–1992)
Author(s):
Date:1995
Size:1 online resource (425 p.)
Note:10.1007/978-94-015-8422-7
Contents:Table of Contents/Table des Matières -- Historical Survey -- Some Clifford algebra history -- Clifford Algebras -- Tensors and Clifford algebra -- Sur les algèbres de Clifford III -- Finite geometry, Dirac groups and the table of real
Clifford algebras -- Clifford algebra techniques in linear algebra -- Crumeyrolle/Chevalley, Weyl, Pure and Majorana Spinors -- Construction of spinors via Witt decomposition and primitive idempotents: a review --
Crumeyrolle-Chevalley-Riesz spinors and covariance -- Twistors as geometric objects in spacetime -- Crumeyrolle’s bivectors and spinors -- On the relationships between the Dirac spinors and Clifford subalgebra Cl1,3+ -- Spinor fields
and superfields as equivalence classes of exterior algebra fields -- Chevalley-Crumeyrolle spinors in McKane-Parisi-Sourlas theorem -- Spinors from a differential geometric point of view -- Dirac Operator, Maxwell’s Equations, and
Conformal Covariance -- Eigenvalues of the Dirac operator, twistors and Killing spinors on Riemannian manifolds -- Dirac’s field operator ? -- Biquaternionic formulation of Maxwell’s equations and their solutions -- The massless Dirac
equation, Maxwell’s equation, and the application of Clifford algebras -- The conformal covariance of Huygens’ principle-type integral formulae in Clifford analysis -- Clifford Analysis, Boundary Value Problems, Hermite Interpolants,
and Padé Approximants -- Cliffor-valued functions in Cl3 -- Clifford analysis and elliptic boundary value problems -- A complete boundary collocation system -- On the algebraic foundations of the vector ?-algorithm -- Clifford Algebras
and Generalizations -- Classical spinor structures on quantum spaces -- A unified metric -- Quantum braided Clifford algebras -- Clifford algebra for Hecke braid
ISBN:9789401584227
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 321
Keywords: Mathematics , Associative rings , Rings (Algebra) , Group theory , Physics , Quantum physics , Mathematics , Associative Rings and Algebras , Quantum Physics , Theoretical, Mathematical and Computational Physics , Group Theory and Generalizations
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Call number:SPRINGER-1995-9789401104432:ONLINE Show nearby items on shelf
Title:Abelian Groups and Modules Proceedings of the Padova Conference, Padova, Italy, June 23–July 1, 1994
Author(s):
Date:1995
Size:1 online resource (517 p.)
Note:10.1007/978-94-011-0443-2
Contents:Dual relative Krull dimension of modules over commutative rings -- Morita duality, linear compactness and AB5*: a survey -- Near isomorphism of Butler groups and representations of finite posets -- Locally free finite rank Butler
groups and near isomorphism -- Subgroups of Butler groups -- Some abelian groups with free duals -- Confirmation of a conjecture of Dauns and Hofmann on biregular rings -- Induction functors for the Doi-Koppinen unified Hopf modules --
One-dimensional rings of finite representation type -- Uniqueness of dualities -- Classification and non-classification results for abelian groups -- ?-pure-injectivemodules over serial rings -- Modules over endomorphism rings as
homotopy classes -- Categories of mixed and torsion-free finite rank abelian groups -- Reflexive representations of algebras -- Zero-dimensional subrings of commutative rings -- The dimension of the tensor product of two particular
pullbacks -- On the existence of rigid ?1- free abelian groups of cardinality ?1 -- Warfield duality and module extensions over a noetherian domain -- Von Neumann regular rings and direct sum decomposition problems -- Selforthogonal
modules -- Subrings of finite-dimensional rings -- Primary abelian groups whose countable subgroups have countable closure -- Isotype separable subgroups of totally projective groups -- Representable preradicals with enough projectives
-- Rings with periodic unit groups -- Abelian groups with contractions II: Weak o-minimality -- Almost completely decomposable torsion-free abelian groups -- On the exchange property for quasi-continuous modules -- Endomorphism rings
of Reid groups -- Completely decomposable subgroups and factors of finite rank completely decomposable groups -- On the endomorphism ring of an infinite dimensional vector space -- Some algebraically compact modules I -- The near
endomorphism ring of an almost completely decomposable group -- Reflexivity of left serial algebras -- On a class of minimal topological modules -- Steady rings may contain large sets of orthogonal idempotents -- The Holy Grail of
Algebra: Seeking complete sets of invariants -- Invariants for almost completely decomposable groups -- A class of modules with semisimple behavior -- The finitistic dimension conjectures — a tale of 3.5 decades
ISBN:9789401104432
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 343
Keywords: Mathematics , Algebraic geometry , Associative rings , Rings (Algebra) , Category theory (Mathematics) , Homological algebra , Commutative algebra , Commutative rings , Group theory , Mathematics , Associative Rings and Algebras , Group Theory and Generalizations , Category Theory, Homological Algebra , Commutative Rings and Algebras , Algebraic Geometry
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Call number:SPRINGER-1995-9789401103596:ONLINE Show nearby items on shelf
Title:Near-Rings and Near-Fields Proceedings of the Conference on Near-Rings and Near-Fields Fredericton, New Brunswick, Canada, July 18–24, 1993
Author(s):
Date:1995
Size:1 online resource (278 p.)
Note:10.1007/978-94-011-0359-6
Contents:On the Beginnings and Development of Near-Ring Theory -- Localized Distributivity Conditions -- Endomorphism Near-Rings Through the Ages -- On Regular Near-Ring Modules -- Does R Prime Imply MR(R2) is Simple? -- Essential Nilpotency
in Near-Rings -- Completely Prime Ideals and Radicals in Near-Rings -- Connecting Seminearrings to Probability Generating Functions -- Nilpotency and Solvability in Categories -- Centralizer Near-Rings Determined by End G -- On codes
from Residue Class Ring Generated Finite Ferrero Pairs -- On Minimal Varieties of Near-Rings -- Syntactic Nearrings -- On Sufficient Conditions for Near-Rings to be Isomorphic -- Simplicity of Some Nonzero-Symmetric Centralizer
Near-Rings -- Characterization of Some Finite Ferrero Pairs -- On Planar Local Nearrings and Bacon Spreads -- Construction of Finite Loops of Even Order -- N-Homomorphisms of Topological N-Groups -- The Bicentralizer Nearrings of R --
When is MA(G) a Ring? -- Anshel-Clay Near-Rings and Semiaffine Parallelogramspaces -- On Semi-Endomorphal Modules Over Ore Domains -- Subideals and Normality of Near-Ring Modules -- Endomorphism Nearrings on Finite Groups, a Report --
On the Structure Of Certain 2-Tame Near-Rings -- Rings Which are a Homomorphic Image of a Centralizer Near-Ring -- Homogeneous Maps of Free Ring Modules -- A decoding Strategy for Equal Weight Codes from Ferrero Pairs
ISBN:9789401103596
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 336
Keywords: Mathematics , Computer science , Associative rings , Rings (Algebra) , Group theory , Topological groups , Lie groups , Mathematics , Associative Rings and Algebras , Group Theory and Generalizations , Topological Groups, Lie Groups , Discrete Mathematics in Computer Science
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Call number:SPRINGER-1995-9789401103299:ONLINE Show nearby items on shelf
Title:Finite and Locally Finite Groups
Author(s):
Date:1995
Size:1 online resource (458 p.)
Note:10.1007/978-94-011-0329-9
Contents:Simple locally finite groups -- Algebraic groups -- Subgroups of simple algebraic groups and related finite and locally finite groups of Lie type -- Finite simple groups and permutation groups -- Finitary linear groups: a survey --
Locally finite simple groups of finitary linear transformations -- Non-finitary locally finite simple groups -- Inert subgroups in simple locally finite groups -- Group rings of simple locally finite groups -- Simple locally finite
groups of finite Morley rank and odd type -- Existentially closed groups in specific classes -- Groups acting on polynomial algebras -- Characters and sets of primes for solvable groups -- Character theory and length problems -- Finite
p-groups
ISBN:9789401103299
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series C: Mathematical and Physical Sciences: 471
Keywords: Mathematics , Associative rings , Rings (Algebra) , Group theory , Mathematics , Group Theory and Generalizations , Associative Rings and Algebras
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Call number:SPRINGER-1995-9783642784002:ONLINE Show nearby items on shelf
Title:Quantum Groups and Their Primitive Ideals
Author(s): Anthony Joseph
Date:1995
Size:1 online resource (383 p.)
Note:10.1007/978-3-642-78400-2
Contents:I. Hopf Algebras -- 1.1 Axioms of a Hopf Algebra -- 1.2 Group Algebras and Enveloping Algebras -- 1.3 Adjoint Action -- 1.4 The Hopf Dual -- 1.5 Comments and Complements -- 2. Excerpts from the Classical Theory -- 2.1 Lie Algebras --
2.2 Algebraic Lie Algebras -- 2.3 Algebraic Groups -- 2.4 Lie Algebras of Algebraic Groups -- 2.5 Comments and Complements -- 3. Encoding the Cartan Matrix -- 3.1 Quantum Weyl Algebras -- 3.2 The Drinfeld Double -- 3.3 The Rosso Form
and the Casimir Invariant -- 3.4 The Classical Limit and the Shapovalev Form -- 3.5 Comments and Complements -- 4. Highest Weight Modules -- 4.1 The Jantzen Filtration and Sum Formula -- 4.2 Kac-Moody Lie Algebras -- 4.3 Integrable
Modules for Uq(gc) -- 4.4 Demazure Modules and Product Formulae -- 4.5 Comments and Complements -- 5. The Crystal Basis -- 5.1 Operators in the Crystal Limit -- 5.2 Crystals -- 5.3 Ad-invariant Filtrations, Twisted Actions and the
Crystal Basis for Uq(n-) -- 5.4 The Grand Loop -- 5.5 Comments and Complements -- 6. The Global Bases -- 6.1 The ? Operation and the Embedding Theorem -- 6.2 Globalization -- 6.3 The Demazure Property -- 6.4 Littelmann’s Path Crystals
-- 6.5 Comments and Complements -- 7. Structure Theorems for Uq(g) -- 7.1 Local Finiteness for the Adjoint Action -- 7.2 Positivity of the Rosso Form -- 7.3 The Separation Theorem -- 7.4 Noetherianity -- 7.5 Comments and Complements --
8. The Primitive Spectrum of Uq(g) -- 8.1 The Poincaré Series of the Harmonic Space -- 8.2 Factorization of the Quantum PRV Determinants -- 8.3 Verma Module Annihilators -- 8.4 Equivalence of Categories -- 8.5 Comments and Complements
-- 9. Structure Theorems for Rq[G] -- 9.1 Commutativity Relations -- 9.2 Surjectivity and Injectivity Theorems -- 9.3 The Adjoint Action -- 9.4 The R-Matrix -- 9.5 Comments and Complements -- 10. The Prime Spectrum of Rq[G] -- 10.1
Highest Weight Modules -- 10.2 The Quantum Weyl Group -- 10.3 Prime and Primitive Ideals of Rq[G] -- 10.4 Hopf Algebra Automorphisms -- 10.5 Comments and Complements -- A.2 Excerpts from Ring Theory -- A.3 Combinatorial Identities and
Dimension Theory -- A.4 Remarks on Constructions of Quantum Groups -- A.5 Comments and Complements -- Index of Notation
ISBN:9783642784002
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge A Series of Modern Surveys in Mathematics: 29
Keywords: Mathematics , Algebraic geometry , Associative rings , Rings (Algebra) , Nonassociative rings , Topological groups , Lie groups , Physics , Mathematics , Non-associative Rings and Algebras , Associative Rings and Algebras , Topological Groups, Lie Groups , Algebraic Geometry , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1994-9789401582797:ONLINE Show nearby items on shelf
Title:Mutations of Alternative Algebras
Author(s): Alberto Elduque
Date:1994
Size:1 online resource (226 p.)
Note:10.1007/978-94-015-8279-7
Contents:I Nonassociative Algebras -- 1. Definitions and basic results -- 2. Simple and central simple algebras -- 3. Alternative algebras -- 4. Malcev-admissible algebras -- 5. Jordan-admissible algebras -- II Mutations of Associative
Algebras -- 1. Introduction -- 2. Identities in mutation algebras -- 3. Simple and prime mutation algebras -- 4. Mutations of simple associative algebras -- 5. Radicals of mutation algebras -- III Mutations of Alternative Algebras --
1. Introduction -- 2. Basic results -- 3. Identities -- 4. Mutations of Cayley-Dickson algebras -- 5. Simple and prime mutations of alternative algebras -- 6. Mutations of artinian alternative algebras -- IV Automorphisms and
Derivations -- 1. Introduction -- 2. Jordan homomorphisms and derivations -- 3. Automorphisms of mutations of associative algebras -- 4. Derivations of mutations of associative algebras -- 5. Composition algebras: The associative case
-- 6. Composition algebras: The octonion case -- V The Mutation Variety and Strict Representations -- 1. Basic concepts -- 2. Identities for the mutation variety -- 3. Additional properties of the mutation variety -- 4. Strict
representations of mutation algebras -- References -- Symbol Index
ISBN:9789401582797
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 278
Keywords: Mathematics , Associative rings , Rings (Algebra) , Matrix theory , Algebra , Nonassociative rings , Physics , Mechanics , Mathematics , Non-associative Rings and Algebras , Associative Rings and Algebras , Theoretical, Mathematical and Computational Physics , Linear and Multilinear Algebras, Matrix Theory , Mechanics
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Call number:SPRINGER-1994-9789401120029:ONLINE Show nearby items on shelf
Title:Algorithmic and Combinatorial Algebra
Author(s): L. A Bokut’
Date:1994
Size:1 online resource (384 p.)
Note:10.1007/978-94-011-2002-9
Contents:1 Composition Method for Associative Algebras -- 1.1 Introduction -- 1.2 Free Semigroups and Free Groups -- 1.3 The Composition Lemma -- 1.4 The Composition Lemma for Semigroup Algebras -- 1.5 The Generalised Clifford Algebra and Some
Other Examples -- 1.6 Finite-Dimensional Representation of a Generalised Clifford Algebra -- 1.7 More on Embeddings into Simple Algebras -- 2 Free Lie Algebras -- 2.1 Introduction -- 2.2 The Definition of Free Lie Algebras -- 2.3
Projective Algebras -- 2.4 Elementary Transformations and Automorphisms of Free Algebras -- 2.5 Lie Algebra Derivations -- 2.6 The Ideal of Codimension 1 -- 2.7 Constructing Generators for an Arbitrary Subalgebra in a Free Lie Algebra
-- 2.8 The Shirshov Theorem on Free Lie Algebra Subalgebras -- 2.9 Automorphisms of Free Lie Algebras of Finite Rank -- 2.10 A Criterion for a Lie Algebra to be Free -- 2.11 Bases of a Free Lie Algebra -- 2.12 Construction of Free Lie
Algebras -- 2.13 Universal Enveloping Associative Algebra -- 2.14 On Subrings of Free Rings with Operators -- 2.15 Embedding Lie Rings into Associative Rings with Operators -- 2.16 Restricted Lie Algebras -- 2.17 Relatively Free Lie
Algebras -- 2.18 Embedding Countable-Dimensional Lie Algebras into Lie Algebras with Two Generators -- 2.19 The Residual Finiteness of Associative and Lie Algebras -- 2.20 Residual Finiteness of Free Rings and Algebras -- 3 The
Composition Method in the Theory of Lie Algebras -- 3.1 Introduction -- 3.2 The Composition Lemma -- 3.3 Formulation of Decision Problems. One-Relator Lie Algebras -- 3.4 Embedding Lie Algebras into Simple Lie Algebras -- 3.5 The Main
Algorithmic Problems for Lie Algebras are Unsolvable -- 3.6 Unrecognizable Markov Properties for Finitely Presented Lie Algebras -- 3.7 Defining Relations of a Subalgebra -- 3.8 Residual Finiteness and Decision Problems -- 3.9 On
Residual Finiteness of One-Relator Lie Algebras -- 3.10 Constructing Free Resolutions -- 3.11 Cohomological Dimension of Almost Free Lie Algebras -- 4 Amalgamated Products of Lie Algebras -- 4.1 Introduction -- 4.2 Definition of
Amalgamated Products -- 4.3 Constructing the Free Product of Associative Algebras without 1 -- 4.4 Constructing the Amalgamated Product of Lie Algebras -- 4.5 Subalgebras of the Free Product of Lie Algebras -- 4.6 Generators of a
Subalgebra of the Free Product of Lie Algebras -- 4.7 Decomposition of a Free Product into the Sum of Two Subalgebras, One Free -- 4.8 Decomposition of a Subalgebra of a Free Product into the Sum of Two Subalgebras, One Free -- 4.9 The
Theorem on Subalgebras of an Amalgamated Product of Lie Algebras -- 4.10 Free Subalgebras in a Free Product of Lie Algebras -- 4.11 The Case in Which the Kurosh Formula Almost Holds -- 4.12 Supplementary Facts on Free Products -- 4.13
Residual Finiteness of Free Products of Associative and Lie Algebras -- 4.14 Residual Finiteness of Free Soluble Lie Algebras with respect to Inclusion into Finitely Generated Subalgebras -- 4.15 On Residual Finiteness of Free Soluble
Groups with respect to Inclusion into Finitely Generated Subgroups -- 4.16 On Residual Properties of Free Products of Lie Algebras. Central Systems in Free Products -- 5 The Problem of Endomorph Reducibility and Relatively Free Groups
with the Word Problem Unsolvable -- 5.1 Introduction -- 5.2 When the Problem of Endomorph Reducibility for Relatively Free Rings is Unsolvable -- 5.3 When the Problem of Endomorph Reducibility is Solvable -- 5.4 The Problem of
Endomorph Reducibility for Relatively Free Groups -- 5.5 The Variety R Included in NN -- 5.6 The Free Group T of the Variety $$ (\mathcal{A}_2^2 \cap \mathcal{N}_2 )\mathcal{A}_2 \mathcal{R} $$ and its Quotient Group S -- 5.7 The Main
Construction -- 5.8 Application to Constructing Non-Finitely-Based Varieties -- 5.9 An Interpretation of Polynomials -- 5.10 Unsolvability of Some Algorithmic Problems in the Theory of Group -- 6 The Constructive Method in the Theory
of HNN-extensions. Groups with Standard Normal Form -- 6.1 Introduction -- 6.2 Novikov-Boone Groups -- 6.3 The Novikov Lemma and the Britton Lemma -- 6.4 The Definition of Groups with Standard Normal Form -- 6.5 The Novikov Group AP1P2
-- 6.6 The Boone Group -- 7 The Constructive Method for HNN-extensions and the Conjugacy Problem for Novikov-Boone Groups -- 7.1 Introduction -- 7.2 The Conjugacy Problem for the Group G1 -- 7.3 The Group G2 -- 7.4 Some Calculuses --
7.5 The Conjugacy Problem for the Group AP1P2 -- 7.6 Auxiliary facts -- Appendix 1 Calculations in Free Groups -- Appendix 2 Algorithmic Properties of the Wreath Products of Groups -- Appendix 3 Survey of the Theory of Absolutely Free
Algebras
ISBN:9789401120029
Series:eBooks
Series:SpringerLink (Online service)
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Series:Mathematics and Its Applications : 255
Keywords: Mathematics , Algebra , Algorithms , Mathematics , Algebra , Algorithms
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Call number:SPRINGER-1994-9789401109901:ONLINE Show nearby items on shelf
Title:Non-Associative Algebra and Its Applications
Author(s):
Date:1994
Size:1 online resource (416 p.)
Note:10.1007/978-94-011-0990-1
Contents:Malcev superalgebras -- The first Tits construction of Albert algebras over locally ringed spaces -- The identity (x2)2 = ?(x)x3 in baric algebras -- Cayley-Klein Lie algebras and their quantum universal enveloping algebras -- On
constructions of nonsolvable Lie algebras whose ideals are in chain -- Lie algebras graded by root systems -- Bernstein representations -- On free differentials on associative algebras -- On primitive Jordan Banach algebras --
Zel’manov’s theorem for nondegenerately ultraprime Jordan-Banach algebras -- Jordan H*-triple systems -- Prime alternative triple systems -- M-ideals of Schreier type and the Dunford-Pettis property -- Spectra of elements of a
nonassociative algebra -- Ranges of elements of a nonassociative algebra -- Coordinatization of Jordan algebras over locally ringed spaces -- Sur la décomposition de Peirce -- On transitive left-symmetric algebras -- Spectral study of
some topological Jordan algebras -- Representations of reduced enveloping algebras -- A cohomological characterization of solvable modular Lie algebras -- An extension of the Zel’manov-Goldie theorem -- On the unitarization of highest
weight representations for affine Kac-Moody algebras -- Cohn’s theorem for superalgebras -- On Bernstein algebras of n-th order -- On Bernstein algebras -- Realization of Lie algebras with polynomial vector fields -- Les algèbres de
Kac-Moody et l’homologie dièdrale -- Quadratic differential equations in graded algebras -- Projective double Lie algebras on a Lie algebra -- On derivation algebras of group algebras -- J-diviseurs topologiques de zéro dans une
algèbre de Jordan n.c. normée -- On Freudenthal-Kantor triple systems and generalized structurable algebras -- Hermitian Jordan triple systems and the automorphisms of bounded symmetric domains -- Quadratic differential equations on
graded structures -- A generalization of Novikov rings -- Automorphismes et dérivations dans les algèbres de Barker -- Lattice isomorphisms of Jordan algebras over arbitrary fields -- Multibaric algebras -- The Bernstein Problem in
mathematical genetics and Bernstein algebras -- Les algèbres de mutation -- Non associative graded algebras -- Tracial elements for nonassociative H*-algebras -- On lattice isomorphism of Bernstein algebras -- Bernstein algebras whose
lattice ideals is linear -- Local algebras -- Applications of fox differential calculus to free Lie superalgebras -- On the cohomology for the Witt algebra w(1,1) -- 3-graded Lie algebras and Jordan pairs -- Super-triple systems,
normal and classical Yang-Baxter equations -- A conjecture on locally Novikov algebras -- Coalgebra, cocomposition and cohomology -- Minimal polynomial identities of bark algebras -- On power associative composition algebras --
Enumeration and classification of Albert algebras: reduced models and the invariants mod 2 -- Composition algebras over open dense subschemes of curves of genus zero -- Simple Jordan superalgebras -- Absolute valued algebras of degree
two -- On a generalization of the Jordan inverse -- On geodesic loops of trans-symmetric space -- Quadratic systems, blow-up, and algebras -- Quantization of Poisson superalgebras and speciality of Jordan Poisson superalgebras --
Duplicated algebras of algebras -- aux algèbres de Bernstein périodiques -- Randon Jordan derivations -- Randon derivations on H*-algebras -- Algebras of rank three -- Inner product characterizations of classical Cayley-Dickson
algebras -- Sur les ?-algèbras de Jordan non commutatives, de division, de dimension 8, possédant un automorphisme ou une dérivation non triviaux
ISBN:9789401109901
Series:eBooks
Series:SpringerLink (Online service)
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Series:Mathematics and Its Applications : 303
Keywords: Mathematics , Associative rings , Rings (Algebra) , Nonassociative rings , Functional analysis , Applied mathematics , Engineering mathematics , Biomathematics , Mathematics , Non-associative Rings and Algebras , Associative Rings and Algebras , Mathematical and Computational Biology , Applications of Mathematics , Functional Analysis
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Call number:SPRINGER-1993-9789401728232:ONLINE Show nearby items on shelf
Title:Quantum and Non-Commutative Analysis Past, Present and Future Perspectives
Author(s):
Date:1993
Size:1 online resource (464 p.)
Note:10.1007/978-94-017-2823-2
Contents:1 Quantum Field Theory -- Local Quantum Physics and Beyond -- A Non-commuting Realization of Minkowski Space -- Goldstone’s Theorem Revisited -- Global Observables in Local Quantum Physics -- State of the Art of Alain Connes’ Version
of the Standard Model -- Supersymmetric Extension of Quantum Scalar Field Theories -- 2 Statistical and Solid State Physics -- Optimal Two-Uniform Convexity and Fermion Hypercontractivity -- Renormalization Group and Non-linear Media
-- Random Walk Representations and Mayer Expansion -- The Free-energy Theorem -- Dynamical Entropy of Quasi-local Algebras -- The Weak Coupling Limit for a Fermi Gas in a Random Potential -- The Gap Labelling Theorem: the Case of
Automatic Sequences -- Operator Algebra Approach to Soluble Models of Quantum Spin Lattice Systems -- On Conservation Laws of the XY Model -- 3 Quantum Groups -- Reflection Equation Algebras and Quantum Groups -- Quantum Groups, Star
Products and Cyclic Cohomology -- Quantum Group Symmetry in Conformal Field Theory -- Spectrum of an Operator Appears in the Quantum SU(1,1) Group -- Takesaki Duality for the Crossed Product by Quantum Groups -- 4 Subfactors and Index
Theory -- A New Role of Graph Projections in Index Theory -- Endomorphisms and Automorphisms for Factor Inclusions -- Automorphisms in the Irreducible Decomposition of Sectors -- Fusion Rules and Classification of Subfactors -- Vector
Bundles and Bimodules -- Lattice Structure of Intermediate Subfactors -- Minimal Index Unimodular Sectors -- Subfactors and Conformal Field Theory -- 5 Operator Algebras and Related Topics -- A Classification of Certain Simple
C*-Algebra -- K-Theoretic Classifications for Certain Real Rank Zero C* algebras -- Inductive Limits of Interval Algebras The Simple Case -- Operator Algebras and Abstract Duals: Progress and Problems -- Regular Actions of Compact
Groups on Cuntz Algebras -- Almost Shift Invariant Projections in Infinite Tensor Products -- Strongly Elliptic and Subelliptic Operators on Lie Groups -- Postscripts -- List of Speakers
ISBN:9789401728232
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematical Physics Studies : 16
Keywords: Physics , Associative rings , Rings (Algebra) , Group theory , Special functions , Elementary particles (Physics) , Quantum field theory , Physics , Elementary Particles, Quantum Field Theory , Special Functions , Group Theory and Generalizations , Associative Rings and Algebras
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Call number:SPRINGER-1993-9789401708395:ONLINE Show nearby items on shelf
Title:Basic Structures of Modern Algebra
Author(s): Yuri Bahturin
Date:1993
Size:1 online resource (422 p.)
Note:10.1007/978-94-017-0839-5
Contents:1. Commutative algebra -- 2. Groups -- 3. Associative rings -- 4. Lie algebras -- 5. Homological algebra -- 6. Algebraic groups -- 7. Varieties of algebras -- Set-theoretic supplement -- References -- Symbol index
ISBN:9789401708395
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 265
Keywords: Mathematics , Associative rings , Rings (Algebra) , Commutative algebra , Commutative rings , Group theory , Nonassociative rings , Mathematics , Commutative Rings and Algebras , Associative Rings and Algebras , Non-associative Rings and Algebras , Group Theory and Generalizations
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Call number:SPRINGER-1993-9789401706957:ONLINE Show nearby items on shelf
Title:Algebraic K-Theory and Algebraic Topology
Author(s):
Date:1993
Size:1 online resource (328 p.)
Note:10.1007/978-94-017-0695-7
Contents:Conductors in the Non-separable Residue Field Case -- On the Reciprocity Sequence in the Higher Class Field Theory of Function Fields -- Résultats de “Pureté” pour les Variétés Lisses Sur un Corps Fini: Appendice à l’article de J-L.
Colliot-Thélène -- Module Structures on the Hochschild and Cyclic Homology of Graded Rings -- The Intersection Cohomology and Derived Category of Algebraic Stacks -- On the Lichtenbaum-Quillen Conjecture -- Tate Motives and the
Vanishing Conjectures for Algebraic K-theory -- Suslin Homology and Deligne 1-motives -- On p-adic Topological K-theory -- Life After the Telescope Conjecture -- Finiteness of Subintegrality -- Cohomological Hasse Principle for a
Threefold over a Finite Field -- Les K-groupes d’un Fibré Projectif -- Étale Chern Classes at the Prime 2 -- Cosimplicial Objects in Algebraic Geometry
ISBN:9789401706957
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series C: Mathematical and Physical Sciences: 407
Keywords: Mathematics , Algebraic geometry , Associative rings , Rings (Algebra) , K-theory , Algebra , Ordered algebraic structures , Algebraic topology , Mathematics , K-Theory , Algebraic Topology , Algebraic Geometry , Order, Lattices, Ordered Algebraic Structures , Associative Rings and Algebras
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Call number:SPRINGER-1993-9789401120067:ONLINE Show nearby items on shelf
Title:Clifford Algebras and their Applications in Mathematical Physics Proceedings of the Third Conference held at Deinze, Belgium, 1993
Author(s):
Date:1993
Size:1 online resource (411 p.)
Note:10.1007/978-94-011-2006-7
Contents:CLIFFORD ALGEBRAS and APPLICATIONS -- Quantum Clifford algebras -- Relations between Witt rings and Brauer groups -- Clifford algebra tables -- Finite geometry and the table of real Clifford algebras -- Jordan form in Clifford algebra
-- CLIFFORD ANALYSIS: Local and global theory for Dirac—type operators -- Elliptic boundary value problems in unbounded domains -- Dirac operators and manifolds with boundary -- Spin structures and harmonic spinors on Riemann surfaces
-- Spherical geometry and Möbius transformations -- Cauchy transforms and bi—axial monogenic power functions -- Note on the use of spherical vectorfields in Clifford analysis -- Quaternionic analysis and transmission problems --
C*—algebras of nonlocal quaternionic convolution type operators -- On the solutions of $$ {D^N}{\text{ }}{\hat D^M}{\text{ }}F = 0$$ -- Biregular quaternionic functions -- Monogenic and holomorphic functions -- Hypercomplex
differentiability and its applications -- Clifford algebras and boundary estimates for harmonic functions -- Regularity of functions with values in Clifford algebra based on a generalized axially symmetric potential theory operator --
On the analogue of the $$ \bar \partial$$ —problem in quaternionic analysis -- Hurwitz pairs and Clifford algebra representations -- On the Bergmann kernel function in the Clifford analysis -- SO(M)—invariant operators on Clifford
tensors -- Invariant differential operators on polynomial—valued functions -- A distributional approach to vector manifolds -- Clifford analysis for higher spins -- Quaternionic operator calculus and domain perturbation problems --
Classical Mechanics -- A hamiltonian model of dissipation with Clifford algebraic generalizations -- A formulation of hamiltonian mechanics using geometric calculus -- Mathematical Physics -- Local automorphism invariance: a
generalization of general relativity -- Differential forms in geometric calculus -- Clifford valued convolution operator algebras on the Heisenberg group -- Classical solutions of the Dirac equation: bound Coulomb states in
Aharonov-Bohm and Zeeman fields -- Geometric algebra versus numerical cartesianism -- Classification of multivector theories and the modification of the postulates of physics -- The “ideal” approach to spinors reconsidered -- Geometric
aspects of spinors -- A basis for double solution theory -- Spatial inversion and spinors -- Physical Models -- Non abelian gauge fields in the real Clifford algebra of space time -- Spin gauge theories: principles and predictions --
Gravity as a gauge theory in the spacetime algebra -- Cosmological consequences of a flat—space theory of gravity -- Zitterbewegung and electron structure -- Separation of the Dirac equation and positive definiteness of quantum numbers
ISBN:9789401120067
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Fundamental Theories of Physics, An International Book Series on The Fundametal Theories of Physics:Their Clarification,Development and Application : 55
Keywords: Physics , Associative rings , Rings (Algebra) , Mathematical analysis , Analysis (Mathematics) , Applied mathematics , Engineering mathematics , Physics , Theoretical, Mathematical and Computational Physics , Associative Rings and Algebras , Analysis , Applications of Mathematics
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Call number:SPRINGER-1993-9781461203537:ONLINE Show nearby items on shelf
Title:Generalized Vertex Algebras and Relative Vertex Operators
Author(s): Chongying Dong
Date:1993
Size:1 online resource (206 p.)
Note:10.1007/978-1-4612-0353-7
Contents:1 Introduction -- 2 The setting -- 3 Relative untwisted vertex operators -- 4 Quotient vertex operators -- 5 A Jacobi identity for relative untwisted vertex operators -- 6 Generalized vertex operator algebras and their modules -- 7
Duality for generalized vertex operator algebras -- 8 Monodromy representations of braid groups -- 9 Generalized vertex algebras and duality -- 10 Tensor products -- 11 Intertwining operators -- 12 Abelian intertwining algebras, third
cohomology and duality -- 13 Affine Lie algebras and vertex operator algebras -- 14 Z-algebras and parafermion algebras -- List of frequently-used symbols, in order of appearance
ISBN:9781461203537
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics : 112
Keywords: Mathematics , Algebra , Associative rings , Rings (Algebra) , Group theory , Topological groups , Lie groups , Operator theory , Physics , Mathematics , Algebra , Associative Rings and Algebras , Operator Theory , Group Theory and Generalizations , Topological Groups, Lie Groups , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1992-9789401580908:ONLINE Show nearby items on shelf
Title:Clifford Algebras and their Applications in Mathematical Physics Proceedings of Second Workshop held at Montpellier, France, 1989
Author(s):
Date:1992
Size:1 online resource (526 p.)
Note:10.1007/978-94-015-8090-8
Contents:General Survey -- Mathematical Viruses -- Clifford Algebras and Related Topics -- Algebraic spinors for R9,1 -- Tetrahedral structure of idempotents of the Clifford algebra C3,1 -- Clifford groups for arbitrary quadratic forms --
Clifford algebra calculations with a microcomputer -- Clifford algebras and Möbius transformations -- Algèbres de Clifford sur un Corps de Caractéristique 2 -- Real projective representations of real Clifford algebras and reflection
groups -- Parallel treatment of Riemannian and Symplectic Clifford algebras -- Classification, properties and applications of the Majorana representations of the real Clifford algebras Cp, q -- On the classification of Clifford
algebras as quadratic spaces in the case where the dimension is infinite and the base field has characteristic 2 -- On the kernel and image of the spin representation -- Finite geometries and Clifford algebras III -- Generalized
Clifford algebras and their representations -- Algebraic spin structures -- Clifford algebras and torogonal structures -- The idempotent structure of an infinite dimensional Clifford algebra -- On spinor classifications -- Clifford
Analysis -- HP spaces of monogenic functions -- Twistor correspondence in higher even dimensions -- A Gram-Schmidt method in Hilbert modules -- The relative position of L2 domains in Clifford Analysis -- A note on generalized
Rademacher and hyperbolic functions -- Fueter-Hurwitz Regular mappings and an integral representation -- Spin-gauge unification of integrable non linear systems -- On the linearization of a partial differential operator and
p-hyperholomorphic functions -- Algebres de Clifford-Hilbert et operateurs de Vertex -- Singular integral operators in Clifford Analysis -- Simplicial calculus with Geometric Algebra -- Clifford Analysis and Integral Geometry --
Fundamental solutions for operators which are polynomials in the Dirac operator -- On eigenvalue estimates of nonlinear Stokes eigenvalue problems -- Mathematical Physics -- Gauge field equation on principal fibre bundle. A Clifford
Algebra formulation -- Les Algebres de Clifford et les transformations des multivecteurs. L’Algebre de Clifford de R(1,3) et la constante de Planck -- Theorie relativiste du nucleon et du doublet ? -- Unified spin gauge theories of the
four fundamental forces -- The geometric structure of the space of fermionic physical observables -- Supergravity, supersymmetry: a geometric unitary spinor theory -- Fermions as special states of bosons -- Harmonic coordinates and the
electromagnetic field -- Clifford Analysis and systems of condensed phase -- The multivector structure of the matter and interaction field theories -- The normed maps ?11 × ?11 ? ?26 in Hypercomplex Analysis and in Physics -- On Dirac
and Dirac-Darwin-Hestenes Equations -- Geometrical content of the Fierz identities -- Historical Aspects of Clifford Algebras -- Notice biographique sur Màrio Schenberg -- Algebraic Structures of Finite Point Sets I
ISBN:9789401580908
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Fundamental Theories of Physics : 47
Keywords: Mathematics , Associative rings , Rings (Algebra) , Applied mathematics , Engineering mathematics , Quantum physics , Mathematics , Associative Rings and Algebras , Quantum Physics , Applications of Mathematics
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Call number:SPRINGER-1992-9783662028131:ONLINE Show nearby items on shelf
Title:Kac Algebras and Duality of Locally Compact Groups
Author(s): Michel Enock
Date:1992
Size:1 online resource (257 p.)
Note:10.1007/978-3-662-02813-1
Contents:1. Co-Involutive Hopf-Von Neumann Algebras -- 2. Kac Algebras -- 3. Representations of a Kac Algebra Dual Kac Algebra -- 4. Duality Theorems for Kac Algebras and Locally Compact Groups -- 5. The Category of Kac Algebras -- 6. Special
Cases: Unimodular, Compact, Discrete and Finite-Dimensional Kac Algebras -- Postface
ISBN:9783662028131
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebra , Associative rings , Rings (Algebra) , Nonassociative rings , Topological groups , Lie groups , Harmonic analysis , Mathematics , Algebra , Topological Groups, Lie Groups , Associative Rings and Algebras , Non-associative Rings and Algebras , Abstract Harmonic Analysis
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Call number:SPRINGER-1992-9781461203834:ONLINE Show nearby items on shelf
Title:The Langlands Classification and Irreducible Characters for Real Reductive Groups
Author(s): Jeffrey Adams
Date:1992
Size:1 online resource (320 p.)
Note:10.1007/978-1-4612-0383-4
Contents:1. Introduction -- 2. Structure theory: real forms -- 3. Structure theory: extended groups and Whittaker models -- 4. Structure theory: L-groups -- 5. Langlands parameters and L-homomorphisms -- 6. Geometric parameters -- 7. Complete
geometric parameters and perverse sheaves -- 8. Perverse sheaves on the geometric parameter space -- 9. The Langlands classification for tori -- 10. Covering groups and projective representations -- 11. The Langlands classification
without L-groups -- 12. Langlands parameters and Cartan subgroups -- 13. Pairings between Cartan subgroups and the proof of Theorem 10.4 -- 14. Proof of Propositions 13.6 and 13.8 -- 15. Multiplicity formulas for representations -- 16.
The translation principle, the Kazhdan-Lusztig algorithm, and Theorem 1.24 -- 17. Proof of Theorems 16.22 and 16.24 -- 18. Strongly stable characters and Theorem 1.29 -- 19. Characteristic cycles, micro-packets, and Corollary 1.32 --
20. Characteristic cycles and Harish-Chandra modules -- 21. The classification theorem and Harish-Chandra modules for the dual group -- 22. Arthur parameters -- 23. Local geometry of constructible sheaves -- 24. Microlocal geometry of
perverse sheaves -- 25. A fixed point formula -- 26. Endoscopic lifting -- 27. Special unipotent representations -- References
ISBN:9781461203834
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics : 104
Keywords: Mathematics , Algebra , Associative rings , Rings (Algebra) , Group theory , Mathematics , Group Theory and Generalizations , Associative Rings and Algebras , Algebra
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Call number:SPRINGER-1991-9789401136044:ONLINE Show nearby items on shelf
Title:Automorphisms and Derivations of Associative Rings
Author(s): V. K Kharchenko
Date:1991
Size:1 online resource (385 p.)
Note:10.1007/978-94-011-3604-4
Contents:1. Structure of Rings -- 1.1 Baer Radical and Semiprimeness -- 1.2 Automorphism Groups and Lie Differential Algebras -- 1.3 Bergman-Isaacs Theorem. Shelter Integrality -- 1.4 Martindale Ring of Quotients -- 1.5 The Generalized
Centroid of a Semiprime Ring -- 1.6 Modules over a Generalized Centroid -- 1.7 Extension of Automorphisms to a Ring of Quotients. Conjugation Modules -- 1.8 Extension of Derivations to a Ring of Quotients -- 1.9 The Canonical Sheaf of
a Semiprime Ring -- 1.10 Invariant Sheaves -- 1.11 The Metatheorem -- 1.12 Stalks of Canonical and Invariant Sheaves -- 1.13 Martindale’s Theorem -- 1.14 Quite Primitive Rings -- 1.15 Rings of Quotients of Quite Primitive Rings -- 2.
On Algebraic Independence of Automorphisms And Derivations -- 2.0 Trivial Algebraic Dependences -- 2.1 The Process of Reducing Polynomials -- 2.2 Linear Differential Identities with Automorphisms -- 2.3 Multilinear Differential
Identities with Automorphisms -- 2.4 Differential Identities of Prime Rings -- 2.5 Differential Identities of Semiprime Rings -- 2.6 Essential Identities -- 2.7 Some Applications: Galois Extentions of Pi-Rings Algebraic Automorphisms
and Derivations Associative Envelopes of Lie-Algebras of Derivations -- 3. The Galois Theory of Prime Rings (The Case Of Automorphisms) -- 3.1 Basic Notions -- 3.2 Some Properties of Finite Groups of Outer Automorphisms -- 3.3
Centralizers of Finite-Dimensional Algebras -- 3.4 Trace Forms -- 3.5 Galois Groups -- 3.6 Maschke Groups. Prime Dimensions -- 3.7 Bimodule Properties of Fixed Rings -- 3.8 Ring of Quotients of a Fixed Ring -- 3.9 Galois Subrings for
M-Groups -- 3.10 Correspondence Theorems -- 3.11 Extension of Isomorphisms -- 4. The Galois Theory of Prime Rings (The Case Of Derivations) -- 4.1 Duality for Derivations in the Multiplication Algebra -- 4.2 Transformation of
Differential Forms -- 4.3 Universal Constants -- 4.4 Shirshov Finiteness -- 4.5 The Correspondence Theorem -- 4.6 Extension of Derivations -- 5. The Galois Theory of Semiprime Rings -- 5.1 Essential Trace Forms -- 5.2 Intermediate
Subrings -- 5.3 The Correspondence Theorem for Derivations -- 5.4 Basic Notions of the Galois Theory of Semiprime Rings (the case of automorphisms) -- 5.5 Stalks of an Invariant Sheaf for a Regular Group. Homogenous Idempotents -- 5.6
Principal Trace Forms -- 5.7 Galois Groups -- 5.8 Galois Subrings for Regular Closed Groups -- 5.9 Correspondence and Extension Theorems -- 5.10 Shirshov Finiteness. The Structure of Bimodules -- 6. Applications -- 6.1 Free Algebras --
6.2 Noncommutative Invariants -- 6.3 Relations of a Ring with Fixed Rings -- 6.4 Relations of a Semiprime Ring with Ring of Constants -- 6.5 Hopf Algebras -- References
ISBN:9789401136044
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications (Soviet Series): 69
Keywords: Mathematics , Associative rings , Rings (Algebra) , Commutative algebra , Commutative rings , Nonassociative rings , Mathematics , Commutative Rings and Algebras , Associative Rings and Algebras , Non-associative Rings and Algebras
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Call number:SPRINGER-1991-9781461204411:ONLINE Show nearby items on shelf
Title:Effective Methods in Algebraic Geometry
Author(s):
Date:1991
Size:1 online resource (502 p.)
Note:10.1007/978-1-4612-0441-1
Contents:On Lack of Effectiveness in Semi-algebraic Geometry -- A simple constructive proof of Canonical Resolution of Singularities -- Local Membership Problems for Polynomial Ideals -- Un Algorithme pour le Calcul des Résultants -- On
algorithms for real algebraic plane curves -- Duality methods for the membership problem -- Exemples d’ensembles de Points en Position Uniforme -- Efficient Algorithms and Bounds for Wu-Ritt Characteristic Sets -- Noetherian Properties
and Growth of some Associative Algebras -- Codes and Elliptic Curves -- Algorithmes – disons rapides – pour la décomposition d’une variété algébrique en composantes irréductibles et équidimensionnelles -- Complexity of Solving Systems
of Linear Equations over the Rings of Differential Operators -- Membership problem, Representation problem and the Computation of the Radical for one-dimensional Ideals -- On the Complexity of Zero-dimensional Algebraic Systems -- A
Single Exponential Bound on the Complexity of Computing Gröbner Bases of Zero Dimensional Ideals -- Algorithms for a Multiple Algebraic Extension -- Elementary constructive theory of ordered fields -- Effective real Nullstellensatz and
variants -- Algorithms for the Solution of Systems of Linear Equations in Commutative Rings -- Une conjecture sur les anneaux de Chow A(G, ?) renforcée par un calcul formel -- Construction de courbes de genre 2 à partir de leurs
modules -- Computing Syzygies à la Gau?-Jordan -- The non-scalar Model of Complexity in Computational Geometry -- Géométrie et Interpretations Génériques, un Algorithme -- Canonical Bases: Relations with Standard Bases, Finiteness
Conditions and Application to Tame Automorphisms -- The tangent cone algorithm and some applications to local algebraic geometry -- Effective Methods for Systems of Algebraic Partial Differential Equations -- Finding roots of equations
involving functions defined by first order algebraic differential equations -- Some Effective Methods in the Openness of Loci for Cohen-Macaulay and Gorenstein Properties -- Sign determination on zero dimensional sets -- A
Classification of Finite-dimensional Monomial Algebras -- An algorithm related to compactifications of adjoint groups -- Deciding Consistency of Systems of Polynomial in Exponent Inequalities in Subexponential Time
ISBN:9781461204411
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics : 94
Keywords: Mathematics , Algebraic geometry , Mathematics , Algebraic Geometry
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Call number:SPRINGER-1990-9789401578776:ONLINE Show nearby items on shelf
Title:Orthogonal and Symplectic Clifford Algebras Spinor Structures
Author(s): Albert Crumeyrolle
Date:1990
Size:1 online resource (350 p.)
Note:10.1007/978-94-015-7877-6
Contents:Orthogonal and Symplectic Geometries -- Tensor Algebras, Exterior Algebras and Symmetric Algebras -- Orthogonal Clifford Algebras -- The Clifford Groups, the Twisted Clifford Groups and Their Fundamental Subgroups -- Spinors and Spin
Representations -- Fundamental Lie Algebras and Lie Groups in the Clifford Algebras -- The Matrix Approach to Spinors in Three and Four-Dimensional Spaces -- The Spinors in Maximal Index and Even Dimension -- The Spinors in Maximal
Index and Odd Dimension -- The Hermitian Structure on the Space of Complex Spinors—Conjugations and Related Notions -- Spinoriality Groups -- Coverings of the Complete Conformal Group—Twistors -- The Triality Principle, the Interaction
Principle and Orthosymplectic Graded Lie Algebras -- The Clifford Algebra and the Clifford Bundle of a Pseudo-Riemannian Manifold. Existence Conditions for Spinor Structures -- Spin Derivations -- The Dirac Equation -- Symplectic
Clifford Algebras and Associated Groups -- Symplectic Spinor Bundles—The Maslov Index -- Algebra Deformations on Symplectic Manifolds -- The Primitive Idempotents of the Clifford Algebras and the Amorphic Spinor Fiber Bundles --
Self-Dual Yang-Mills Fields and the Penrose Transform in the Spinor Context -- Symplectic Structures, Complex, Structures, Symplectic Spinors and the Fourier Transform
ISBN:9789401578776
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 57
Keywords: Physics , Associative rings , Rings (Algebra) , Differential geometry , Quantum physics , Physics , Quantum Physics , Differential Geometry , Associative Rings and Algebras
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Call number:SPRINGER-1990-9789400905979:ONLINE Show nearby items on shelf
Title:Symmetric and G-algebras With Applications to Group Representations
Author(s): Gregory Karpilovsky
Date:1990
Size:1 online resource (384 p.)
Note:10.1007/978-94-009-0597-9
Contents:1. Preliminaries -- 1. Notation and terminology -- 2. Artinian, noetherian and semisimple modules -- 3. Semisimple modules -- 4. The radical and socle of modules and rings -- 5. The Krull-Schmidt theorem -- 6. Matrix rings -- 7. The
Wedderburn-Artin theorem -- 8. Tensor products -- 9. Croup algebras -- 2. Frobenius and symmetric algebras -- 1. Definitions and elementary properties -- 2. Frobenius crossed products -- 3. Symmetric crossed products -- 4. Symmetric
endomorphism algebras -- 5. Projective covers and injective hulls -- 6. Classical results -- 7. Frobenius uniserial algebras -- 8. Characterizations of Frobenius algebras -- 9. Characters of symmetric algebras -- 10. Applications to
projective modular representations -- 11. Külshammer’s theorems -- 12. Applications -- 3. Symmetric local algebras -- 1. Symmetric local algebras A with dimFZ(A) ? 4 -- 2. Some technical lemmas -- 3. Symmetric local algebras A with
dimFZ(A) = 5 -- 4. Applications to modular representations -- 4. G-algebras and their applications -- 1. The trace map -- 2. Permutation G-algebras -- 3. Algebras over complete noetherian local rings -- 4. Defect groups in G-algebras
-- 5. Relative projective and injective modules -- 6. Vertices as defect groups -- 7. The G-algebra EndR((1H)G) -- 8. An application: The Robinson’s theorem -- 9. The Brauer morphism -- 10. Points and pointed groups -- 11. Interior
G-algebras -- 12. Bilinear forms on G-algebras
ISBN:9789400905979
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 60
Keywords: Mathematics , Algebra , Associative rings , Rings (Algebra) , Group theory , Mathematics , Algebra , Associative Rings and Algebras , Group Theory and Generalizations
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Call number:SPRINGER-1989-9781461245582:ONLINE Show nearby items on shelf
Title:Nilpotent Orbits, Primitive Ideals, and Characteristic Classes A Geometric Perspective in Ring Theory
Author(s): W Borho
Date:1989
Size:1 online resource (134 p.)
Note:10.1007/978-1-4612-4558-2
Contents:General Introduction -- § 1. A Description of Springer’s Weyl Group Representations in Terms of Characteristic Classes of Cone Bundles -- 1.1 Segre classes of cone bundles -- 1.2 Characteristic class of a subvariety of a vector bundle
-- 1.3 Characteristic class determined by a sheaf on a bundle -- 1.4 Comparison of the two definitions for Q -- 1.5 Homology of the flag variety -- 1.6 Cohomology of the flag variety -- 1.7 Orbital cone bundles on the flag variety --
1.8 Realization of Springer’s Weyl group representation -- 1.9 Reformulation in terms of intersection homology -- 1.10 The Weyl group action -- 1.11 Reduction to a crucial lemma -- 1.12 Completion of the proof of theorem 1.8 -- 1.13
Comparison with Springer’s original construction -- 1.14 Theorem: The maps in the diagram are W equivariant -- 1.15 Hotta’s transformation formulas -- § 2. Generalities on Equivariant K-Theory -- 2.1 Algebraic notion of fibre bundle --
2.2 Equivariant vector bundles and definition of KG(X) -- 2.3 Equivariant homogeneous vector bundles -- 2.4 Functoriality in the group G -- 2.5 Functoriality in the space X -- 2.6 The sheaf theoretical point of view -- 2.7 Existence of
equivariant locally free resolutions -- 2.8 Remarks on Gysin homomorphisms in terms of coherent sheaves -- 2.9 Equivariant K-theory on a vector bundle: Basic restriction techniques -- 2.10 Filtrations on KG(X) -- 2.11 Representation
rings for example -- 2.12 Application of equivariant K-theory to D-modules -- § 3. Equivariant K-Theory of Torus Actions and Formal Characters -- 3.1 The completed representation ring of a torus -- 3.2 Formal characters of T-modules --
3.3 Example -- 3.4 T-equivariant modules with highest weight -- 3.5 Projective and free cyclic highest weight modules -- 3.6 Formal characters of equivariant coherent sheaves -- 3.7 Restriction to the zero point -- 3.8 Computation of ?
degree -- 3.9 Character polynomials -- 3.10 Degree of character polynomial equals codimension of support -- 3.11 Positivity property of character polynomials -- 3.12 Division by a nonzero divisor -- 3.13 Proof of theorem 3.10 and 3.11
-- 3.14 Determination of character polynomials by supports -- 3.15 The theory of Hilbert—Samuel polynomials as a special case -- 3.16 Restriction to one parameter subgroups -- 3.17 A lemma on the growth of coefficients of a power
series -- 3.18 An alternative proof of theorem 3.10 -- § 4. Equivariant Characteristic Classes of Orbital Cone Bundles -- 4.1 Borel pictures of the cohomology of a flag variety -- 4.2 Description in terms of harmonic polynomials on a
Cartan subalgebra -- 4.3 Equivariant K—theory on T*X -- 4.4 Restriction to a fibre of T*X -- 4.5 Definition of equivariant characteristic classes -- 4.6 Comparison to the characteristic classes defined in §1 -- 4.7 Equivariant
characteristic classes of orbital cone bundles -- 4.8 Comparison with Joseph’s notion of “characteristic polynomials” -- 4.9 Generalization to the case of sheaves -- 4.10 Equivariance under a Levi subgroup -- 4.11 Multiple cross
section of a unipotent action -- 4.12 For example SL2 equivariance -- 4.13 Completing the proof of theorem 4.7.2 -- 4.14 Reproving Hotta’s transformation formula -- 4.15 On explicit computations of our characteristic classes -- 4.16
Example -- 4.17 Remark -- § 5. Primitive Ideals and Characteristic Classes -- 5.1 Characteristic class attached to a g module -- 5.2 Translation invariance -- 5.3 Characteristic variety of a Harish—Chandra bimodule -- 5.4 Homogeneous
Harish-Chandra bimodules -- 5.5 Characteristic cycle and class of a Harish—Chandra bimodule -- 5.6 Identification with a character polynomial -- 5.7 Harmonicity of character polynomial -- 5.8 Equivariant characteristic class for a
Harish—Chandra bimodule -- 5.9 Alternative proof of identification with character polynomials -- 5.10 Some non—commutative algebra -- 5.11 Definition of the polynomials PW -- 5.12 Relation to primitive ideals -- 5.13 Irreducibility of
Joseph’s Weyl group representation -- 5.14 Irreducibility of associated varieties of primitive ideals -- 5.15 Evaluation of character polynomials -- 5.16 Computation of Goldie ranks -- 5.17 Joseph—King factorization of polynomials PW
-- 5.18 Goldie ranks of primitive ideals
ISBN:9781461245582
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics : 78
Keywords: Mathematics , Algebra , Algebraic geometry , Associative rings , Rings (Algebra) , Group theory , Topological groups , Lie groups , Mathematics , Algebra , Topological Groups, Lie Groups , Associative Rings and Algebras , Algebraic Geometry , General Algebraic Systems , Group Theory and Generalizations
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Call number:SPRINGER-1988-9789400929852:ONLINE Show nearby items on shelf
Title:Perspectives in Ring Theory
Author(s):
Date:1988
Size:1 online resource (382 p.)
Note:10.1007/978-94-009-2985-2
Contents:I. Work-Shop: Geometry and Invariant Theory of Quivers -- Deformations of Tilting Modules -- Rational Invariants of Quivers and the Ring of Matrix Invariants -- The Hilbert Series of Matrix Concomitants and its Application -- A
Theorem on Invariants of Semi-simple Lie Algebras -- Deformations of Algebras and Hochschild Cohomology -- Report and Open Questions from a Work-shop on Geometry and Invariant Theory of Quivers -- II. Work-Shop: Perspectives in Ring
Theory -- Automorphisms of Generic 2 × 2 Matrices -- An Example in Central Division Algebras -- Cohomologie Localte et Cohomologie d’Algèbres de Lie -- Noncommutative Valuation Rings -- On Hopf Galois Extensions of Fields and Number
Rings -- The Brauer Long Group of ?/2? Dimodule Algebras -- On the Brauer Group and the Cup Product Map -- Group Actions on Module-finite Rings -- Algebraic Conjugacy Classes and Skew Polynomial Rings -- On the Gelfand-Kirillov
Dimension of Normal Localizations and Twisted Polynomial Rings -- Goldie Ranks of Prime Polycyclic Crossed Products -- The Gelfand-Kirillov Dimension of Poincaré-Birkhof-Witt Extensions -- The Nulstellensatz and Generic Flatness --
Gelfand-Kirillov Dimension, Hilbert-Samuel Polynomials and Rings of Differential Operators -- Gabriel-Popescu Type Theorems and Graded Modules -- Crossed Products of Hopf Algebras and Eveloping Algebras -- Progress on Some Problems
about Group Actions -- A Note on the P.I. Property of Semigroup Algebras -- Invariant Fields of Linear Groups and Division Algebras -- Group Graded Rings, Smash Products and Additive Categories -- Reflexive Auslauder-Reiten Sequences
-- Noncommutative Invariant Theory -- The Brauer-Severi Scheme of the Trace Ring of Generic Matrices -- Some Problems on Associative Rings -- Dubrovin Valuation Rings -- Special Monomial Algebras of Finite Global Dimension -- Index of
Definitions
ISBN:9789400929852
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series C: Mathematical and Physical Sciences: 233
Keywords: Mathematics , Associative rings , Rings (Algebra) , Mathematics , Associative Rings and Algebras
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Call number:SPRINGER-1988-9783540392781:ONLINE Show nearby items on shelf
Title:Ring Theory Proceedings of a Conference held in Granada, Spain, Sept. 1–6, 1986
Author(s):
Date:1988
Size:1 online resource (336 p.)
Note:10.1007/BFb0100908
Contents:Stable range of aleph-nought-continuou regular rings -- On filtered rings with noetherian associated graded rings -- Duality theorems for group actions and gradings -- Chain rings and valuations -- Directly finite ?0-complete regular
rings are unit-regular -- Cancellation theorems for projective graded modules -- Centraliseurs dans les anneaux de polynomes differentiels formels et leurs corps de fractions -- Regular group algebras whose maximal right and left
quotient rings coincide -- A survey of recent work on the cohomology of one-relator associative algebras -- Semiprime alternative rings with A.C.C. -- Continuous and pf rings of quotients -- Rings of quotients of endomorphism rings --
Some criteria for solvability of systems of linear equations over modules -- Centers of generic division algebras and zeta - functions -- Frobenius reciprocity and G0 of skew group rings -- Algèbre homologique et opérateurs
différentiels -- Cancellation modules over regular rings -- Noetherian property for semigroup rings -- Semi-rings and spectral spaces -- Some new progress on the isomorphismproblem for integral group rings -- A proof of the class sum
correspondence using the real group algebra -- Une caracterisation des anneaux artiniens a ideaux principaux -- Krull and Gabriel dimension relative to a linear topology -- On determinantal ideals over certain non commutative rings --
Large subdirect products -- Socle and semicocritical series -- Local cohomology of noncommutative rings: a geometric interpretation
ISBN:9783540392781
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1328
Keywords: Mathematics , Algebra , Mathematics , Algebra
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Call number:SPRINGER-1987-9789400938359:ONLINE Show nearby items on shelf
Title:Dimensions of Ring Theory
Author(s): Constantin Nǎstǎsescu
Date:1987
Size:1 online resource (360 p.)
Note:10.1007/978-94-009-3835-9
Contents:1. Finiteness Conditions for Lattices -- 1.1. Lattices -- 1.2. Noetherian and Artinian Lattices -- 1.3. Lattices of Finite Length -- 1.4. Irreducible Elements in a Lattice -- 1.5. Goldie Dimension of a Modular Lattice -- 1.6. Goldie
Dimension and Chain Conditions for Modular Lattices with Finite Group Actions -- 1.7. Complements and Pseudo-Complements -- 1.8. Semiatomic Lattices and Compactly Generated Lattices -- 1.9. Semiartinian Lattices -- 1.10. Indecomposable
Elements in a Lattice -- 1.11. Exercises -- Bibliographical Comments to Chapter 1 -- 2. Finiteness Conditions for Modules -- 2.1. Modules -- 2.2. The Lattice of Submodules of a Module -- 2.3. Noetherian and Artinian Modules -- 2.4.
Modules of Finite Length -- 2.5. Semisimple Modules -- 2.6. Semisimple and Simple Artinian Rings -- 2.7. The Jacobson Radical and the Prime Radical of a Ring -- 2.8. Rings of Fractions. Goldie’s Theorems -- 2.9. Artinian Modules which
are Noetherian -- 2.10. Projective and Infective Modules -- 2.11. Tensor Product and Flat Modules -- 2.12. Normalizing Extensions of a Ring -- 2.13. Graded Rings and Modules -- 2.14. Graded Rings and Modules of Type ?. Internal
Homogenisation -- 2.15. Noetherian Modules over Graded Rings of Type ?. Applications -- 2.16. Strongly Graded Rings and Clifford Systems for Finite Groups -- 2.17. Invariants of a Finite Group Action -- 2.18. Exercises --
Bibliographical Comments to Chapter 2 -- 3. Krull Dimension and Gabriel Dimension of an Ordered Set -- 3.1. Definitions and Basic Properties -- 3.2. The Krull Dimension of a Modular Lattice -- 3.3. Critical Composition Series of a
Lattice -- 3.4. The Gabriel Dimension of a Modular Lattice -- 3.5. Comparison of Krull and Gabriel Dimension -- 3.6. Exercises -- Bibliographical Comments to Chapter 3 -- 4. Krull Dimension and Gabriel Dimension of Rings and Modules --
4.1. Definitions and Generalities -- 4.2. Krull and Gabriel Dimension of Some Special Classes of Rings and Modules -- 4.3. Exercises -- Bibliographical Comments to Chapter 4 -- 5. Rings with Krull Dimension -- 5.1. Nil Ideals -- 5.2.
Semiprime Rings with Krull Dimension -- 5.3. Classical Krull Dimension of a Ring -- 5.4. Associated prime Ideals -- 5.5. Fully Left Bounded Rings with Krull Dimension -- 5.6. Examples of Noetherian Rings of Arbitrary Krull Dimension --
5.7. Exercises -- Bibliographical Comments to Chapter 5 -- 6. Krull Dimension of Noetherian Rings. The Principal Ideal Theorem -- 6.1. Fully Left Bounded Left Noetherian Rings -- 6.2. The Reduced Rank of a Module -- 6.3. Noetherian
Rings Satisfying Condition H -- 6.4. Fully Bounded Noetherian Rings -- 6.5. Krull Dimension and Invertible Ideals in a Noetherian Ring -- 6.6. The Principal Ideal Theorem -- 6.7. Exercises -- Bibliographical Comments to Chapter 6 -- 7.
Relative Krull and Gabriel Dimensions -- 7.1. Additive Topologies and Torsion Theories -- 7.2. The Lattices CF (M) and CHg -- 7.3. Relative Krull Dimension -- 7.4. Relative Krull Dimension Applied to the Principal Ideal Theorem -- 7.5.
Relative Gabriel Dimension -- 7.6. Relative Krull and Gabriel Dimensions of Graded Rings -- 7.7. Exercises -- Bibliographical Comments to Chapter 7 -- 8. Homological Dimensions -- 8.1. The Projective Dimension of a Module -- 8.2.
Homological Dimension of Polynomial Rings and Rings of Formal Power Series -- 8.3. Injective Dimension of a Module -- 8.4. The Flat Dimension of a Module -- 8.5. The Artin-Rees Property and Homological Dimensions -- 8.6. Regular Local
Rings -- 8.7. Exercises -- Bibliographical Comments to Chapter 8 -- 9. Rings of Finite Global Dimension -- 9.1. The Zariski Topology -- 9.2. The Local Study of Homological Dimension -- 9.3. Rings Integral over their Centres -- 9.4.
Commutative Rings of Finite Global Dimension -- 9.5. Exercises -- Bibliographical Comments to Chapter 9 -- 10. The Gelfand-Kirillov Dimension -- 10.1. Definitions and Basic Properties -- 10.2. GK-dimension of Filtered and Graded
Algebras -- 10.3. Applications to Special Classes of Rings -- 10.4. Exercises -- Bibliographical Comments to Chapter 10 -- References
ISBN:9789400938359
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 36
Keywords: Mathematics , Associative rings , Rings (Algebra) , Commutative algebra , Commutative rings , Nonassociative rings , Mathematics , Commutative Rings and Algebras , Associative Rings and Algebras , Non-associative Rings and Algebras
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Call number:SPRINGER-1986-9781461575542:ONLINE Show nearby items on shelf
Title:Optimal Unbiased Estimation of Variance Components
Author(s): James D Malley
Date:1986
Size:1 online resource (146 p.)
Note:10.1007/978-1-4615-7554-2
Contents:One: The Basic Model and the Estimation Problem -- 1.1 Introduction -- 1.2 An Example -- 1.3 The Matrix Formulation -- 1.4 The Estimation Criteria -- 1.5 Properties of the Criteria -- 1.6 Selection of Estimation Criteria -- Two: Basic
Linear Technique -- 2.1 Introduction -- 2.2 The vec and mat Operators -- 2.3 Useful Properties of the Operators -- Three: Linearization of the Basic Model -- 3.1 Introduction -- 3.2 The First Linearization -- 3.3 Calculation of var(y)
-- 3.4 The Second Linearization of the Basic Model -- 3.5 Additional Details of the Linearizations -- Four: The Ordinary Least Squares Estimates -- 4.1 Introduction -- 4.2 The Ordinary Least Squares Estimates: Calculation -- 4.3 The
Inner Structure of the Linearization -- 4.4 Estimable Functions of the Components -- 4.5 Further OLS Facts -- Five: The Seely-Zyskind Results -- 5.1 Introduction -- 5.2 The General Gauss-Markov Theorem: Some History and Motivation --
5.3 The General Gauss-Markov Theorem: Preliminaries -- 5.4 The General Gauss-Markov Theorem: Statement and Proof -- 5.5 The Zyskind Version of the Gauss-Markov Theorem -- 5.6 The Seely Condition for Optimal unbiased Estimation -- Six:
The General Solution to Optimal Unbiased Estimation -- 6.1 Introduction -- 6.2 A Full Statement of the Problem -- 6.3 The Lehmann-Scheffé Result -- 6.4 The Two Types of Closure -- 6.5 The General Solution -- 6.6 An Example -- Seven:
Background from Algebra -- 7.1 Introduction -- 7.2 Groups, Rings, Fields -- 7.3 Subrings and Ideals -- 7.4 Products in Jordan Rings -- 7.5 Idempotent and Nilpotent Elements -- 7.6 The Radical of an Associative or Jordan Algebra -- 7.7
Quadratic Ideals in Jordan Algebras -- Eight: The Structure of Semisimple Associative and Jordan Algebras -- 8.1 Introduction -- 8.2 The First Structure Theorem -- 8.3 Simple Jordan Algebras -- 8.4 Simple Associative Algebras -- Nine:
The Algebraic Structure of Variance Components -- 9.1 Introduction -- 9.2 The Structure of the Space of Optimal Kernels -- 9.3 The Two Algebras Generated by Sp(?2) -- 9.4 Quadratic Ideals in Sp(?2) -- 9.5 Further Properties of the
Space of Optimal Kernels -- 9.6 The Case of Sp(?2) Commutative -- 9.7 Examples of Mixed Model Structure Calculations: The Partially Balanced Incomplete Block Designs -- Ten: Statistical Consequences of the Algebraic Structure Theory --
10.1 Introduction -- 10.2 The Jordan Decomposition of an Optimal Unbiased Estimate -- 10.3 Non-Negative Unbiased Estimation -- Concluding Remarks -- References
ISBN:9781461575542
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Statistics: 39
Keywords: Mathematics , Applied mathematics , Engineering mathematics , Mathematics , Applications of Mathematics
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Call number:SPRINGER-1984-9789400963696:ONLINE Show nearby items on shelf
Title:Methods in Ring Theory
Author(s):
Date:1984
Size:1 online resource (576 p.)
Note:10.1007/978-94-009-6369-6
Contents:R-Prüfer Rings and Approximation Theorems -- Certain Artinian Lattices Are Noetherian. Applications to the Relative Hopkins-Levitzki Theorem -- A Generalization of Semisimple Modules -- Graded Complete and Graded Henselian Rings --
Cyclic Classes in Relative Brauer Groups -- Simple Noetherian Non-Matrix Rings -- Group-Gradings of Categories -- Brauer Groups of Homogeneous Spaces I -- Simple Submodules in a Finite Direct Sum of Uniform Modules -- Functors of
Graded Rings -- Sur une Classe d’Algèbres Filtrées -- Some Special Class of Artin Rings of Finite Type -- Group Rings and Maximal Orders -- A Note on Infinite Torsion Primes of a Commutative Ring -- Applications of Kummer Theory
Without Roots of Unity -- The Index of Nility of a Matrix Ring Over a Ring With Bounded Index -- On Algebraic Derivations of Prime Rings -- Smooth Maximal Orders in Quaternion Algebras I -- Group Rings and Division Rings -- On Free
Subobjects of Skew Fields -- Herstein’s Lie and Jordan Theory Revisited -- Divisorially Graded Orders in a Simple Artinian Ring -- ? -Injective Modules and QF-3 Endomorphism Rings -- Group Actions on Rings: Some Classical Problems --
Links Between Maximal Ideals in Bounded Noetherian Prime Rings of Krull Dimension One -- Noetherian Subrings of Quotient Rings -- Stability Conditions for Cummutative Rings with Krull Dimension -- Cancellative Group-Graded Rings -- The
Automorphism Group of a Polynomial Algebra -- Auslander-Reiten Quivers for Some Artinian Torsion Theories and Integral Representations -- Automorphisms and Isomorphisms of Integral Group Rings of Finite Groups -- Self-Injective
Dimension of Serial Rings -- Smooth Affine PI Algebras -- Questions on Skew Fields -- Torsion Units in Group Rings -- On the Length of Decompositions of Central Simple Algebras in Tensor Products of Symbols -- A Duality Theorem for
Hopf Algebras -- Note on Central Class Groups of Orders Over Krull Domains -- On the Picard Group of a Quasi-Affine Scheme -- Duality Theory for Quasi-Injective Modules -- List of Participants
ISBN:9789400963696
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series C: Mathematical and Physical Sciences: 129
Keywords: Mathematics , Algebra , Associative rings , Rings (Algebra) , Nonassociative rings , Mathematics , Algebra , Associative Rings and Algebras , Non-associative Rings and Algebras
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Call number:SPRINGER-1984-9783540391029:ONLINE Show nearby items on shelf
Title:Groups — Korea 1983 Proceedings of a Conference on Combinatorial Group Theory, held at Kyoungju, Korea, August 26–31, 1983
Author(s):
Date:1984
Size:1 online resource (190 p.)
Note:10.1007/BFb0099655
Contents:Algorithmically insoluble problems about finitely presented solvable groups, lie, and associative algebras -- On the simple groups of order less than 105 -- On some algorithmic problems for finitely presented groups and lie algebras
-- The concept of largeness in group theory II -- Extending groups via tree automorphisms -- HNN-constructing finite groups -- Analogues of the braid group -- Some uses of coset graphs -- Discontinuous groups -- Commutative quandles --
Metabelian groups of prime-power exponent -- Symmetric graphs and the classification of the finite simple groups -- Decision problems for infinite soluble groups -- Automorphisms and isomorphisms of integral group rings of finite
groups -- On induced isomorphisms of group rings -- Über Darstellungen von Elementen und Untergruppen in freien Produkten -- On the circle groups of finite nilpotent rings
ISBN:9783540391029
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1098
Keywords: Mathematics , Group theory , Combinatorics , Mathematics , Group Theory and Generalizations , Combinatorics
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Call number:SPRINGER-1982-9781475701630:ONLINE Show nearby items on shelf
Title:Associative Algebras
Author(s): Richard S Pierce
Date:1982
Size:1 online resource (436p p.)
Note:10.1007/978-1-4757-0163-0
Contents:1 The Associative Algebra -- 1.1. Conventions -- 1.2. Group Algebras -- 1.3. Endomorphism Algebras -- 1.4. Matrix Algebras -- 1.5. Finite Dimensional Algebras over a Field -- 1.6. Quaternion Algebras -- 1.7. Isomorphism of Quaternion
Algebras -- 2 Modules -- 2.1. Change of Scalars -- 2.2. The Lattice of Submodules -- 2.3. Simple Modules -- 2.4. Semisimple Modules -- 2.5. Structure of Semisimple Modules -- 2.6. Chain Conditions -- 2.7. The Radical -- 3 The Structure
of Semisimple Algebras -- 3.1. Semisimple Algebras -- 3.2. Minimal Right Ideals -- 3.3. Simple Algebras -- 3.4. Matrices of Homomorphisms -- 3.5. Wedderbum’s Structure Theorem -- 3.6. Maschke’s Theorem -- 4 The Radical -- 4.1. The
Radical of an Algebra -- 4.2. Nakayama’s Lemma -- 4.3. The Jacobson Radical -- 4.4. The Radical of an Artinian Algebra -- 4.5. Artinian Algebras Are Noetherian -- 4.6. Nilpotent Algebras -- 4.7. The Radical of a Group Algebra -- 4.8.
Ideals in Artinian Algebras -- 5 Indecomposable Modules -- 5.1. Direct Decompositions -- 5.2. Local Algebras -- 5.3. Fitting’s Lemma -- 5.4. The Krull-Schmidt Theorem -- 5.5. Representations of Algebras -- 5.6. Indecomposable and
Irreducible Representations -- 6 Projective Modules over Artinian Algebras -- 6.1. Projective Modules -- 6.2. Homomorphisms of Projective Modules -- 6.3. Structure of Projective Modules -- 6.4. Idempotents -- 6.5. Structure of Artinian
Algebras -- 6.6. Basic Algebras -- 6.7. Representation Type -- 7 Finite Representation Type -- 7.1. The Brauer-Thrall Conjectures -- 7.2. Bounded Representation Type -- 7.3. Sequence Categories -- 7.4. Simple Sequences -- 7.5. Almost
Split Sequences -- 7.6. Almost Split Extensions -- 7.7. Roiter’s Theorem -- 8 Representation of Quivers -- 8.1. Constructing Modules -- 8.2. Representation of Quivers -- 8.3. Application to Algebras -- 8.4. Subquivers -- 8.5. Rigid
Representations -- 8.6. Change of Orientation -- 8.7. Change of Representation -- 8.8. The Quadratic Space of a Quiver -- 8.9. Roots and Representations -- 9 Tensor Products -- 9.1. Tensor Products of R-modules -- 9.2. Tensor Products
of Algebras -- 9.3. Tensor Products of Modules over Algebras -- 9.4. Scalar Extensions -- 9.5. Induced Modules -- 9.6. Morita Equivalence -- 10 Separable Algebras -- 10.1. Bimodules -- 10.2. Separability -- 10.3. Separable Algebras Are
Finitely Generated -- 10.4. Categorical Properties -- 10.5. The Class of Separable Algebras -- 10.6. Extensions of Separable Algebras -- 10.7. Separable Algebras over Fields -- 10.8. Separable Extensions of Algebras -- 11 The
Cohomology of Algebras -- 11.1. Hochschild Cohomology -- 11.2. Properties of Cohomology -- 11.3. The Snake Lemma -- 11.4. Dimension -- 11.5. Zero Dimensional Algebras -- 11.6. The Principal Theorem -- 11.7. Split Extensions of Algebras
-- 11.8. Algebras with 2-nilpotent Radicals -- 12 Simple Algebras -- 12.1. Centers of Simple Algebras -- 12.2. The Density Theorem -- 12.3. The Jacobson-Bourbaki Theorem -- 12.4. Central Simple Algebras -- 12.5. The Brauer Group --
12.6. The Noether-Skolem Theorem -- 12.7. The Double Centralizer Theorem -- 13 Subfields of Simple Algebras -- 13.1. Maximal Subfields -- 13.2. Splitting Fields -- 13.3. Algebraic Splitting Fields -- 13.4. The Schur Index -- 13.5.
Separable Splitting Fields -- 13.6. The Cartan-Brauer-Hua Theorem -- 14 Galois Cohomology -- 14.1. Crossed Products -- 14.2. Cohomology and Brauer Groups -- 14.3. The Product Theorem -- 14.4. Exponents -- 14.5. Inflation -- 14.6.
Direct Limits -- 14.7. Restriction -- 15 Cyclic Division Algebras -- 15.1. Cyclic Algebras -- 15.2. Constructing Cyclic Algebras by Inflation -- 15.3. The Primary Decomposition of Cyclic Algebras -- 15.4. Characterizing Cyclic Division
Algebras -- 15.5. Division Algebras of Prime Degree -- 15.6. Division Algebras of Degree Three -- 15.7. A Non-cyclic Division Algebra -- 16 Norms -- 16.1. The Characteristic Polynomial -- 16.2. Computations -- 16.3. The Reduced Norm --
16.4. Transvections and Dilatations -- 16.5. Non-commutative Determinants -- 16.6. The Reduced Whitehead Group -- 17 Division Algebras over Local Fields -- 17.1. Valuations of Division Algebras -- 17.2. Non-archimedean Valuations --
17.3. Valuation Rings -- 17.4. The Topology of a Valuation -- 17.5. Local Fields -- 17.6. Extension of Valuations -- 17.7. Ramification -- 17.8. Unramified Extensions -- 17.9. Norm Factor Groups -- 17.10. Brauer Groups of Local Fields
-- 18 Division Algebras over Number Fields -- 18.1. Field Composita -- 18.2. More Extensions of Valuations -- 18.3. Valuations of Algebraic Number Fields -- 18.4. The Albert-Hasse-Brauer-Noether Theorem -- 18.5. The Brauer Groups of
Algebraic Number Fields -- 18.6. Cyclic Algebras over Number Fields -- 18.7. The Image of INV -- 19 Division Algebras over Transcendental Fields -- 19.1. The Norm Form -- 19.2. Quasi-algebraically Closed Fields -- 19.3. Krull’s Theorem
-- 19.4. Tsen’s Theorem -- 19.5. The Structure of B(K(x)/F(x)) -- 19.6. Exponents of Division Algebras -- 19.7. Twisted Laurent Series -- 19.8. Laurent Series Fields -- 19.9. Amitsur’s Example -- 20 Varieties of Algebras -- 20.1.
Polynomial Identities and Varieties -- 20.2. Special Identities -- 20.3. Identities for Central Simple Algebras -- 20.4. Standard Identities -- 20.5. Generic Matrix Algebras -- 20.6. Central Polynomials -- 20.7. Structure Theorems --
20.8. Universal Division Algebras -- References -- Index of Symbols -- Index of Terms
ISBN:9781475701630
Series:eBooks
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Series:Graduate Texts in Mathematics: 88
Keywords: Mathematics , Algebra , Mathematics , Algebra
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Call number:SPRINGER-1980-9783540383857:ONLINE Show nearby items on shelf
Title:Representation Theory I Proceedings of the Workshop on the Present Trends in Representation Theory, Ottawa, Carleton University, August 13 – 18, 1979
Author(s):
Date:1980
Size:1 online resource (376 p.)
Note:10.1007/BFb0089777
Contents:Auslander-Reiten sequences and representation-finite algebras -- Highest weight modules for semisimple Lie algebras -- Report on the Brauer-Thrall conjectures: Rojter's theorem and the theorem of Nazarova and Rojter (on algorithms for
solving vectorspace problems. I) -- Tame algebras (on algorithms for solving vector space problems. II) -- Matrix problems and representations of Bocs's
ISBN:9783540383857
Series:eBooks
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Series:Lecture Notes in Mathematics: 831
Keywords: Mathematics , Algebra , Associative rings , Rings (Algebra) , Mathematics , Algebra , Associative Rings and Algebras
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Call number:SPRINGER-1980-9783540383086:ONLINE Show nearby items on shelf
Title:Fixed Rings of Finite Automorphism Groups of Associative Rings
Author(s): Susan Montgomery
Date:1980
Size:1 online resource (130 p.)
Note:10.1007/BFb0091561
Contents:Preliminaries -- Rings with no |G|-torsion: Existence of fixed elements, the prime radical and Jacobson radical of RG -- Simple rings: Inner and outer automorphisms, simple fixed rings, R as an RG-module -- Inner and outer
automorphisms of semiprime rings -- Rings with no nilpotent elements: Existence of fixed elements and traces -- Chain conditions -- Polynomial identities -- Skew group rings and applications to modules
ISBN:9783540383086
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Series:Lecture Notes in Mathematics: 818
Keywords: Mathematics , Group theory , Mathematics , Group Theory and Generalizations
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Call number:SPRINGER-1979-9783540350071:ONLINE Show nearby items on shelf
Title:Integral Representations Topics in Integral Representation Theory by I. Reiner Integral Representations and Presentations of Finite Groups by K. W. Roggenkamp
Author(s): Irving Reiner
Date:1979
Size:1 online resource (281 p.)
Note:10.1007/BFb0063058
ISBN:9783540350071
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 744
Keywords: Mathematics , Associative rings , Rings (Algebra) , Matrix theory , Algebra , Integral equations , Mathematics , Integral Equations , Associative Rings and Algebras , Linear and Multilinear Algebras, Matrix Theory
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Call number:SPRINGER-1979-9783540348634:ONLINE Show nearby items on shelf
Title:Equational Compactness in Rings With Applications to the Theory of Topological Rings
Author(s): David K Haley
Date:1979
Size:1 online resource (167 p.)
Note:10.1007/BFb0062801
Contents:The model theoretic framework -- Minimum conditions and compactifications -- Rings with the ascending chain condition -- Discriminator varieties and m-rings -- The Mycielski question
ISBN:9783540348634
Series:eBooks
Series:SpringerLink (Online service)
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Series:Lecture Notes in Mathematics: 745
Keywords: Mathematics , Associative rings , Rings (Algebra) , Topology , Mathematics , Topology , Associative Rings and Algebras
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Call number:SPRINGER-1976-9781461394105:ONLINE Show nearby items on shelf
Title:Algebra
Author(s): L. E Sigler
Date:1976
Size:1 online resource (419 p.)
Note:10.1007/978-1-4613-9410-5
Contents:1 Set theory -- 1.1 Sets -- 1.2 Operations on sets -- 1.3 Relations -- 1.4 Quotient sets -- 1.5 Functions -- 1.6 Composition of functions -- 1.7 A factorization of a function -- 1.8 The symmetric group -- 2 Rings: Basic theory -- 2.1
Binary operations -- 2.2 The ring -- 2.3 Special rings -- 2.4 Subrings -- 2.5 Morphisms -- 2.6 Quotient rings -- 2.7 Morphisms and quotient rings -- 2.8 Ideals -- 3 Rings: Natural numbers and integers -- 3.1 The Peano axioms -- 3.2
Addition of natural numbers -- 3.3 Multiplication of natural numbers -- 3.4 Further properties of -- 3.5 Construction of the integers -- 3.6 Embedding ? in the integers -- 3.7 Ordered integral domains -- 3.8 A characterization of the
integers -- 4 Rings: Applications of the integers -- 4.1 Finite sets -- 4.2 Generalized associative, commutative, and distributive theorems -- 4.3 The division algorithm for the integers -- 4.4 Multiples and exponents in a ring -- 4.5
The field of fractions -- 4.6 Characteristic of a ring -- 5 Rings: Polynomials and factorization -- 5.1 The ring of polynomials -- 5.2 A formal definition of a polynomial ring -- 5.3 Polynomial functions -- 5.4 Euclidean and principal
ideal domains -- 5.5 Factorization in principal ideal domains -- 5.6 Greatest common divisor -- 5.7 Unique factorization domains -- 5.8 Field extensions and complex numbers -- 6 Linear algebra: Modules -- 6.1 Function spaces, modules,
and vector spaces -- 6.2 Submodules -- Appendix 6A A method for solution of linear equations -- 6.3 Quotient modules -- 6.4 Morphisms -- 6.5 Products and direct sums -- 6.6 Families and matrices -- 6.7 Bases -- 6.8 The coordinate
morphism -- 6.9 Morphisms and bases, kernel, and range -- 6.10 Vector spaces -- Appendix 6B The existence of a basis for a vector space -- Appendix 6C Equicardinality of infinite bases of a vector space -- Appendix 6D Dimension of a
module over a commutative unitary ring -- 7 Linear algebra: The module of morphisms -- 7.1 ?(M, M?), the module of morphisms -- 7.2 Composition of morphisms, the endomorphism algebra ?(M) -- 7.3 Matrix calculation of morphisms -- 7.4
Change of basis -- 7.5 The dual space -- 7.6 Linear equations -- 7.7 Determinants -- 8 Abstract systems -- 8.1 Algebraic systems -- 8.2 Algebraic subsystems -- 8.3 Morphisms -- 8.4 Congruences and quotient systems -- 8.5 Products and
sums -- 9 Monoids and groups -- 9.1 Monoids, unitary monoids, cancellative monoids, and groups -- 9.2 Congruences and quotient systems -- 9.3 Morphisms -- 9.4 Cyclic groups and order -- 9.5 Products -- 10 Linear algebra: Modules over
principal domains and similarity -- 10.1 Cyclic modules -- 10.2 Invariant factors -- 10.3 Linear equations in a principal domain -- 10.4 A direct sum resolution of a finitely generated module -- 10.5 Similarity and canonical forms --
10.6 The characteristic polynomial and characteristic values -- Selected references -- Answers to questions -- Index of symbols
ISBN:9781461394105
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Keywords: Mathematics , Algebra , Mathematics , Algebra
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Call number:SPRINGER-1971-9783540370819:ONLINE Show nearby items on shelf
Title:Lectures on the Applications of Sheaves to Ring Theory
Author(s):
Date:1971
Size:1 online resource (322 p.)
Note:10.1007/BFb0058562
ISBN:9783540370819
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 248
Keywords: Mathematics , Associative rings , Rings (Algebra) , Mathematics , Associative Rings and Algebras
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Call number:SPRINGER-1951-9781468473018:ONLINE Show nearby items on shelf
Title:Lectures in Abstract Algebra I Basic Concepts
Author(s): Nathan Jacobson
Date:1951
Publisher:New York, NY : Springer New York
Size:1 online resource (217 p.)
Note:10.1007/978-1-4684-7301-8
Contents:Introduction: Concepts from Set Theory the System of Natural Numbers -- 1. Operations on sets -- 2. Product sets, mappings -- 3. Equivalence relations -- 4. The natural numbers -- 5. The system of integers -- 6. The division process in I -- I: Semi- groups and Groups -- 1. Definition and examples of semi-groups -- 2. Non-associative binary compositions -- 3. Generalized associative law. Powers -- 4. Commutativity -- 5. Identities and inverses -- 6. Definition and examples of groups -- 7. Subgroups -- 8. Isomorphism -- 9. Transformation groups -- 10. Realization of a group as a transformation group -- 11. Cyclic groups. Order of an element -- 12. Elementary properties of permutations -- 13. Coset decompositions of a group -- 14. Invariant subgroups an d factor groups -- 15. Homomorphism of groups -- 16. The fundamental theorem of homomorphism for groups -- 17. Endomorphisms, automorphisms, center of a group -- 18. Conjugate classes -- II: Rings, Integral Domains and Fields -- 1.
Definition and examples -- 2. Types of rings -- 3. Quasi-regularity. The circle composition -- 4. Matrix rings -- 5. Quaternions -- 6. Subrings generated by a set of elements. Center -- 7. Ideals, difference rings -- 8. Ideals and difference rings f or the ring of integers -- 9. Homomorphism of rings -- 10. Anti-isomorphism -- 11. Structure of the additive group of a ring. The charateristic of a ring -- 12. Algebra of subgroups of the additive group of a ring. One-sided ideals -- 13. The ring of endo morphisms of a commutative group -- 14. The multiplications of a ring -- III: Extensions of Rings and Fields -- 1. Imbedding of a ring in a ring with an identity -- 2. Field of fractions of a commutative integral domain -- 3. Uniqueness of the field of fr actions -- 4. Polynomial rings -- 5. Structure of polynomial rings -- 6. Properties of the ring U[x] -- 7. Simple extensions of a field -- 8. Structure of any field -- 9. The number of roots of a polynomial in a field -- 10. Polynomials in
several elements -- 11. Symmetric polynomials -- 12. Rings of functions -- IV: Elementary Factorization Theory -- 1. Factors, associates, irreducible elements -- 2. Gaussian semi-groups -- 3. Greatest common divisors -- 4. Principal ideal domains -- 5. Euclidean domains -- 6. Polynomial extensions of Gaussian domains -- V: Groups with Operators -- 1. Definition and examples of groups with operators -- 2. M-subgroups, M-factor groups and M-homomorphisms -- 3. The fundamental theorem of homomorphism f or M-groups -- 4. The correspondence between M-subgroups determined by a homomorphism -- 5. The isomorphism theorems for M-groups -- 6. Schreier’s theorem -- 7. Simple groups and the Jordan-Hölder theorem -- 8. The chain conditions -- 9. Direct product s -- 10. Direct products of subgroups -- 11. Projections -- 12. Decomposition into indecomposable groups -- 13. The Krull-Schmidt theorem -- 14. Infinite direct products -- VI: Modules and Ideals -- 1. Definitions -- 2. Fundamental concepts --
ISBN:9781468473018
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Series:Graduate Texts in Mathematics: 30
Keywords: Mathematics , Algebra , Mathematics , Algebra
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