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Call number: | 9783319419176:ONLINE Show nearby items on shelf |
Title: | An Introduction to the Language of Category Theory |
Author(s): |
Steven Roman |
Date: | 2017 |
Size: | 1 online resource (XII, 169 p. 176 illus., 5 illus. in color p.) |
Contents: | Preface -- Categories -- Functors and Natural Transformations -- Universality -- Cones and Limits -- Adjoints -- References -- Index of Symbols -- Index |
ISBN: | 9783319419176 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Mathematics , Category theory (Mathematics) , Homological algebra , Algebra , Ordered algebraic structures , Mathematics , Category Theory, Homological Algebra , Order, Lattices, Ordered Algebraic Structures , General Algebraic Systems |
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Call number: | SPRINGER-2016-9783319387987:ONLINE Show nearby items on shelf |
Title: | The Congruences of a Finite Lattice A Proof-by-Picture Approach |
Author(s): |
George Grätzer |
Date: | 2016 |
Edition: | 2nd ed. 2016 |
Size: | 1 online resource (346 p.) |
Note: | 10.1007/978-3-319-38798-7 |
ISBN: | 9783319387987 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Algebra , Ordered algebraic structures , Mathematical logic , Number theory , Probabilities , Mathematics , Order, Lattices, Ordered Algebraic Structures , Mathematical Logic and Foundations , Probability Theory and Stochastic Processes , Number Theory |
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Call number: | SPRINGER-2016-9783319297880:ONLINE Show nearby items on shelf |
Title: | Ordered Sets An Introduction with Connections from Combinatorics to Topology |
Author(s): |
Bernd Schröder |
Date: | 2016 |
Edition: | 2nd ed. 2016 |
Size: | 1 online resource (10 p.) |
Note: | 10.1007/978-3-319-29788-0 |
Contents: | Preface -- Basics -- Chains, Antichains, and Fences -- Upper and Lower Bounds -- Retractions -- Constraint Satisfaction Problems -- Graphs and Homomorphisms -- Lexicographic Sums -- Lattices -- Truncated Lattices -- Dimension -- Interval Orders -- Sets P^Q = Hom (Q, P) and Products -- Enumeration of Ordered Sets -- Appendix A: Some Algebraic Topology -- Appendix B: Some Discrete Morse Theory -- References -- Index |
ISBN: | 9783319297880 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Algebra , Ordered algebraic structures , Mathematical logic , Algebraic topology , Combinatorics , Mathematics , Mathematical Logic and Foundations , Order, Lattices, Ordered Algebraic Structures , Combinatorics , Algebraic Topology |
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Call number: | SPRINGER-2008-9780387754505:ONLINE Show nearby items on shelf |
Title: | Graphs, Dioids and Semirings [electronic resource] : New Models and Algorithms |
Author(s): |
Michel Gondran Michel Minoux |
Date: | 2008 |
Publisher: | Boston, MA : Springer US |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The origins of Graph Theory date back to Euler (1736) with the solution of the celebrated 'Koenigsberg Bridges Problem' and to Hamilton with the famous 'Trip around the World' game (1859), stating for the first time a problemwhich, in its most recent version the 'Traveling Salesman Problem' -, is still the subject of active research. Yet, it has been during the last fifty years or sowith the rise of the electronic computersthat Graph theory hasbecome an indispensable discipline in terms of the numbe r and importance of its applications across the Applied Sciences. Graph theory has been especially central to Theoretical and Algorithmic Computer Science, and Automatic Control,Systems Optimization, Economy and Operations Research, Data Analysis in the E ngineering Sciences. Close connections between graphs and algebraic structures have been widely used in the analysis and implementation of efficientalgorithms for many problems, for example: transportation network optimization, telecommunication network o ptimization and planning, optimization in scheduling and production systems, etc. The primary objectives of GRAPHS, DIODS ANDSEMIRINGS: New Models and Algorithms are to emphasize the deep relations existing between the semiring and diod structures with gr aphs and their combinatorial properties, while demonstrating the modeling and problem-solvingcapability and flexibility of these structures. In addition the book provides an extensive overview of the mathematical properties employed by nonclassical algebr aic structures, which either extend usual algebra (i.e., semirings),or correspond to a new branch of algebra (i.e., diods), apart from the classical structures of groups, rings, and fields |
Note: | Springer eBooks |
Contents: | Pre |
Semirings, Semirings and Dioids | |
Combinatorial Properties of (Pre) | |
Semirings | |
Topology on Ordered Sets: Topological Dioids | |
Solving Linear Systems in Dioids | |
Linear Dependence and Independence in Semi | |
Modules and Moduloids | |
Eigenvalues and Eigenvectors of Endomorphisms | |
Dioids and Nonlinear Analysis | |
Collected Examples of Monoids, (Pre) | |
Semirings and Dioids | |
ISBN: | 9780387754505 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Operations Research/Computer Science Interfaces, 1387-666X : v41 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer network architectures , Computational complexity , Combinatorics , Operations research |
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Call number: | SPRINGER-2005-9781846281273:ONLINE Show nearby items on shelf |
Title: | Lattices and Ordered Algebraic Structures [electronic resource] |
Author(s): |
T.S Blyth |
Date: | 2005 |
Publisher: | London : Springer London |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Lattices and Ordered Algebraic Structures provides a lucid and concise introduction to the basic results concerning the notion of an order. Although as a whole it is mainly intended for beginning postgraduates, the prerequisitiesare minimal and selec ted parts can profitably be used to broaden the horizon of the advanced undergraduate. The treatment is modern, with a slant towards recent developments in the theory of residuated lattices and ordered regularsemigroups. Topics covered include: [bulleted list] residuated mappings Galois connections modular, distributive, and complemented lattices Boolean algebras pseudocomplemented lattices Stone algebras Heyting algebras ordered groupslattice-ordered groups representable groups Archimedean ordered struct ures ordered semigroups naturally ordered regular and inverse Dubreil-Jacotin semigroups [end od bulleted list] Featuring material that has been hitherto availableonly in research articles, and an account of the range of applications of the theory, there are also many illustrative examples and numerous exercises throughout, making it ideal for use as a course text, or as a basic introduction tothe field for researchers in mathematics, logic and computer science. T. S. Blyth is Professor Emeritus at St. An drews University, UK |
Note: | Springer eBooks |
Contents: | Ordered sets. residuated mappings |
Lattices lattice morphisms | |
Regular equivalences | |
Modular lattices | |
Distributive lattices | |
Complementation Boolean algebras | |
Pseudocomplementation Stone and Heyting algebras | |
Congruences Subdirectly irreducible algebras | |
Ordered groups | |
Archimedean ordered structures | |
Ordered semigroups residuated semigroups | |
Epimorphic group images Dubreil | |
Jacotin semigroups | |
Ordered regular semigroups | |
Structure theorems | |
References | |
Index | |
ISBN: | 9781846281273 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Universitext |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra |
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Call number: | SPRINGER-2004-9789401705264:ONLINE Show nearby items on shelf |
Title: | Reasoning in Quantum Theory Sharp and Unsharp Quantum Logics |
Author(s): |
M. Dalla Chiara |
Date: | 2004 |
Size: | 1 online resource (298 p.) |
Note: | 10.1007/978-94-017-0526-4 |
Contents: | I Mathematical and Physical Background -- 1. The mathematical scenario of quantum theory and von Neumann’s axiomatization -- 2. Abstract axiomatic foundations of sharp QT -- 3. Back to Hilbert space -- 4. The emergence of fuzzy events |
in Hilbert space quantum theory -- 5. Effect algebras and quantum MV algebras -- 6. Abstract axiomatic foundations of unsharp quantum theory -- 7. To what extent is quantum ambiguity ambiguous? -- II Quantum Logics as Logic -- 8. Sharp | |
quantum logics -- 9. Metalogical properties and anomalies of quantum logic -- 10. An axiomatization of OL and OQL -- 11. The metalogical intractability of orthomodularity -- 12. First-order quantum logics and quantum set theories -- | |
13. Partial classical logic, the Lindenbaum property and the hidden variable problem -- 14. Unsharp quantum logics -- 15. The Brouwer Zadeh logics -- 16. Partial quantum logics and ?ukasiewicz’ quantum logic -- 17. Quantum | |
computational logic -- Conclusions -- Synoptic tables -- Index of Symbols -- Index of Names | |
ISBN: | 9789401705264 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Trends in Logic, Studia Logica Library: 22 |
Keywords: | Mathematics , Philosophy and science , Algebra , Ordered algebraic structures , Mathematical logic , Quantum physics , Mathematics , Order, Lattices, Ordered Algebraic Structures , Quantum Physics , Mathematical Logic and Foundations , Philosophy of Science |
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Call number: | SPRINGER-2004-9783662056790:ONLINE Show nearby items on shelf |
Title: | Alternative Logics. Do Sciences Need Them? |
Author(s): | |
Date: | 2004 |
Size: | 1 online resource (368 p.) |
Note: | 10.1007/978-3-662-05679-0 |
Contents: | I General Topics -- Why Is It Logical to Admit Several Logics? -- Does Metaphysics Need a Non-Classical Logic? -- Logic and the Philosophical Interpretation of Science -- How Set Theory Impinges on Logic -- Geometries and Arithmetics |
-- Remarks on Criteria of Truth and Models in Science -- Significant? Not Significant? The Dilemma of Statistical Induction in Scientific Research -- II Alternative Proposals -- Outline of a Paraconsistent Category Theory -- | |
Combinatory Logic, Language, and Cognitive Representations -- Extending the Realm of Logic: The Adaptive-Logic Programme -- Comments on Jaakko Hintikka’s Post-Tarskian Truth -- III Alternative Logics Motivated by Problems of | |
Application to Science -- Applied Logics for Computer Science -- Stochastic versus Deterministic Features in Learning Models -- Praxic Logics -- Reasons from Science for Limiting Classical Logic -- The Language of Interpretation in | |
Quantum Physics and Its Logic -- Why Objectivist Programs in Quantum Theory Do Not Need an Alternative Logic -- Does Quantum Physics Require a New Logic? -- Experimental Approach to Quantum-Logical Connectives -- From Semantics to | |
Syntax: Quantum Logic of Observables -- An Unsharp Quantum Logic from Quantum Computation -- Quantum Logic and Quantum Probability -- Operator Algebras and Quantum Logic | |
ISBN: | 9783662056790 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Philosophy , Computers , Algebra , Ordered algebraic structures , Quantum physics , Quantum computers , Spintronics , Physics , Quantum Information Technology, Spintronics , Philosophy, general , Theory of Computation , Order, Lattices, Ordered Algebraic Structures , Quantum Physics |
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Call number: | SPRINGER-2003-9789401703390:ONLINE Show nearby items on shelf |
Title: | Exercises in Abelian Group Theory |
Author(s): |
Grigore Călugăreanu |
Date: | 2003 |
Size: | 1 online resource (351 p.) |
Note: | 10.1007/978-94-017-0339-0 |
Contents: | 1 Basic notions -- 2 Divisible groups -- 3 Pure subgroups -- 4 Topological groups -- 5 Algebraically compact groups -- 6 Homological methods -- 7 p-groups -- 8 Torsion-free groups -- 9 Mixed groups -- 10 Subgroup lattices of groups -- |
1 Basic notions -- 2 Divisible groups -- 3 Pure subgroups -- 4 Topological groups -- 5 Algebraically comact groups -- 6 Homological methods -- 7 p-groups -- 8 Torsion-free groups -- 9 Mixed groups -- 10 Subgroup lattices of groups | |
ISBN: | 9789401703390 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Springer Texts in the Mathematical Sciences: 25 |
Keywords: | Mathematics , Category theory (Mathematics) , Homological algebra , Group theory , Algebra , Ordered algebraic structures , Topological groups , Lie groups , Mathematics , Group Theory and Generalizations , Topological Groups, Lie Groups , Category Theory, Homological Algebra , Order, Lattices, Ordered Algebraic Structures |
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Call number: | SPRINGER-2003-9789401702317:ONLINE Show nearby items on shelf |
Title: | Topological and Algebraic Structures in Fuzzy Sets A Handbook of Recent Developments in the Mathematics of Fuzzy Sets |
Author(s): | |
Date: | 2003 |
Size: | 1 online resource (470 p.) |
Note: | 10.1007/978-94-017-0231-7 |
Contents: | 1: Uniform Completion In Pointfree Topology -- 2: Monadic Convergence Structures -- 3: A Unified Approach To The Concept Of Fuzzy L-Uniform Space -- 4: Many Valued Topologies And Borel Probability Measures -- 5: Fuzzy Reals: |
Topological Results Surveyed, Brouwer Fixed Point Theorem, Open Questions -- 6: Lattice-Valued Frames, Functor Categories, And Classes of Sober Spaces -- Appendix to Chapter 6: Weakening The Requirement That L Be A Complete Chain -- 7: | |
Axiomatic Foundations For Uniform Operator Quasi-Uniformities -- 8: Fully Fuzzy Topology -- 9: Fuzzy Logics Arising From Strict De Morgan Systems -- 10: Structure Of Girard Monoids on [0,1] -- 11: On The Geometry Of Choice -- 12: On | |
Some Fuzzy Categories Related To Category L-TOP Of L-Topological Spaces -- 13: Fuzzy Compactness Via Categorical Closure Operators -- 14: Discrete Triangular Norms -- 15: Powerset Operators Based Approach To Fuzzy Topologies On Fuzzy | |
Sets -- 16: Lifting Of Sobriety Concepts With Particular Reference To (L, M)-Topological Spaces -- 17: Examples For Different Sobrieties In Fixed-Basis Topology -- 18: Additive Generators Of Non-Continuous Triangular Norms -- 19: | |
Groups, T-Norms, And Families Of De Morgan Systems | |
ISBN: | 9789401702317 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Trends in Logic, Studia Logica Library: 20 |
Keywords: | Mathematics , Logic , Group theory , Algebra , Ordered algebraic structures , Geometry , Mathematical logic , Mathematics , Mathematical Logic and Foundations , Geometry , Order, Lattices, Ordered Algebraic Structures , Group Theory and Generalizations , Logic |
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Call number: | SPRINGER-2003-9783540393993:ONLINE Show nearby items on shelf |
Title: | Improved Bonferroni Inequalities via Abstract Tubes Inequalities and Identities of Inclusion-Exclusion Type |
Author(s): |
Klaus Dohmen |
Date: | 2003 |
Size: | 1 online resource (122 p.) |
Note: | 10.1007/b13785 |
Contents: | 1. Introduction and Overview -- 2. Preliminaries -- 3.Bonferroni Inequalities via Abstract Tubes -- 4. Abstract Tubes via Closure and Kernel Operators -- 5. Recursive Schemes -- 6. Reliability Applications -- 7. Combinatorial |
Applications and Related Topics -- Bibliography -- Index | |
ISBN: | 9783540393993 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 1826 |
Keywords: | Mathematics , Algebra , Ordered algebraic structures , Probabilities , Combinatorics , Mathematics , Combinatorics , Order, Lattices, Ordered Algebraic Structures , Probability Theory and Stochastic Processes |
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Call number: | SPRINGER-2003-9783034880169:ONLINE Show nearby items on shelf |
Title: | The Problem of Integrable Discretization: Hamiltonian Approach |
Author(s): |
Yuri B Suris |
Date: | 2003 |
Size: | 1 online resource (1070 p.) |
Note: | 10.1007/978-3-0348-8016-9 |
Contents: | I General Theory -- 1 Hamiltonian Mechanics -- 2 R-matrix Hierarchies -- II Lattice Systems -- 3 Toda Lattice -- 4 Volterra Lattice -- 5 Newtonian Equations of the Toda Type -- 6 Relativistic Toda Lattice -- 7 Relativistic Volterra |
Lattice -- 8 Newtonian Equations of the Relativistic Toda Type -- 9 Explicit Discretizations for Toda Systems -- 10 Explicit Discretizations of Newtonian Toda Systems -- 11 Bruschi-Ragnisco Lattice -- 12 Multi-field Toda-like Systems | |
-- 13 Multi-field Relativistic Toda Systems -- 14 Belov-Chaltikian Lattices -- 15 Multi-field Volterra-like Systems -- 16 Multi-field Relativistic Volterra Systems -- 17 Bogoyavlensky Lattices -- 18 Ablowitz-Ladik Hierarchy -- III | |
Systems of Classical Mechanics -- 19 Peakons System -- 20 Standard-like Discretizations -- 21 Lie-algebraic Toda Systems -- 22 Gamier System -- 23 Hénon-Heiles System -- 24 Neumann System -- 25 Lie-algebraic Generalizations of the | |
Gamier Systems -- List of Notations | |
ISBN: | 9783034880169 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Progress in Mathematics : 219 |
Keywords: | Mathematics , Algebra , Ordered algebraic structures , Dynamics , Ergodic theory , Computer mathematics , Physics , Solid state physics , Mathematics , Order, Lattices, Ordered Algebraic Structures , Dynamical Systems and Ergodic Theory , Computational Mathematics and Numerical Analysis , Theoretical, Mathematical and Computational Physics , Numerical and Computational Physics , Solid State Physics |
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Call number: | SPRINGER-2003-9781475737141:ONLINE Show nearby items on shelf |
Title: | Applications of Hyperstructure Theory |
Author(s): |
Piergiulio Corsini |
Date: | 2003 |
Size: | 1 online resource (322 p.) |
Note: | 10.1007/978-1-4757-3714-1 |
Contents: | Basic notions and results on Hyperstructure Theory -- 1 Some topics of Geometry -- 2 Graphs and Hypergraphs -- 3 Binary Relations -- 4 Lattices -- 5 Fuzzy sets and rough sets -- 6 Automata -- 7 Cryptography -- 8 Codes -- 9 Median |
algebras, Relation algebras, C-algebras -- 10 Artificial Intelligence -- 11 Probabilities | |
ISBN: | 9781475737141 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Advances in Mathematics : 5 |
Keywords: | Mathematics , Computer science , Group theory , Algebra , Ordered algebraic structures , Mathematical logic , Combinatorics , Mathematics , Group Theory and Generalizations , Combinatorics , Mathematical Logic and Foundations , Discrete Mathematics in Computer Science , Order, Lattices, Ordered Algebraic Structures |
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Call number: | SPRINGER-2003-9781461200536:ONLINE Show nearby items on shelf |
Title: | Ordered Sets An Introduction |
Author(s): |
Bernd S. W Schröder |
Date: | 2003 |
Size: | 1 online resource (391 p.) |
Note: | 10.1007/978-1-4612-0053-6 |
Contents: | 1 The Basics -- 1.1 Definition and Examples -- 1.2 The Diagram -- 1.3 Order-Preserving Mappings/Isomorphism -- 1.4 Fixed Points -- 1.5 Ordered Subsets/The Reconstruction Problem -- Exercises -- Remarks and Open Problems -- 2 Chains, |
Antichains and Fences -- 2.1 Chains and Zorn’s Lemma -- 2.2 Well-ordered Sets -- 2.3 A Remark on Duality -- 2.4 The Rank of an Element -- 2.5 Antichains and Dilworth’s Chain Decomposition Theorem -- 2.6 Dedekind Numbers -- 2.7 Fences | |
and Crowns -- 2.8 Connectivity -- Exercises -- Remarks and Open Problems -- 3 Upper and Lower Bounds -- 3.1 Extremal Elements -- 3.2 Covers -- 3.3 Lowest Upper and Greatest Lower Bounds -- 3.4 Chain-Completeness and the Abian-Brown | |
Theorem -- Exercises -- Remarks and Open Problems -- 4 Retractions -- 4.1 Definition and Examples -- 4.2 Fixed Point Theorems -- 4.3 Dismantlability -- 4.4 The Fixed Point Property for Ordered Sets of Width 2 or Height 1 -- 4.5 Li and | |
Milner’s Structure Theorem -- 4.6 Isotone Relations -- Exercises -- Remarks and Open Problems -- 5 Lattices -- 5.1 Definition and Examples -- 5.2 Fixed Point Results/The Tarski-Davis Theorem -- 5.3 Embeddings/The Dedekind-MacNeille | |
Completion -- 5.4 Irreducible Points in Lattices -- 5.5 Finite Ordered Sets vs. Distributive Lattices -- 5.6 More on Distributive Lattices -- Exercises -- Remarks and Open Problems -- 6 Truncated Lattices -- 6.1 Definition and Examples | |
-- 6.2 Recognizability and More -- 6.3 The Fixed Clique Property -- 6.4 Triangulations of Sn -- 6.5 Cutsets -- 6.6 Truncated Noncomplemented Lattices -- Exercises -- Remarks and Open Problems -- 7 The Dimension of Ordered Sets -- 7.1 | |
(Linear) Extensions of Orders -- 7.2 Balancing Pairs -- 7.3 Defining the Dimension -- 7.4 Bounds on the Dimension -- 7.5 Ordered Sets of Dimension 2 -- Exercises -- Remarks and Open Problems -- 8 Interval Orders -- 8.1 Definition and | |
Examples -- 8.2 The Fixed Point Property for Interval Orders -- 8.3 Dedekind’s Problem for Interval Orders and Reconstruction -- 8.4 Interval Dimension -- Exercises -- Remarks and Open Problems -- 9 Lexicographic Sums -- 9.1 Definition | |
and Examples -- 9.2 The Canonical Decomposition -- 9.3 Comparability Invariance -- 9.4 Lexicographic Sums and Reconstruction -- 9.5 An Almost Lexicographic Construction -- Exercises -- Remarks and Open Problems -- 10 Sets PQ = Hom(Q, | |
P) and Products -- 10.1 Sets PQ = Hom(Q, P) -- 10.2 Finite Products -- 10.3 Infinite Products -- 10.4 Hashimoto’s Theorem and Automorphisms of Products -- 10.5 Arithmetic of Ordered Sets -- Exercises -- Remarks and Open Problems -- 11 | |
Enumeration -- 11.1 Graded Ordered Sets -- 11.2 The Number of Graded Ordered Sets -- 11.3 The Asymptotic Number of Graded Ordered Sets -- 11.4 The Number of Nonisomorphic Ordered Sets -- 11.5 The Number of Automorphisms -- Exercises -- | |
Remarks and Open Problems -- 12 Algorithmic Aspects -- 12.1 Algorithms -- 12.2 Polynomial Efficiency -- 12.3 NP problems -- 12.4 NP-completeness -- 12.5 So It’s NP-complete -- 12.6 A Polynomial Algorithm for the Fixed Point Property in | |
Graded Ordered Sets of Bounded Width -- Exercises -- Remarks and Open Problems -- A A Primer on Algebraic Topology -- A.l Chain Complexes -- A.2 The Lefschetz Number -- A.3 (Integer) Homology -- A.4 A Homological Reduction Theorem -- | |
Remarks and Open Problems -- B Order vs. Analysis -- B.2 Fixed Point Theorems -- B.3 An Application -- Remarks and Open Problems -- References | |
ISBN: | 9781461200536 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Algebra , Ordered algebraic structures , Mathematical logic , Algebraic topology , Combinatorics , Mathematics , Mathematical Logic and Foundations , Order, Lattices, Ordered Algebraic Structures , Combinatorics , Algebraic Topology |
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Call number: | SPRINGER-2003-9781447100393:ONLINE Show nearby items on shelf |
Title: | Further Algebra and Applications |
Author(s): |
P. M Cohn |
Date: | 2003 |
Size: | 1 online resource (451 p.) |
Note: | 10.1007/978-1-4471-0039-3 |
Contents: | 1. Universal algebra -- 2. Homological algebra -- 3. Further group theory -- 4. Algebras -- 5. Central simple algebras -- 6. Representation theory of finite groups -- 7. Noetherian rings and polynomial identities -- 8. Rings without |
finiteness assumptions -- 9. Skew fields -- 10. Coding theory -- 11. Languages and automata -- List of Notations -- Author Index | |
ISBN: | 9781447100393 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Algebra , Field theory (Physics) , Ordered algebraic structures , Applied mathematics , Engineering mathematics , Mathematics , Algebra , Field Theory and Polynomials , Order, Lattices, Ordered Algebraic Structures , Applications of Mathematics |
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Call number: | SPRINGER-2002-9789401731799:ONLINE Show nearby items on shelf |
Title: | Substructural Logics: A Primer |
Author(s): |
Francesco Paoli |
Date: | 2002 |
Size: | 1 online resource (305 p.) |
Note: | 10.1007/978-94-017-3179-9 |
Contents: | Preface -- Part I: The philosophy of substructural logics. 1. The role of structural rules in sequent calculi -- Part II: The proof theory of substructural logics. 2. Basic proof systems for substructural logics. 3. Cut elimination |
and the decision problem. 4. Other formalisms -- Part III: The algebra of substructural logics. 5. Algebraic structures. 6. Algebraic semantics. 7. Relational semantics -- Appendix A: Basic glossary of algebra and graph theory -- | |
Appendix B: Other substructural logics -- Bibliography -- Index of subjects | |
ISBN: | 9789401731799 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Trends in Logic, Studia Logica Library: 13 |
Keywords: | Philosophy , Logic , Algebra , Ordered algebraic structures , Mathematical logic , Philosophy , Logic , Mathematical Logic and Foundations , Order, Lattices, Ordered Algebraic Structures |
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Call number: | SPRINGER-2002-9789401599641:ONLINE Show nearby items on shelf |
Title: | A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences With Complete Bibliography |
Author(s): |
Kazimierz Głazek |
Date: | 2002 |
Size: | 1 online resource (392 p.) |
Note: | 10.1007/978-94-015-9964-1 |
Contents: | I: Short Guide to the Literature on Semirings -- 1 Preliminaries -- 2 The Algebraic Theory of Semirings -- 3 Linear Algebra Over Semirings -- 4 Ordered Structures and Semirings -- 5 Selected Applications of Semirings -- II: |
Bibliography -- | |
ISBN: | 9789401599641 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Algebra , Group theory , Matrix theory , Mathematics , Algebra , Group Theory and Generalizations , Linear and Multilinear Algebras, Matrix Theory |
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Call number: | SPRINGER-2002-9789401599368:ONLINE Show nearby items on shelf |
Title: | Sheaves, Games, and Model Completions A Categorial Approach to Nonclassical Propositional Logics |
Author(s): |
Silvio Ghilardi |
Date: | 2002 |
Size: | 1 online resource (245 p.) |
Note: | 10.1007/978-94-015-9936-8 |
Contents: | 1. Introduction -- 2. Preliminary Notions -- 3. Model Completions -- 4. Heyting Algebras -- 5. Duality for Modal Algebras -- 6. Model Completions in Modal Logic -- 7. Algebraically Closed Models -- 8. Open Problems -- 9. Appendix -- |
References -- Glossary of Notation | |
ISBN: | 9789401599368 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Trends in Logic, Studia Logica Library: 14 |
Keywords: | Philosophy , Logic , Artificial intelligence , Category theory (Mathematics) , Homological algebra , Algebra , Ordered algebraic structures , Mathematical logic , Philosophy , Logic , Category Theory, Homological Algebra , Order, Lattices, Ordered Algebraic Structures , Mathematical Logic and Foundations , Artificial Intelligence (incl. Robotics) |
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Call number: | SPRINGER-2002-9781475752885:ONLINE Show nearby items on shelf |
Title: | Functional Equations — Results and Advances |
Author(s): | |
Date: | 2002 |
Size: | 1 online resource (361 p.) |
Note: | 10.1007/978-1-4757-5288-5 |
Contents: | I. Classical Functional Equations and Inequalities -- On some trigonometric functional inequalities -- On the continuity of additive—like functions and Jensen convex functions which are Borel on a sphere -- Note on a |
functional—differential inequality -- A characterization of stationary sets for the class of Jensen convex functions -- On the characterization of Weierstrass’s sigma function -- On a Mikusi?ski—Jensen functional equation -- II. | |
Stability of Functional Equations -- Stability of the multiplicative Cauchy equation in ordered fields -- On approximately monomial functions -- Les opérateurs de Hyers -- Geometrical aspects of stability -- III. Functional Equations | |
in One Variable and Iteration Theory -- On semi-conjugacy equation for homeomorphisms of the circle -- A survey of results and open problems on the Schilling equation -- Properties of an operator acting on the space of bounded real | |
functions and certain subspaces -- IV. Composite Functional Equations and Theory of Means -- A Matkowski-Sutô type problem for quasi-arithmetic means of order ? -- An extension theorem for conjugate arithmetic means -- Homogeneous | |
Cauchy mean values -- On invariant generalized Beckenbach-Gini means -- Final part of the answer to a Hilbert’s question -- V. Functional Equations on Algebraic Structures -- A generalization of d’Alembert’s functional equation -- | |
About a remarkable functional equation on some restricted domains -- On discrete spectral synthesis -- Hyers theorem and the cocycle property -- VI. Functional Equations in Functional Analysis -- Mappings whose derivatives are | |
isometries -- Localizable functionals -- Jordan maps on standard operator algebras -- VII. Bisymmetry and Associativity Type Equations on Quasigroups -- On the functional equation S1(x, y) = S2(x, T(N(x), y)) -- Generalized | |
associativity on rectangular quasigroups -- The aggregation equation: solutions with non intersecting partial functions | |
ISBN: | 9781475752885 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Advances in Mathematics : 3 |
Keywords: | Mathematics , Harmonic analysis , Difference equations , Functional equations , Functional analysis , Sequences (Mathematics) , Special functions , Mathematics , Difference and Functional Equations , Sequences, Series, Summability , Functional Analysis , Abstract Harmonic Analysis , Special Functions |
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Call number: | SPRINGER-2002-9781475736274:ONLINE Show nearby items on shelf |
Title: | Ordered Algebraic Structures Proceedings of the Gainesville Conference Sponsored by the University of Florida 28th February — 3rd March, 2001 |
Author(s): | |
Date: | 2002 |
Size: | 1 online resource (322 p.) |
Note: | 10.1007/978-1-4757-3627-4 |
Contents: | The Bornological Tensor Product of two Riesz Spaces -- Old and New Unsolved Problems in Lattice-Ordered Rings -- A Survey of Residuated Lattices -- MV-Algebras and Abelian l-Groups: a Fruitful Interaction -- Hull Classes of |
Archimedean Lattice-Ordered Groups -- Surveying Lattice-Ordered Fields -- Stone’s Real Gelfand Duality in Pointfree Topology -- The Range of Lattice Homomorphisms on f-Algebras -- The Bornological Tensor Product of two Riesz Spaces: | |
Proof and Background Material -- Non-distributive Cancellative Residuated Lattices -- Reconstructing C(G) from a Plenary Subset -- The Undecidability of the Word Problem for Distributive Residuated Lattices -- Least Integer Closed | |
Groups -- Structure Spaces of Maximal l-Ideals of Lattice-Ordered Rings -- Polar Functions I: The Summand-Inducing Hull of an Archimedean l-Group with Unit -- A Priestley-type Method for Generating Free l-Groups -- On the Epimorphic | |
Hull of a Ring of Continuous Functions | |
ISBN: | 9781475736274 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Developments in Mathematics: 7 |
Keywords: | Mathematics , Group theory , Algebra , Ordered algebraic structures , Topology , Mathematics , Order, Lattices, Ordered Algebraic Structures , Group Theory and Generalizations , Topology |
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Call number: | SPRINGER-2002-9781447101796:ONLINE Show nearby items on shelf |
Title: | Elements of Abstract Analysis |
Author(s): |
Mícheál Ó Searcóid |
Date: | 2002 |
Size: | 1 online resource (300 p.) |
Note: | 10.1007/978-1-4471-0179-6 |
Contents: | 1. Sets -- 1.1 Set Theory -- 1.2 Relations and Functions -- 1.3 Ordered Sets -- 1.4 Ordinals -- 1.5 The Axiom of Choice -- 2. Counting -- 2.1 Counting Numbers -- 2.2 Cardinality -- 2.3 Enumeration -- 2.4 Cardinality of Unions and |
Products -- 3. Algebraic Structure -- 3.1 Elementary Algebraic Structures -- 3.2 Vector Spaces -- 3.3 Algebras -- 3.4 Preservation of Algebraic Structure -- 4. Analytic Structure -- 4.1 Ordered Algebraic Structure -- 4.2 Number Systems | |
-- 4.3 Real and Complex Functions -- 4.4 Inequalities -- 5. Linear Structure -- 5.1 Linear Spaces and Algebras -- 5.2 Linear Shapes -- 5.3 Linear Functionals -- 6. Geometric Structure -- 6.1 Semimetrics and Metrics -- 6.2 Seminorms and | |
Norms -- 6.3 Sesquilinear Forms and Inner Products -- 7. Topological Structure -- 7.1 Topologies -- 7.2 Neighbourhoods -- 7.3 Cardinality and Topology -- 7.4 Separation -- 8. Continuity and Openness -- 8.1 Preservation of Topological | |
Structure -- 8.2 Topologies Denned by Functions -- 8.3 Derived Topological Spaces -- 8.4 Topologies on Linear Spaces -- 9. Connectedness -- 9.1 Connected Spaces -- 9.2 Pathwise Connectedness -- 10. Convergence -- 10.1 Filters -- 10.2 | |
Limits -- 11. Compactness -- 11.1 Compact Topological Spaces -- 11.2 Compact Hausdorff Spaces -- 11.3 Local Compactness -- 12. Completeness -- 12.1 Complete Metric Spaces -- 12.2 Banach Spaces -- 12.3 Hilbert Spaces -- 12.4 Banach | |
Algebras -- Solutions | |
ISBN: | 9781447101796 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis |
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Call number: | SPRINGER-2001-9781461220985:ONLINE Show nearby items on shelf |
Title: | Tree Lattices |
Author(s): |
Hyman Bass |
Date: | 2001 |
Size: | 1 online resource (233 p.) |
Note: | 10.1007/978-1-4612-2098-5 |
Contents: | 0 Introduction -- 0.1 Tree lattices -- 0.2 X-lattices and H-lattices -- 0.3 Near simplicity -- 0.4 The structure of tree lattices -- 0.5 Existence of lattices -- 0.6 The structure of A = ?\X -- 0.7 Volumes -- 0.8 Centralizers, |
normalizers, commensurators -- 1 Lattices and Volumes -- 1.1 Haar measure -- 1.2 Lattices and unimodularity -- 1.3 Compact open subgroups -- 1.5 Discrete group covolumes -- 2 Graphs of Groups and Edge-Indexed Graphs -- 2.1 Graphs -- | |
2.2 Morphisms and actions -- 2.3 Graphs of groups -- 2.4 Quotient graphs of groups -- 2.5 Edge-indexed graphs and their groupings -- 2.6 Unimodularity, volumes, bounded denominators -- 3 Tree Lattices -- 3.1 Topology on G = AutX -- 3.2 | |
Tree lattices -- 3.3 The group GH of deck transformations -- 3.5 Discreteness Criterion Rigidity of (A, i) -- 3.6 Unimodularity and volume -- 3.8 Existence of tree lattices -- 3.12 The structure of tree lattices -- 3.14 Non-arithmetic | |
uniform commensurators -- 4 Arbitrary Real Volumes, Cusps, and Homology -- 4.0 Introduction -- 4.1 Grafting -- 4.2 Volumes -- 4.8 Cusps -- 4.9 Geometric parabolic ends -- 4.10 ?-parabolic ends and ?-cusps -- 4.11 Unidirectional | |
examples -- 4.12 A planar example -- 5 Length Functions, Minimality -- 5.1 Hyperbolic length (cf. [B3], II, §6) -- 5.4 Minimality -- 5.14 Abelian actions -- 5.15 Non-abelian actions -- 5.16 Abelian discrete actions -- 6 Centralizers, | |
Normalizers, and Commensurators -- 6.0 Introduction -- 6.1 Notation -- 6.6 Non-minimal centralizers -- 6.9 N/?, for minimal non-abelian actions -- 6.10 Some normal subgroups -- 6.11 The Tits Independence Condition -- 6.13 Remarks -- | |
6.16 Automorphism groups of rooted trees -- 6.17 Automorphism groups of ended trees -- 6.21 Remarks -- 7 Existence of Tree Lattices -- 7.1 Introduction -- 7.2 Open fanning -- 7.5 Multiple open fanning -- 8 Non-Uniform Lattices on | |
Uniform Trees -- 8.1 Carbone’s Theorem -- 8.6 Proof of Theorem (8.2) -- 8.7 Remarks -- 8.8 Examples. Loops and cages -- 8.9 Two vertex graphs -- 9 Parabolic Actions, Lattices, and Trees -- 9.0 Introduction -- 9.1 Ends(X) -- 9.2 | |
Horospheres and horoballs -- 9.3 End stabilizers -- 9.4 Parabolic actions -- 9.5 Parabolic trees -- 9.6 Parabolic lattices -- 9.8 Restriction to horoballs -- 9.9 Parabolic lattices with linear quotient -- 9.10 Parabolic ray lattices -- | |
9.13 Parabolic lattices with all horospheres infinite -- 9.14 A bounded degree example -- 9.15 Tree lattices that are simple groups must be parabolic -- 9.16 Lattices on a product of two trees -- 10 Lattices of Nagao Type -- 10.1 Nagao | |
rays -- 10.2 Nagao’s Theorem: r = PGL2(Fq[t]) -- 10.3 A divisible (q + l)-regular grouping -- 10.4 The PNeumann groupings -- 10.5 The symmetric groupings -- 10.6 Product groupings | |
ISBN: | 9781461220985 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Progress in Mathematics : 176 |
Keywords: | Mathematics , Group theory , Algebra , Ordered algebraic structures , Topological groups , Lie groups , Geometry , Discrete mathematics , Combinatorics , Mathematics , Geometry , Discrete Mathematics , Group Theory and Generalizations , Order, Lattices, Ordered Algebraic Structures , Topological Groups, Lie Groups , Combinatorics |
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Call number: | SPRINGER-2001-9781447102434:ONLINE Show nearby items on shelf |
Title: | Symmetries |
Author(s): |
D. L Johnson |
Date: | 2001 |
Size: | 1 online resource (198 p.) |
Note: | 10.1007/978-1-4471-0243-4 |
Contents: | 1 Metric Spaces and their Groups -- 1.1 Metric Spaces -- 1.2 Isometries -- 1.3 Isometries of the Real Line -- 1.4 Matters Arising -- 1.5 Symmetry Groups -- 2 Isometries of the Plane -- 2.1 Congruent Triangles -- 2.2 Isometries of |
Different Types -- 2.3 The Normal Form Theorem -- 2.4 Conjugation of Isometries -- 3 Some Basic Group Theory -- 3.1 Groups -- 3.2 Subgroups -- 3.3 Factor Groups -- 3.4 Semidirect Products -- 4 Products of Reflections -- 4.1 The Product | |
of Two Reflections -- 4.2 Three Reflections -- 4.3 Four or More -- 5 Generators and Relations -- 5.1 Examples -- 5.2 Semidirect Products Again -- 5.3 Change of Presentation -- 5.4 Triangle Groups -- 5.5 Abelian Groups -- 6 Discrete | |
Subgroups of the Euclidean Group -- 6.1 Leonardo’s Theorem -- 6.2 A Trichotomy -- 6.3 Friezes and Their Groups -- 6.4 The Classification -- 7 Plane Crystallographic Groups: OP Case -- 7.1 The Crystallographic Restriction -- 7.2 The | |
Parameter n -- 7.3 The Choice of b -- 7.4 Conclusion -- 8 Plane Crystallographic Groups: OR Case -- 8.1 A Useful Dichotomy -- 8.2 The Case n = 1 -- 8.3 The Case n = 2 -- 8.4 The Case n = 4 -- 8.5 The Case n = 3 -- 8.6 The Case n = 6 -- | |
9 Tessellations of the Plane -- 9.1 Regular Tessellations -- 9.2 Descendants of (4, 4) -- 9.3 Bricks -- 9.4 Split Bricks -- 9.5 Descendants of (3, 6) -- 10 Tessellations of the Sphere -- 10.1 Spherical Geometry -- 10.2 The Spherical | |
Excess -- 10.3 Tessellations of the Sphere -- 10.4 The Platonic Solids -- 10.5 Symmetry Groups -- 11 Triangle Groups -- 11.1 The Euclidean Case -- 11.2 The Elliptic Case -- 11.3 The Hyperbolic Case -- 11.4 Coxeter Groups -- 12 Regular | |
Polytopes -- 12.1 The Standard Examples -- 12.2 The Exceptional Types in Dimension Four -- 12.3 Three Concepts and a Theorem -- 12.4 Schläfli’s Theorem -- Solutions -- Guide to the Literature -- Index of Notation | |
ISBN: | 9781447102434 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Group theory , Algebra , Ordered algebraic structures , Geometry , Mathematics , Geometry , Group Theory and Generalizations , Order, Lattices, Ordered Algebraic Structures |
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Call number: | SPRINGER-2000-9789401725293:ONLINE Show nearby items on shelf |
Title: | Papers in Honour of Bernhard Banaschewski Proceedings of the BB Fest 96, a Conference Held at the University of Cape Town, 15–20 July 1996, on Category Theory and its Applications to Topology, Order and Algebra |
Author(s): | |
Date: | 2000 |
Size: | 1 online resource (504 p.) |
Note: | 10.1007/978-94-017-2529-3 |
ISBN: | 9789401725293 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Category theory (Mathematics) , Homological algebra , Algebra , Ordered algebraic structures , Geometry , Mathematical logic , Mathematics , Category Theory, Homological Algebra , Geometry , Order, Lattices, Ordered Algebraic Structures , Mathematical Logic and Foundations |
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Call number: | SPRINGER-2000-9789401724227:ONLINE Show nearby items on shelf |
Title: | New Trends in Quantum Structures |
Author(s): |
Anatolij Dvurečenskij |
Date: | 2000 |
Size: | 1 online resource (542 p.) |
Note: | 10.1007/978-94-017-2422-7 |
Contents: | 1 D-posets and Effect Algebras -- 2 MV-algebras and QMV-algebras -- 3 Quotients of Partial Abelian Monoids -- 4 Tensor Product of D-Posets and Effect Algebras -- 5 BCK-algebras -- 6 BCK-algebras in Applications -- 7 Loomis-Sikorski |
Theorems for MV-algebras and BCK-algebras -- Index of Symbols | |
ISBN: | 9789401724227 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematics and Its Applications : 516 |
Keywords: | Mathematics , Algebra , Ordered algebraic structures , Applied mathematics , Engineering mathematics , Mathematical logic , Quantum physics , Mathematics , Order, Lattices, Ordered Algebraic Structures , Applications of Mathematics , Mathematical Logic and Foundations , Quantum Physics |
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Call number: | SPRINGER-2000-9789401712019:ONLINE Show nearby items on shelf |
Title: | Current Research in Operational Quantum Logic Algebras, Categories, Languages |
Author(s): | |
Date: | 2000 |
Size: | 1 online resource (325 p.) |
Note: | 10.1007/978-94-017-1201-9 |
Contents: | Operational quantum logic: An overview -- Algebraic aspects of orthomodular lattices -- Observables in the logico-algebraic approach -- Test spaces and orthoalgebras -- Representations on unigroups -- Free extensions of group actions, |
induced representations, and the foundations of physics -- Short introduction to enriched categories -- Operational Galois adjunctions -- Operational axiomatics and compound systems -- Quantales -- Quantales and observational semantics | |
-- Quantum languages -- Indices -- Concept index -- Citation index | |
ISBN: | 9789401712019 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Fundamental Theories of Physics : 111 |
Keywords: | Physics , Category theory (Mathematics) , Homological algebra , Group theory , Algebra , Ordered algebraic structures , Applied mathematics , Engineering mathematics , Quantum physics , Physics , Quantum Physics , Applications of Mathematics , Order, Lattices, Ordered Algebraic Structures , Category Theory, Homological Algebra , Group Theory and Generalizations |
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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-2000-9789401595407:ONLINE Show nearby items on shelf |
Title: | Triangular Norms |
Author(s): |
Erich Peter Klement |
Date: | 2000 |
Size: | 1 online resource (387 p.) |
Note: | 10.1007/978-94-015-9540-7 |
Contents: | I -- 1. Basic definitions and properties -- 2. Algebraic aspects -- 3. Construction of t-norms -- 4. Families of t-norms -- 5. Representations of t-norms -- 6. Comparison of t-norms -- 7. Values and discretization of t-norms -- 8. |
Convergence of t-norms -- II -- 9. Distribution functions -- 10. Aggregation operators -- 11. Many-valued logics -- 12. Fuzzy set theory -- 13. Applications of fuzzy logic and fuzzy sets -- 14. Generalized measures and integrals -- A. | |
Families of t-norms -- A.1 Aczél-Alsina t-norms -- A.2 Dombi t-norms -- A.3 Frank t-norms -- A.4 Hamacher t-norms -- A.5 Mayor-Torrens t-norms -- A.6 Schweizer-Sklar t-norms -- A.7 Sugeno-Weber t-norms -- A.8 Yager t-norms -- B. | |
Additional t-norms -- B.1 Krause t-norm -- B.2 A family of incomparable t-norms -- Reference material -- List of Figures -- List of Tables -- List of Mathematical Symbols | |
ISBN: | 9789401595407 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Trends in Logic, Studia Logica Library: 8 |
Keywords: | Philosophy , Logic , Algebra , Ordered algebraic structures , Mathematical logic , Philosophy , Logic , Order, Lattices, Ordered Algebraic Structures , Mathematical Logic and Foundations |
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Call number: | SPRINGER-2000-9789401594806:ONLINE Show nearby items on shelf |
Title: | Algebraic Foundations of Many-Valued Reasoning |
Author(s): |
Roberto L. O Cignoli |
Date: | 2000 |
Size: | 1 online resource (233 p.) |
Note: | 10.1007/978-94-015-9480-6 |
Contents: | 1 Basic notions -- 2 Chang completeness theorem -- 3 Free MV-algebras -- 4 ?ukasiewicz ?-valued calculus -- 5 Ulam’s game -- 6 Lattice-theoretical properties -- 7 MV-algebras and ?-groups -- 8 Varieties of MV-algebras -- 9 Advanced |
topics -- 10 Further Readings | |
ISBN: | 9789401594806 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Trends in Logic, Studia Logica Library: 7 |
Keywords: | Mathematics , Logic , Computer science , Artificial intelligence , Algebra , Ordered algebraic structures , Mathematical logic , Mathematics , Mathematical Logic and Foundations , Logic , Order, Lattices, Ordered Algebraic Structures , Discrete Mathematics in Computer Science , Artificial Intelligence (incl. Robotics) |
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Call number: | SPRINGER-2000-9789401140546:ONLINE Show nearby items on shelf |
Title: | The Theory of Classes of Groups |
Author(s): |
Guo Wenbin |
Date: | 2000 |
Size: | 1 online resource (258 p.) |
Note: | 10.1007/978-94-011-4054-6 |
Contents: | 1 Fundamentals of the Theory of Finite Groups -- §1.1 Basic Concepts -- §1.2 Homomorphism Theorems -- §1.3 Primary Groups -- §1.4 Sylow’s Theorems -- §1.5 Automorphism Groups and Semidirect Products -- §1.6 The Jordan-Hölder Theorem |
-- §1.7 Soluble Groups and ?-soluble Groups -- §1.8 Nilpotent Groups and ?-nilpotent Groups -- §1.9 Supersoluble Groups and ?-supersoluble Groups -- §1.10 Some Additional Information -- 2 Classical F-Subgroups -- §2.1 Operations on | |
Classes of Finite Groups -- §2.2 X-covering Subgroups, X-projectors, X-injectors -- §2.3 Theorems about Existence of F-covering Subgroups and F-projectors -- §2.4 The conjugacy of F-covering Subgroups -- §2.5 The Existence amd | |
Conjugacy of F-injectors -- §2.6 .F-normalizers -- §2.7 Some Additional Information -- 3 Formation Structures of Finite Groups -- §3.1 Methods of Constructing Local Formations -- §3.2 The Stability of Formations -- §3.3 On Complements | |
of F-coradicals -- §3.4 Minimal Non-F-groups -- §3.5 Š-formations -- §3.6 Groups with Normalizers of Sylow Subgroups Belonging to a Given Formation -- §3.7 Groups with Normalizers of Sylow Subgroups Complemented -- §3.8 Groups with | |
Normalizers of Sylow Subgroups Having Given Indices -- §3.9 Groups with Given Local Subgroups -- §3.10 F-subnormal Subgroups -- §3.11 Some Additional Information -- 4 Algebra of Formations -- §4.1 Free Groups and Varieties of Groups -- | |
§4.2 Generated Formations -- §4.3 Critical Formations -- §4.4 Local Formations with Complemented Subformations -- §4.5 Some Additional Information -- 5 Supplementary Information on Algebra and Theory of Sets -- §5.1 Partially Ordered | |
Sets and Lattices -- §5.2 Classical Algebras -- §5.3 Modules over Algebras -- Index of Subjects -- List of Symbols | |
ISBN: | 9789401140546 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematics and Its Applications : 505 |
Keywords: | Mathematics , Chemometrics , Group theory , Nonassociative rings , Rings (Algebra) , Algebra , Ordered algebraic structures , Applied mathematics , Engineering mathematics , Mathematical logic , Mathematics , Group Theory and Generalizations , Non-associative Rings and Algebras , Order, Lattices, Ordered Algebraic Structures , Mathematical Logic and Foundations , Applications of Mathematics , Math. Applications in Chemistry |
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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-1999-9789401716529:ONLINE Show nearby items on shelf |
Title: | Fuzzy Sets, Logics and Reasoning about Knowledge |
Author(s): | |
Date: | 1999 |
Size: | 1 online resource (425 p.) |
Note: | 10.1007/978-94-017-1652-9 |
Contents: | Introduction: Bridging the Gap between Multiple-valued Logics, Fuzzy Logic, Uncertain Reasoning and Reasoning about Knowledge -- I: Advances in Mutiple-valued Logics -- The Poincaré Paradox and Non-classical Logics -- Propositional |
Fuzzy Logics based on Frank t-norms: A comparison -- A Resolution-based Axiomatisation of ‘Bold’ Propositional Fuzzy Logic -- How to Make Your Logic Fuzzy: Fibred Semantics and The Weaving of Logics -- Introducing Grade to Some | |
Metalogical Notions -- Closure Operators, Fuzzy Logic and Constraints -- II: Algebraic Aspects of Multiple-valued Logics -- Ulam Game, the Logic of MaxSat, and Many-valued Partitions -- A Many-valued Generalisation of the Ultrapower | |
Construction -- Gabriel Filters and the Spectrum of an MV-Algebra -- Conditional States in Finite-valued Logics -- Conditioning on MV-algebras and Additive Measures—further results -- III: Advances in Approximate Reasoning -- Toward | |
Adequacy Conditions for Inference Schemata in Approximate Reasoning: The Case of the Rule of Syllogism -- Formal Theories in Fuzzy Logic -- A Note on Fuzzy Inference as Deduction -- The Role of Similarity in Fuzzy Reasoning -- | |
T-indistinguishability Operators and Approximate Reasoning via CRI -- About Similarity-based Logical Systems -- On Similarity-based Fuzzy Clusterings -- IV: Reasoning about Information and Knowledge -- Informational Representability: | |
Abstract Models versus Concrete Models -- From Possibilistic Information to Kleene’s Strong Multi-valued Logics -- A Roadmap of Qualitative Independence -- Truth Functionality and Measure-based Logics -- Logic Programs with | |
Context-dependent Preferences -- An Overview of Inconsistency-tolerant Inferences in Prioritized Knowledge Bases | |
ISBN: | 9789401716529 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Applied Logic Series: 15 |
Keywords: | Philosophy , Logic , Artificial intelligence , Algebra , Ordered algebraic structures , Mathematical logic , Discrete mathematics , Philosophy , Logic , Discrete Mathematics , Mathematical Logic and Foundations , Artificial Intelligence (incl. Robotics) , Order, Lattices, Ordered Algebraic Structures |
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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-1999-9781461553137:ONLINE Show nearby items on shelf |
Title: | A Mathematical Structure for Emergent Computation |
Author(s): |
Victor Korotkich |
Date: | 1999 |
Size: | 1 online resource (164 p.) |
Note: | 10.1007/978-1-4615-5313-7 |
ISBN: | 9781461553137 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Nonconvex Optimization and Its Applications: 36 |
Keywords: | Mathematics , Numerical analysis , Algebra , Ordered algebraic structures , Algorithms , Mathematical logic , Mathematical optimization , Mathematics , Order, Lattices, Ordered Algebraic Structures , Mathematical Logic and Foundations , Numeric Computing , Algorithms , Optimization |
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Call number: | SPRINGER-1999-9781461540601:ONLINE Show nearby items on shelf |
Title: | Minimax Under Transportation Constrains |
Author(s): |
Vladimir Tsurkov |
Date: | 1999 |
Size: | 1 online resource (310 p.) |
Note: | 10.1007/978-1-4615-4060-1 |
ISBN: | 9781461540601 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Applied Optimization: 27 |
Keywords: | Mathematics , Algebra , Ordered algebraic structures , Information theory , Convex geometry , Discrete geometry , Mathematical optimization , Combinatorics , Mathematics , Optimization , Combinatorics , Convex and Discrete Geometry , Information and Communication, Circuits , Order, Lattices, Ordered Algebraic Structures |
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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-1998-9789400708525:ONLINE Show nearby items on shelf |
Title: | Advanced Integration Theory |
Author(s): |
Corneliu Constantinescu |
Date: | 1998 |
Size: | 1 online resource (876 p.) |
Note: | 10.1007/978-94-007-0852-5 |
Contents: | Suggestion to the Reader -- 0 Preliminaries -- Vector Lattices -- 1.1 Ordered Vector Spaces -- 1.2 Vector Lattices -- 1.3 Substructures, Quotients, Products -- 1.4 Bands and Orthogonality -- 1.5 Homomorphisms -- 1.6 The Order Dual of |
a Vector Lattice -- 1.7 Continuous Functionals -- 1.8 Order and Topology -- 1.9 Metric Spaces and Banach Spaces -- 1.10 Banach Lattices -- 1.11 Hilbert Lattices -- 1.12 Lattice Products -- Elementary Integration Theory -- 2.1 Riesz | |
Lattices -- 2.2 Daniell Spaces -- 2.3 The Closure of a Daniell Space -- 2.4 The Integral for a Daniell Space -- 2.5 Systems of Sets, Step Functions, and Stone Lattices -- 2.6 Positive Measures -- 2.7 Closure, Completion, and Integrals | |
for Positive Measure Spaces -- 2.8 Measurable Spaces and Measurability -- 2.9 Measurability versus Integrability -- 2.10 Stieltjes Functionals and Stieltjes Measures. Lebesgue Measure -- 3 Lp-Spaces -- 3.1 Classes modulo ?, and | |
Convergence in Measure -- 3.2 The Hölder and Minkowski Inequalities and the Lp-Spaces -- 3.3 Lp-Spaces for 0< p< ? -- 3.4 Uniform integrability and the Generalized Lebesgue Convergence Theorem -- 3.5 Localization -- 3.6 Products and | |
Lp? -- Real Measures -- 4.1 Nullcontinuous Functionals -- 4.2 Real Measures and Spaces of Real Measures -- 4.3 Integrals for Real Measures -- 4.4 Bounded Measures -- 4.5 Atomic and Atomless Measures -- The Radon-Nikodym Theorem. | |
Duality -- 5.1 Absolute Continuity -- 5.2 The Theorem of Radon-Nikodym -- 5.3 Duality for Function Spaces -- 6 The Classical Theory of Real Functions -- 6.1 Functions of Locally Finite Variation -- 6.2 Real Stieltjes Measures -- 6.3 | |
Absolutely Continuous Functions -- 6.4 Vitali?s Covering Theorem -- 6.5 Differentiable Functions -- 6.6 Spaces of Multiply Differentiable Functions -- 6.7 Riemann-Stieltjes Integrals -- Historical Remarks -- Name Index -- Symbol Index | |
ISBN: | 9789400708525 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematics and Its Applications : 454 |
Keywords: | Mathematics , Algebra , Ordered algebraic structures , Integral transforms , Operational calculus , Measure theory , Functions of real variables , Probabilities , Mathematics , Measure and Integration , Order, Lattices, Ordered Algebraic Structures , Real Functions , Probability Theory and Stochastic Processes , Integral Transforms, Operational Calculus |
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Call number: | SPRINGER-1997-9789401734837:ONLINE Show nearby items on shelf |
Title: | The Theory of Partial Algebraic Operations |
Author(s): |
E. S Ljapin |
Date: | 1997 |
Size: | 1 online resource (238 p.) |
Note: | 10.1007/978-94-017-3483-7 |
Contents: | 0 Basic Terminology -- 1 Initial Concepts and Properties -- 2 Homomorphisms -- 3 Divisibility Relations -- 4 Intermediate Associativity -- 5 Semigroup Extensions of Partial Operations -- 6 Partial Groupoids of Transformations -- 7 |
Factorisation of Partial Groupoids | |
ISBN: | 9789401734837 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematics and Its Applications : 414 |
Keywords: | Mathematics , Coding theory , Group theory , Algebra , Ordered algebraic structures , Functional analysis , Mathematical logic , Mathematics , Mathematical Logic and Foundations , Group Theory and Generalizations , Order, Lattices, Ordered Algebraic Structures , Functional Analysis , Coding and Information Theory |
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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-1997-9789401589192:ONLINE Show nearby items on shelf |
Title: | Integral, Measure, and Ordering |
Author(s): |
Beloslav Riečan |
Date: | 1997 |
Size: | 1 online resource (378 p.) |
Note: | 10.1007/978-94-015-8919-2 |
Contents: | 1 Sets and fuzzy sets -- 2 Null sets and small systems -- 3 Measures on ordered spaces -- 4 Subadditive measures -- 5 The Kurzweil integral in ordered spaces -- 6 Quantum logics -- 7 Fuzzy-quantum spaces -- 8 Fuzzy quantum logics -- 9 |
Probability on MV algebras -- 10 The entropy of fuzzy dynamical systems -- 11 Measurability and integrability of multifunctions -- Appendix A D-posets (Ferdinand Chovanec, Frantisek Kôpka) -- A.1 Difference posets -- A.2 Difference | |
lattices -- A.3 Compatibility in D-posets -- A.4 States and observables on D-posets -- A.5 Ideals in D-posets -- Notes and comments -- Appendix B Notes on order convergence and order topology (Hana Kirchheimová, Zdenka Rie?anová) -- | |
B.1 Order convergence of nets and filters in partially ordered sets and their MacNeille completions -- B.2 Order topology and order topological lattices in language of filters and nets -- B.3 Metric modular ortholattices -- Problems -- | |
Notes and comments -- References | |
ISBN: | 9789401589192 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematics and Its Applications : 411 |
Keywords: | Mathematics , Algebra , Ordered algebraic structures , Measure theory , Applied mathematics , Engineering mathematics , Mathematical logic , Probabilities , Mathematics , Measure and Integration , Mathematical Logic and Foundations , Probability Theory and Stochastic Processes , Order, Lattices, Ordered Algebraic Structures , Applications of Mathematics |
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Call number: | SPRINGER-1997-9789401589017:ONLINE Show nearby items on shelf |
Title: | Idempotent Analysis and Its Applications |
Author(s): |
Vassili N Kolokoltsov |
Date: | 1997 |
Size: | 1 online resource (305 p.) |
Note: | 10.1007/978-94-015-8901-7 |
Contents: | 1 Idempotent Analysis -- 2 Analysis of Operators on Idempotent Semimodules -- 3 Generalized Solutions of Bellman’s Differential Equation -- 4 Quantization of the Bellman Equation and Multiplicative Asymptotics -- References -- |
Appendix (Pierre Del Moral). Maslov Optimization Theory. Optimality versus Randomness -- 1 Maslov’s Integration Theory -- 2 Performance Theory -- 3 Lebesgue-Maslov Semirings -- 4 Convergence Modes -- 5 Optimization Processes -- 6 | |
Applications -- 7 Maslov and Markov Processes -- 8 Nonlinear Filtering and Deterministic Optimization -- 9 Monte-Carlo Principles -- 10 Particle Interpretations -- 11 Convergence -- Conclusions -- References | |
ISBN: | 9789401589017 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematics and Its Applications : 401 |
Keywords: | Mathematics , Algebra , Ordered algebraic structures , Partial differential equations , Mathematical optimization , Calculus of variations , Economic theory , Mathematics , Order, Lattices, Ordered Algebraic Structures , Calculus of Variations and Optimal Control Optimization , Optimization , Economic Theory/Quantitative Economics/Mathematical Methods , Partial Differential Equations |
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Call number: | SPRINGER-1997-9789401156400:ONLINE Show nearby items on shelf |
Title: | Ordered Algebraic Structures Proceedings of the Curaçao Conference, sponsored by the Caribbean Mathematics Foundation, June 26–30, 1995 |
Author(s): | |
Date: | 1997 |
Size: | 1 online resource (332 p.) |
Note: | 10.1007/978-94-011-5640-0 |
Contents: | A Survey of f-Rings and some of their Generalizations -- Reflections on the Global Dimensions of Rings of Continuous Functions -- Continuous Ultraproducts -- Actions on Archimedean Lattice-Ordered Groups with Strong Unit -- Pointfree |
Topology and the Spectra of f-Rings -- Commutative Singular f-Rings -- Torsion Classes of Lattice-Ordered Groups with Invariant Radicals -- The Automorphism Groups of Hahn Groups -- The Laterally ?-Complete Reflection of an Archimedean | |
Lattice-Ordered Group -- Ax-Kochen-Ershov Principles for Valued and Ordered Vector Spaces -- Quasi-normal f-Rings -- Rings of Continuous Functions as Real Closed Rings -- On Universal Words for Automorphism Groups of Linear Orders | |
ISBN: | 9789401156400 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Category theory (Mathematics) , Homological algebra , Commutative algebra , Commutative rings , Algebra , Ordered algebraic structures , Mathematical logic , Topology , Mathematics , Order, Lattices, Ordered Algebraic Structures , Topology , Category Theory, Homological Algebra , Commutative Rings and Algebras , Mathematical Logic and Foundations |
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Call number: | SPRINGER-1997-9783642591013:ONLINE Show nearby items on shelf |
Title: | Combinatorial Theory |
Author(s): |
Martin Aigner |
Date: | 1997 |
Size: | 1 online resource (483 p.) |
Note: | 10.1007/978-3-642-59101-3 |
Contents: | Preliminaries -- 1. Sets -- 2. Graphs -- 3. Posets -- 4. Miscellaneous Notation -- I. Mappings -- 1. Classes of Mappings -- 2. Fundamental Orders -- 3. Permutations -- 4. Patterns -- Notes -- II. Lattices -- 1. Distributive Lattices |
-- 2. Modular and Semimodular Lattices -- 3. Geometric Lattices -- 4. The Fundamental Examples -- Notes -- III. Counting Functions -- 1. The Elementary Counting Coefficients -- 2. Recursion and Inversion -- 3. Binomial Sequences -- 4. | |
Order Functions -- Notes -- IV. Incidence Function -- 1. The Incidence Algebra -- 2. Möbius Inversion -- 3. The Möbius Function -- 4. Valuations -- Notes -- V. Generating Functions -- 1. Ordered Structures -- 2. Unordered Structures -- | |
3. G-patterns -- 4. G, H-patterns -- Notes -- VI. Matroids: Introduction -- 1. Fundamental Concepts -- 2. Fundamental Examples -- 3. Construction of Matroids -- 4. Duality and Connectivity -- Notes -- VII. Matroids: Further Theory -- | |
1. Linear Matroids -- 2. Binary Matroids -- 3. Graphic Matroids -- 4. Transversal Matroids -- Notes -- VIII. Combinatorial Order Theory -- 1. Maximum-Minimum Theorems -- 2. Transversal Theorems -- 3. Sperner Theorems -- 4. Ramsey | |
Theorems -- Notes -- List of Symbols | |
ISBN: | 9783642591013 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Algebra , Ordered algebraic structures , Convex geometry , Discrete geometry , Combinatorics , Mathematics , Combinatorics , Convex and Discrete Geometry , Order, Lattices, Ordered Algebraic Structures |
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Call number: | SPRINGER-1996-9789401587518:ONLINE Show nearby items on shelf |
Title: | Semigroups and Their Subsemigroup Lattices |
Author(s): |
Lev N Shevrin |
Date: | 1996 |
Size: | 1 online resource (380 p.) |
Note: | 10.1007/978-94-015-8751-8 |
Contents: | A. Semigroups with Certain Types of Subsemigroup Lattices -- I. Preliminaries -- II. Semigroups with Modular or Semimodular Subsemigroup Lattices -- III. Semigroups with Complementable Subsemigroups -- IV. Finiteness Conditions -- V. |
Inverse Semigroups with Certain Types of Lattices of Inverse Subsemigroups -- VI. Inverse Semigroups with Certain Types of Lattices of Full Inverse Subsemigroups -- B. Properties of Subsemigroup Lattices -- VII. Lattice Characteristics | |
of Classes of Semigroups -- VIII. Embedding Lattices in Subsemigroup Lattices -- C. Lattice Isomorphisms -- IX. Preliminaries on Lattice Isomorphisms -- X. Cancellative Semigroups -- XI. Commutative Semigroups -- XII. Semigroups | |
Decomposable into Rectangular Bands -- XIII. Semigroups Defined by Certain Presentations -- XIV. Inverse Semigroups -- List of Notations -- List of Subsections Containing Unsolved Problems or Open Questions | |
ISBN: | 9789401587518 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematics and Its Applications : 379 |
Keywords: | Mathematics , Group theory , Algebra , Ordered algebraic structures , Mathematical logic , Mathematics , Group Theory and Generalizations , Order, Lattices, Ordered Algebraic Structures , Mathematical Logic and Foundations |
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Call number: | SPRINGER-1996-9783642770302:ONLINE Show nearby items on shelf |
Title: | General Topology II Compactness, Homologies of General Spaces |
Author(s): | |
Date: | 1996 |
Size: | 1 online resource (256 p.) |
Note: | 10.1007/978-3-642-77030-2 |
Contents: | §1. Compactness and Its Different Forms: Separation Axioms -- 1.1. Different Definitions of Compactness -- 1.2. Relative Compactness -- 1.3. Countable Compactness -- 1.4. Relative Countable Compactness -- 1.5. Pseudocompact Spaces -- |
1.6. Separation Axioms and Properties Related to Compactness -- 1.7. Star Characterizations of Countable Compactness and Pseudocompactness -- §2. Compactness and Products -- 2.1. Tikhonov’s Theorem on Compactness of the Product -- 2.2. | |
Products of Countably Compact Spaces -- 2.3. Products of Pseudocompact Spaces -- 2.4. Total Countable Compactness and Total Pseudocompactness -- 2.5. Compactness with Respect to a Fixed Ultrafilter (?-Compactness) -- 2.6. ?-Products of | |
Compact Spaces -- §3. Continuous Mappings of Compact Spaces -- 3.1. Theorem on Compactness of the Image and Its Consequences -- 3.2. Continuous Images of “Standard” Compacta -- 3.3. Open Mappings of Compacta and Dimension -- 3.4. | |
Mardeši?’s Factorization Theorem -- 3.5. Continuous Images of Ordered Compacta -- 3.6. Pseudocompactness and Continuous Mappings -- 3.7. Continuous Mappings and Extremally Disconnected Compacta -- 3.8. Scattered Compacta and Their | |
Images -- §4. Metrizability Conditions for Compact, Countably Compact and Pseudocompact Spaces -- 4.1. Classical Results and the Theorem of Chaber -- 4.2. Theorems of Dow and Tkachenko -- 4.3. Point-countable and ?-Point-finite Bases | |
-- 4.4. Quasi-developments and ??-Bases -- 4.5. Strongly N0-Noetherian Bases -- 4.6. Rank of a Base and Metrizability Conditions for Compacta -- 4.7. Symmetrics and Metrizability of Compacta -- §5. Cardinal Invariants in the Class of | |
Compacta -- 5.1. Network Weight, Diagonal Number and Weight of Compacta -- 5.2. Pseudocharacter and Character in the Class of Compacta -- 5.3. First Countable Compacta -- 5.4. Perfectly Normal Compacta -- 5.5. Continuous Images of | |
First Countable Compacta -- 5.6. Sequential Compacta and the First Axiom of Countability Almost Everywhere -- 5.7. Corson Compact Spaces and N0-Monolithicity -- 5.8. Compacta of Countable Tightness -- 5.9. Mappings of Compacta onto | |
Tikhonov Cubes I? -- 5.10. Dyadic Compacta -- 5.11. Supercompacta and Extensions of the Class of Dyadic Compacta -- §6. Compact Extensions -- 6.1. General Remarks about Compact Extensions -- 6.2. Compact T1-Extensions -- 6.3. Embedding | |
Topological Spaces into Compact T1-Spaces of Countable Weight -- 6.4. Compact Hausdorff Extensions, Relation of Subordination -- 6.5. Compact Extensions of Locally Compact Hausdorff Spaces -- 6.6. Duality Between Properties of a Space | |
and of Its Remainder -- 6.7. Compact Extensions and Cardinal Invariants -- 6.8. Compact Hausdorff Extensions and Perfect Mappings -- 6.9. Properties of the ?ech-Stone Extension -- 6.10. Closing Remarks Concerning Compact Hausdorff | |
Extensions -- §7. Compactness and Spaces of Functions -- 7.1. Natural Topologies on Spaces of Functions -- 7.2. Joint Continuity and Compact-Open Topology -- 7.3. Stone-Weierstrass Theorem -- 7.4. Convex Compact Sets and Krein-Milman | |
Theorem -- 7.5. Theorem of Alaoglu and Convex Hulls of Compacta -- 7.6. Fixed-Point Theorems for Continuous Mappings of Convex Compacta -- 7.7. Milyutin Compact Spaces -- 7.8. Dugundji Compact Spaces -- §8. Algebraic Structures and | |
Compactness — A Review of the Most Important Results -- 8.1. Compacta and Ideals in Rings of Functions -- 8.2. Spectrum of a Ring. Zariski Topology -- 8.3. The Space of Maximal Ideals of a Commutative Banach Algebra -- 8.4. The Stone | |
Space of a Boolean Algebra -- 8.5. Pontryagin’s Duality Theory -- 8.6. Compact Extensions of Topological Groups. Almost Periodic Functions -- 8.7. Compacta and Namioka’s Theorem About Joint Continuity of Separately Continuous Functions | |
-- 8.8. Fragmentable and Strongly Fragmentable Compacta and Radon-Nikodým Compact Spaces -- 8.9. Hilbert Modules over C*-Algebras of Continuous Functions on Compacta -- 8.10. Compact Subsets of Topological Fields -- 8.11. Locally | |
Compact Topological Groups and Paracompactness -- 8.12. Final Remarks -- References | |
ISBN: | 9783642770302 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Encyclopaedia of Mathematical Sciences: 50 |
Keywords: | Mathematics , K-theory , Topological groups , Lie groups , Algebraic topology , Mathematics , Algebraic Topology , Topological Groups, Lie Groups , K-Theory |
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Call number: | SPRINGER-1996-9783540699965:ONLINE Show nearby items on shelf |
Title: | Spaces of Orderings and Abstract Real Spectra |
Author(s): |
Murray A Marshall |
Date: | 1996 |
Size: | 1 online resource (198 p.) |
Note: | 10.1007/BFb0092696 |
Contents: | Orderings on fields -- Spaces of orderings -- Fans and the representation theorem -- P-structures, connected components and 0 the isotropy theorem -- The real spectrum of a ring -- Abstract real spectra -- Minimal generation of |
constructible sets -- Structure results and realization results | |
ISBN: | 9783540699965 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 1636 |
Keywords: | Mathematics , Algebraic geometry , Algebra , Ordered algebraic structures , Mathematics , Algebraic Geometry , Order, Lattices, Ordered Algebraic Structures |
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Call number: | SPRINGER-1996-9783034603348:ONLINE Show nearby items on shelf |
Title: | Cardinal Invariants on Boolean Algebras |
Author(s): |
J. Donald Monk |
Date: | 1996 |
Size: | 1 online resource (301 p.) |
Note: | 10.1007/978-3-0346-0334-8 |
Contents: | Special operations on Boolean algebras -- Special classes of Boolean algebras -- Cellularity -- Depth -- Topological density -- ?-weight -- Length -- Irredundance -- Cardinality -- Independence -- ?-Character -- Tightness -- Spread -- |
Character -- Hereditary Lindelöf degree -- Hereditary density -- Incomparability -- Hereditary cofinality -- Number of ultrafilters -- Number of automorphisms -- Number of endomorphisms -- Number of ideals -- Number of subalgebras -- | |
Other cardinal functions -- Diagrams -- Examples | |
ISBN: | 9783034603348 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Algebra , Ordered algebraic structures , Mathematical logic , Mathematics , Algebra , Mathematical Logic and Foundations , Order, Lattices, Ordered Algebraic Structures |
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Call number: | SPRINGER-1996-9781461334439:ONLINE Show nearby items on shelf |
Title: | Ordered Groups and Infinite Permutation Groups |
Author(s): | |
Date: | 1996 |
Size: | 1 online resource (248 p.) |
Note: | 10.1007/978-1-4613-3443-9 |
Contents: | Quasivarieties and Varieties of Lattice-Ordered Groups -- Lattice-ordered Permutation Groups: The Structure Theory -- On Recovering Structures from Quotients of their Automorphism Groups -- The Automorphism Groups of Generalized |
McLain Groups -- Locally Moving Groups and Reconstruction Problems -- Infinite Jordan Permutation Groups -- The Separation Theorem for Group Actions -- Permutation Groups Whose Subgroups Have Just Finitely Many Orbits -- Automorphisms | |
of Quotients of Symmetric Groups | |
ISBN: | 9781461334439 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematics and Its Applications : 354 |
Keywords: | Mathematics , Group theory , Algebra , Ordered algebraic structures , Mathematics , Group Theory and Generalizations , Order, Lattices, Ordered Algebraic Structures |
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Call number: | SPRINGER-1995-9789401584005:ONLINE Show nearby items on shelf |
Title: | Categorical Structure of Closure Operators With Applications to Topology, Algebra and Discrete Mathematics |
Author(s): |
D Dikranjan |
Date: | 1995 |
Size: | 1 online resource (358 p.) |
Note: | 10.1007/978-94-015-8400-5 |
Contents: | 1. Preliminaries on Subobjects, Images, and Inverse Images -- 2. Basic Properties of Closure Operators -- 3. Examples of Closure Operators -- 4. Operations on Closure Operators -- 5. Closure Operators, Functors, Factorization Systems |
-- 6. Regular Closure Operators -- 7. Subcategories Defined by Closure Operators -- 8. Epimorphisms and Cowellpoweredness -- 9. Dense Maps and Pullback Stability -- Index of Definitions -- Notation Index -- Tables of Results | |
ISBN: | 9789401584005 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematics and Its Applications : 346 |
Keywords: | Mathematics , Algebra , Category theory (Mathematics) , Homological algebra , Group theory , Ordered algebraic structures , Topological groups , Lie groups , Topology , Mathematics , Category Theory, Homological Algebra , Topology , Algebra , Group Theory and Generalizations , Topological Groups, Lie Groups , Order, Lattices, Ordered Algebraic Structures |
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Call number: | SPRINGER-1995-9781461208372:ONLINE Show nearby items on shelf |
Title: | In Search of Infinity |
Author(s): |
N. Ya Vilenkin |
Date: | 1995 |
Size: | 1 online resource (146 p.) |
Note: | 10.1007/978-1-4612-0837-2 |
Contents: | 1. Infinity and the universe -- 2. The mysteries of infinite sets -- 3. Remarkable functions and curves, or a stroll through a mathematical hall of wonders -- 4. In search of the absolute -- Conclusion -- Notees |
ISBN: | 9781461208372 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Algebra , Ordered algebraic structures , Applied mathematics , Engineering mathematics , Mathematical logic , Physics , Astronomy , Astrophysics , Cosmology , Mathematics , Mathematical Logic and Foundations , Order, Lattices, Ordered Algebraic Structures , Mathematical Methods in Physics , Astronomy, Astrophysics and Cosmology , Mathematics, general , Applications of Mathematics |
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Call number: | SPRINGER-1994-9789401583046:ONLINE Show nearby items on shelf |
Title: | The Theory of Lattice-Ordered Groups |
Author(s): |
V. M Kopytov |
Date: | 1994 |
Size: | 1 online resource (400 p.) |
Note: | 10.1007/978-94-015-8304-6 |
Contents: | 1 Lattices -- 2 Lattice-ordered groups -- 3 Convex l-subgroups -- 4 Ordered permutation groups -- 5 Right-ordered groups -- 6 Totally ordered groups -- 7 Embeddings of lattice-ordered groups -- 8 Lattice properties in lattice-ordered |
groups -- 9 Varieties of lattice-ordered groups -- 10 Free l-groups -- 11 The semigroup of l-varieties -- 12 The lattice of l-varieties -- 13 Ordered permutation groups and l-varieties -- 14 Quasivarieties of lattice-ordered groups | |
ISBN: | 9789401583046 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematics and Its Applications : 307 |
Keywords: | Mathematics , Group theory , Algebra , Ordered algebraic structures , Mathematical logic , Mathematics , Order, Lattices, Ordered Algebraic Structures , Group Theory and Generalizations , Mathematical Logic and Foundations |
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Call number: | SPRINGER-1993-9789401706971:ONLINE Show nearby items on shelf |
Title: | Algebras and Orders |
Author(s): | |
Date: | 1993 |
Size: | 1 online resource (558 p.) |
Note: | 10.1007/978-94-017-0697-1 |
Contents: | Partial algebras — an introductory survey -- Duality theory on ten dollars a day -- Algebraic ordered sets and their generalizations -- A Boolean formalization of predicate calculus -- Lectures on free lattices -- A survey of Boolean |
algebras with operators -- Essentially minimal groupoids -- Functional and affine completeness and arithmetical varieties -- Reading, drawing, and order -- Hyperidentities -- Abstract clone theory -- Now Alouette Knows It All | |
ISBN: | 9789401706971 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | NATO ASI Series, Series C: Mathematical and Physical Sciences: 389 |
Keywords: | Mathematics , Computer science , Algebra , Ordered algebraic structures , Mathematical logic , Number theory , Topology , Mathematics , Algebra , Number Theory , Order, Lattices, Ordered Algebraic Structures , Discrete Mathematics in Computer Science , Mathematical Logic and Foundations , Topology |
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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-1993-9789401117234:ONLINE Show nearby items on shelf |
Title: | Ordered Algebraic Structures The 1991 Conrad Conference |
Author(s): | |
Date: | 1993 |
Size: | 1 online resource (256 p.) |
Note: | 10.1007/978-94-011-1723-4 |
Contents: | One: Groups and Vector Spaces -- Isotone Projection Cones -- Torsion Classes of Vector Lattices -- Disjoint Conjugate Chains -- Big Subgroups of Automorphism Groups of Doubly Homogeneous Chains -- Orderable Groups Satisfying an Engel |
Condition -- On Covers in the Lattice of Quasivarieties of 1-Groups -- Two: Rings -- Ordered Rings of Generalized Power Series -- Natural Partial Orders on Division Rings with Involution -- Functorial Rings of Quotients I -- Semiprime | |
f-Rings that are Subdirect Products of Valuation Domains -- Piecewise Polynomial Functions -- Central f-Elements in Lattice-Ordered Algebras -- Archimedean Almost f-Algebras that Arise as Generalized Semigroup Rings -- A | |
Characterization of Local-Global f-Rings | |
ISBN: | 9789401117234 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Algebra , Ordered algebraic structures , Functional analysis , Topology , Mathematics , Order, Lattices, Ordered Algebraic Structures , Topology , Functional Analysis |
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Call number: | SPRINGER-1992-9789401727211:ONLINE Show nearby items on shelf |
Title: | Positive Operators and Semigroups on Banach Lattices Proceedings of a Caribbean Mathematics Foundation Conference 1990 |
Author(s): | |
Date: | 1992 |
Size: | 1 online resource (152 p.) |
Note: | 10.1007/978-94-017-2721-1 |
Contents: | Positive Operators on Krein Spaces -- A Remark on the Representation of Vector Lattices as Spaces of Continuous Real-Valued Functions -- Domination of Uniformly Continuous Semigroups -- Sums and Extensions of Vector Lattice |
Homomorphisms -- Baillon’s Theorem on Maximal Regularity -- Fraction-Dense Algebras and Spaces -- An Alternative Proof of a Radon—Nikodym Theorem for Lattice Homomorphisms -- Some Remarks on Disjointness Preserving Operators -- Weakly | |
Compact Operators and Interpolation -- Aspects of Local Spectral Theory for Positive Operators -- A Wiener—Young Type Theorem for Dual Semigroups -- Krivine’s Theorem and Indices of a Banach Lattice -- Representations of Archimedean | |
Riesz Spaces by Continuous Functions -- Some Aspects of the Spectral Theory of Positive Operators -- Problem Section | |
ISBN: | 9789401727211 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Algebra , Ordered algebraic structures , Functional analysis , Operator theory , Partial differential equations , Mathematics , Operator Theory , Functional Analysis , Partial Differential Equations , Order, Lattices, Ordered Algebraic Structures |
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Call number: | SPRINGER-1992-9789401127165:ONLINE Show nearby items on shelf |
Title: | Approximation Theorems in Commutative Algebra Classical and Categorical Methods |
Author(s): |
J Alajbegović |
Date: | 1992 |
Size: | 1 online resource (330 p.) |
Note: | 10.1007/978-94-011-2716-5 |
Contents: | I Classical Methods -- 1 Approximation Theorems For Valuations On Fields -- 2 Valuations On Commutative Rings -- 3 Ordered Groups And Homomorphisms -- 4 Approximation Theorems For Multi-Structures -- II Categorical Methods -- 5 |
Categorical Logic -- 6 Approximation Theorems In Categories -- Index of Notation | |
ISBN: | 9789401127165 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematics and Its Applications(East European Series): 59 |
Keywords: | Mathematics , Category theory (Mathematics) , Homological algebra , Commutative algebra , Commutative rings , Algebra , Ordered algebraic structures , Mathematics , Commutative Rings and Algebras , Category Theory, Homological Algebra , Order, Lattices, Ordered Algebraic Structures |
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Call number: | SPRINGER-1990-9789400918924:ONLINE Show nearby items on shelf |
Title: | Spectral Theory of Automorphic Functions and Its Applications |
Author(s): |
Alexei B Venkov |
Date: | 1990 |
Size: | 1 online resource (176 p.) |
Note: | 10.1007/978-94-009-1892-4 |
Contents: | 1. Introduction -- 2. What Does One Need Automorphic Functions for? Some Remarks or a Pragmatic Reader -- 3. Harmonic Analysis of Periodic Functions. The Hardy—Vorono? Formula -- 4. Expansion in Eigenfunctions of the Automorphic |
Laplacian on the Lobachevsky Plane -- 5. Harmonic Analysis of Automorphic Functions. Estimates for Fourier Coefficients of Parabolic Forms of Weight Zero -- 6. The Selberg Trace Formula for Fuchsian Groups of the First Kind -- 7. The | |
Theory of the Selberg Zeta-Function -- 8. Problems in the Theory of the Discrete Spectrum of Automorphic Laplacians -- 9. The Spectral Moduli Problem -- 10. Automorphic Functions and the Kummer Problem -- 11. The Selberg Trace Formula | |
on the Reductive Lie Groups -- 12. Automorphic Functions, Representations and L-functions -- 13. Remarks and Comments. Annotations to the Cited Literature -- References -- Appendix 1. Monodromy Groups and Automorphic Functions -- | |
Appendix 2. Automorphic Functions for Effective Solutions of Certain Issues of the Riemann-Hilbert Problem -- Author Index | |
ISBN: | 9789400918924 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematics and Its Applications (Soviet Series): 51 |
Keywords: | Mathematics , Algebra , Ordered algebraic structures , Partial differential equations , Convex geometry , Discrete geometry , Number theory , Mathematics , Number Theory , Order, Lattices, Ordered Algebraic Structures , Convex and Discrete Geometry , Partial Differential Equations |
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Call number: | SPRINGER-1990-9781489926081:ONLINE Show nearby items on shelf |
Title: | Lattices, Semigroups, and Universal Algebra |
Author(s): | |
Date: | 1990 |
Size: | 1 online resource (336 p.) |
Note: | 10.1007/978-1-4899-2608-1 |
Contents: | The Join of the Pseudovariety J with Permutative Pseudovarieties -- On the Combinatorics of Free Algebras -- Some Examples of Distributive Ockham Algebras with De Morgan Skeletons -- Coherent Monoids -- Staircases and a |
Congruence-Theoretical Characterization of Vector Spaces -- Inverse Semigroups of Bicongruences on Algebras, Particularly Semilattices -- Finitely Presented Lattices: Continuity and Semidistributivity -- On the Structure of Partial | |
Automorphism Semigroups -- The Complete Congruence Lattice of a Complete Lattice -- Random Products in Semigroups of Mappings -- Arithmetical Aspects of Semigroup Embeddings -- Semigroup Graded Rings and Jacobson Rings -- Inverse | |
Semigroups and Their Lattices of Inverse Subsemigroups -- Varieties of Algebras with No Nontrivial Finite Members -- The Set of Quasi-Identities of an Algebra -- Relatively Prime Gröbner Bases and Reducibility of S-Polynomials -- | |
Semigroups that are Factorial from Inside or from Outside -- Programs over Finite Semigroups: an Introduction -- Normal Semigroups of Partial Transformations, I -- Residually Small Varieties Revisited -- Semigroup Rings of Completely | |
Regular Semigroups -- The Kernel of an Idempotent Separating Congruence on a Regular Semigroup -- Structural Theorems for Varieties of Bands -- Completely Regular Semigroups -- Survey of Global Semigroup Theory -- Generalized Power | |
Series Rings -- The Degree of Invariancy of a Bicentrally Closed Clone -- Subsemigroups of Free Semigroups -- Amalgamation in Pseudocomplemented Semilattices -- MS-Algebras: a Survey -- An Extension of the Schützenberger Product -- | |
Congruence Lattices of Finite Lattices as Concept Lattices -- Problem Session -- Participants | |
ISBN: | 9781489926081 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Algebra , Group theory , Ordered algebraic structures , Mathematics , Order, Lattices, Ordered Algebraic Structures , Group Theory and Generalizations , General Algebraic Systems |
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Call number: | SPRINGER-1989-9789400924727:ONLINE Show nearby items on shelf |
Title: | Ordered Algebraic Structures Proceedings of the Caribbean Mathematics Foundation Conference on Ordered Algebraic Structures, Curaçao, August 1988 |
Author(s): | |
Date: | 1989 |
Size: | 1 online resource (282 p.) |
Note: | 10.1007/978-94-009-2472-7 |
Contents: | One: Groups -- Lattice-Ordered Groups of Divisibility: An Expository Introduction. -- Universal Aspects of the Theory of Lattice-Ordered Groups. -- Recent Results on the Free Lattice-Ordered Group over a Right-Order able Group. -- |
Non-Amalgamation and Conjugation for ?-Metabelian Lattice-Ordered Groups. -- Periodic Extensions of Ordered Groups. -- The Gate Completion G: of a Lattice-Ordered Permutation Group. -- Telling Left from Right. -- Applications of Spaces | |
with Filters to Archimedean ?-Groups with Weak Unit. -- Prime Ideal and Sikorski Extension Theorems for some ?-Groups. -- Some Applications of Definable Spine Analysis in Ordered Abelian Groups. -- Two: Rings -- Ordered Algebraic | |
Structures in Analysis. -- Rings of Continuous Functions from an Algebraic Point of View. -- On Some Classes of Lattice-Ordered Algebras. -- Primary ?-ideals in a class of f-rings. -- Epimorphisms of f-rings. -- Representation of a | |
Real Polynomial f(X) as a Sum of 2m-th Powers of Rational Functions. -- Partially Ordered *-Division Rings. -- Lattice-Ordered Division Rings Exist. -- Vector-Lattices and a Problem in Geometry. -- Banaschewski Functions and | |
Ring-Embeddings. -- On Orderpotent Rings. -- A Sampling of Open Problems | |
ISBN: | 9789400924727 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematics and Its Applications : 55 |
Keywords: | Mathematics , Group theory , Algebra , Ordered algebraic structures , Functional analysis , Mathematics , Order, Lattices, Ordered Algebraic Structures , Group Theory and Generalizations , Functional Analysis |
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Call number: | SPRINGER-1989-9789400922839:ONLINE Show nearby items on shelf |
Title: | Lattice-Ordered Groups Advances and Techniques |
Author(s): | |
Date: | 1989 |
Size: | 1 online resource (380 p.) |
Note: | 10.1007/978-94-009-2283-9 |
Contents: | 0 Elementary Facts -- 1 Homomorphisms, Prime Subgroups, Values and Structure Theorems -- 2 Lattice-Ordered Permutation Groups -- 3 Model Theory of Abelian l-Groups -- 4 Groups of Divisibility: A Unifying Concept for Integral Domains |
and Partially Ordered Groups -- 5 The Lattice of Convex l-Subgroups of a Lattice-Ordered Group -- 6 Torsion Theory of l-Groups -- 7 Completions of l-Groups -- 8 Characterization of Epimorphisms in Archimedean Lattice-Ordered Groups and | |
Vector Lattices -- 9 Free Lattice-Ordered Groups -- 10 Varieties of Lattice-Ordered Groups Norman -- 11 Free Products in Varieties of Lattice-Ordered Groups -- 12 Amalgamations of Lattice-Ordered Groups -- 13 Generators and Relations | |
in Lattice-Ordered Groups: Decision Problems and Embedding Theorems | |
ISBN: | 9789400922839 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematics and Its Applications : 48 |
Keywords: | Mathematics , Algebra , Ordered algebraic structures , Mathematics , Order, Lattices, Ordered Algebraic Structures , Algebra |
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Call number: | SPRINGER-1988-9783540459590:ONLINE Show nearby items on shelf |
Title: | Group Theoretical Methods in Physics Proceedings of the XVI International Colloquium Held at Varna, Bullgaria, June 15–20, 1987 |
Author(s): | |
Date: | 1988 |
Size: | 1 online resource (599 p.) |
Note: | 10.1007/BFb0012254 |
Contents: | Horospheres and Twistors -- Spectrally ordered Lie algebras -- Algebraic expressions for classes of generalized 6-j and 9-j symbols for certain Lie groups -- Harmonic analysis on coset spaces -- The mapping class group: Homology and |
linearity -- Invariantly ordered spectral lie algebras as abstract dynamical systems -- Realizations of representations of Kac-Moody groups and bilinear equations for ?-functions -- Recent developments in non linear representations and | |
evolution equations -- New constructions for representations of semisimple lie groups -- Nonrelativistic supersymmetry -- Superfield algebraic structures with Grassmann-valued structure constants -- The non-uniqueness of supertrace -- | |
Cohomological methods in supermanifold theory -- Superalgebras of symmetries in superquantum mechanics -- Supersymmetric quantum mechanics and critical potentials -- Constrained lagrangians in N = 2-superspace formulations for the | |
constant magnetic field system -- On some graded algebras -- Self-consistency and supersymmetry in a many fermion system -- Essentially irreducible representations of the lie superalgebras sl(n/1) and sl(n/2) -- Octonions without | |
octonions -- Soliton solutions and bilinear residue formula for the super Kadomtsev-Petviashvili hierarchy -- Indices for plethysms of representations of Lie superalgebras -- Constructions of Lie (super)algebras from triple systems -- | |
Coherent states and quantization on homogeneous spaces -- Relativistic spectrum generating groups: Spectrum and radiative transitions in a collective model for hadrons -- Heisenberg equations of motion for, the Coulomb problem and | |
so(4.2) -- Degenerate representations from quantum kinematical constraints -- Application of non-bijective transformations to various potentials -- Nonuniqueness of the variational formulation of classical equations of motion and | |
quantization rules -- About Quadratic Transformations Connected To Hurwitz Transformations -- Geometric quantization of Riemann ellipsoids -- Group-theoretic approach to scattering: The Dirac-Coulomb problem and relativistic | |
supersymmetry -- On a quantum mechanical d'Alembert principle -- Geometric quantization of the Kepler problem with a magnetic charge -- Lie algebra of a derivative nonlinear Schrödinger equation -- Symmetry and classification of energy | |
bands in crystals -- Dynamical su(8) for phase-coexistence: Thermodynamics of an so(4) × so(4) submodel -- Chain adaptation of space group representations and induced space group Clebsch-Gordan matrices -- Perturbation of bisemigroups | |
and transport theory -- Space group representations induced by local site symmetries -- Quasicrystals: A distanced overview -- The time inversion symmetry in case of time translation existing -- Ergodic properties of hard rod systems | |
-- Reducible space groups -- Colour space groups of all cubic chromomorphic classes and their application -- Auxiliary group approach for group-subgroup related transformation matrices -- A new approach to non-periodic order in solids | |
-- Group theoretical analysis of the lattice distorsion in anisotropic Superconductivity -- The topological theory of semidefects -- Symmetries in nuclei -- Boson representation of Sp(24, R) and classification of even-even nuclei -- | |
Group Theory of the Symplectic Nuclear Model -- The nuclear collective WSp(6,R) model -- Extension of the interacting boson model: Higher order interactions preserving the dynamical symmetry (The 0(6) limit) -- Classical Yang-Mills | |
fields with non-compact invariance -- Cartan connections in conformal gauge theories -- The anomaly-flux-index identity and its Euclidean extension -- Quantization of anomalous gauge theories: The chiral Schwinger model -- QED as a | |
theory of quantized connection forms -- Group-theoretical aspects of dimensional reduction -- Sp(2)-symmetric realization of the ghost spectrum in gauge theories -- The symmetry group of the Euclidean CPn model as the invariance group | |
of two bilinear formst -- On nets of local algebras on the Minkowski lattice Z4 -- Complex scalar fields in SO(2,1)-Invariant backgrounds: Representation of the symmetries in the schrödinger picture -- Conformally invariant wave | |
equations on 3+2 de sitter space -- Massless particles in de sitter space -- Covariant lagrangian formulation of interacting heterotic strings -- A generalization of the fourier transform and applications to quantum field theory -- | |
Harmonic representatives of instantons and self-dual monopoles -- Homogeneous space construction of Modular Invariant QFT models with a chiral U(1) current -- Some solutions of the U(N) sigma models -- Fermions and Jordan matrices -- | |
Algebraic and arithmetic geometry in string theory | |
ISBN: | 9783540459590 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Physics: 313 |
Keywords: | Physics , Topological groups , Lie groups , Quantum physics , Quantum computers , Spintronics , Physics , Mathematical Methods in Physics , Numerical and Computational Physics , Quantum Information Technology, Spintronics , Quantum Physics , Topological Groups, Lie Groups |
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Call number: | SPRINGER-1988-9781461310556:ONLINE Show nearby items on shelf |
Title: | Generalized Functions, Convergence Structures, and Their Applications |
Author(s): | |
Date: | 1988 |
Size: | 1 online resource (464 p.) |
Note: | 10.1007/978-1-4613-1055-6 |
Contents: | Section I. Plenary Lectures -- Nonharmonic solutions of the Laplace equation -- Generalized functions multiplication of distributions applications to elasticity, elastoplasticity, fluid dynamics and acoustics -- Monads and convergence |
-- Simple applications of generalized functions in theoretical physics: the case of many-body perturbation expansions -- Laplace transforms of hyperfunctions: another foundation of the Heaviside operational calculus -- S-asymptotic of | |
distributions -- The Wiener-Hopf equation in the Nevanlinna and Smirnov algebras and ultradistributions -- Section II. Generalized Functions -- On nonlinear systems of ordinary differential equations -- A new construction of continuous | |
endomorphisms of the operator field -- Some comments on the Burzyk-Paley-Wiener theorem for regular operators -- Two theorems on the differentiation of regular convolution quotients -- Values on the topological boundary of tubes -- | |
Abelian theorem for the distributional Stieltjes transformation -- Some results on the neutrix convolution product of distributions -- On generalized transcedental functions and distributional transforms -- An algebraic approach to | |
distribution theories -- Products of Wiener functionals on an abstract Wiener space -- Convolution in K’{Mp}-spaces -- The problem of the jump and the Sokhotski formulas in the space of generalized functions on a segment of the real | |
axis -- A generalized fractional calculus and integral transforms -- On the generalized Meijer transformation -- The construction of regular spaces and hyperspaces with respect to a particular operator -- Operational calculus with | |
derivative ? = S2 -- Solvability of nonlinear operator equations with applications to hyperbolic equations -- Some important results of distribution theory -- Hyperbolic systems with discontinuous coefficients: examples -- Estimations | |
for the solutions of operator linear differential equations -- Invariance of the Cauchy problem for distribution differential equations -- On the space $$\upsilon _{{\text{L}}^{\text{q}} }^{\prime\,^{\left( {{\text{M}}_{\text{p}} } | |
\right)} } $$ , q ? [1, ?] -- Peetre’s theorem and generalized functions -- Infinite dimensional Fock spaces and an associated generalized Laplacian operator -- The n–dimensional Stieltjes transformation -- Colombeau’s generalized | |
functions and non-standard analysis -- One product of distributions -- Abel summability for a distribution sampling theorem -- On the value of a distribution at a point -- Section III. Convergence Structures -- On interchange of limits | |
-- Countability, completeness and the closed graph theorem -- Inductive limits of Riesz spaces -- Convergence completion of partially ordered groups -- Some results from nonlinear analysis in limit vector spaces -- Completions of | |
Cauchy vector spaces -- Regular inductive limits -- Weak convergence in a K-space -- The Banach-Steinhaus theorem for ordered spaces -- Section IV. Open Problems -- Open problems -- Participants | |
ISBN: | 9781461310556 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Computer science , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis , Computer Science, general |
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Call number: | SPRINGER-1988-9781461239444:ONLINE Show nearby items on shelf |
Title: | Graded Orders |
Author(s): |
L. le Bruyn |
Date: | 1988 |
Size: | 1 online resource (208 p.) |
Note: | 10.1007/978-1-4612-3944-4 |
Contents: | I. Commutative Arithmetical Graded Rings -- I.1. Graded Krull Domains -- I.2. Valuations and the structure of Gr-Dedekind Rings -- II. Graded Rings and Orders -- II.1. Graded Rings over Goldie Rings -- II.2. Divisorially Graded Rings |
and Generalized Rees Rings -- II.3. Graded Rings Satisfying Polynomial Identities -- II.4. Orders and Graded Orders -- II.5. Some General Techniques -- III. Arithmetically Graded Rings over Orders -- III.1. Orders Graded by Torsion | |
Free Abelian Groups -- III.2. Orders Graded by Finite Groups -- III.3. Generalized Crossed Product Azumaya Algebras -- III.4. Extensions of Tame Orders and Related Sequences -- IV. Regular Orders -- IV.1. Moderated Gorenstein and | |
Regular Orders -- IV.2. Orders of Finite Representation Type -- IV.3. Regularizable Domains -- IV.4. Smooth Tame Orders -- IV.5. Weak Brauer-Severi Schemes -- V. Two Dimensional Tame and Maximal Orders of Finite Representation Type -- | |
V.1. Introduction -- V.2. Rational Double Points Associated to Two-dimensional Tame Orders of Finite Representation Type -- V.3. Skew Group Rings and Projective Representations Associated to Two-dimensional Tame Orders of Finite | |
Representation Type -- V.4. Classification of Two-dimensional Maximal Orders of Finite Representation Type -- V.5. Appendix: Recent Work of I. Reiten and the Second Author -- References | |
ISBN: | 9781461239444 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Algebra , Ordered algebraic structures , Mathematics , Order, Lattices, Ordered Algebraic Structures |
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Call number: | SPRINGER-1987-9783642730016:ONLINE Show nearby items on shelf |
Title: | The Physics of Structure Formation Theory and Simulation |
Author(s): | |
Date: | 1987 |
Size: | 1 online resource (427 p.) |
Note: | 10.1007/978-3-642-73001-6 |
Contents: | I Disordered Systems, Networks and Patterns -- Neural Networks — Achievements, Prospects, Difficulties -- Pattern Recognition in Nonlinear Neural Networks -- Formation of Ordered Structures in Quenching Experiments: Scaling Theory and |
Simulations -- Patterns in Random Boolean Nets -- The Structure of the Visual Field -- Patterns of Maximal Entropy -- II Structure Formation in Nonlinear Systems -- Patterns of Bifurcation from Spherically Symmetric States -- Structure | |
Formation by Propagating Fronts -- Oscillatory Doubly Diffusive Convection: Theory and Experiment -- Pattern Selection in Anisotropic Systems -- Rayleigh Number Ramps Cause Moving Convection Patterns -- Interactions of Stationary Modes | |
in Systems with Two and Three Spatial Degrees of Freedom -- The Basic (n,2n)-Fold of Steady Axisymmetric Taylor Vortex Flows -- III Interfacial Patterns -- Nonlinear Interactions of Interface Structures of Differing Wavelength in | |
Directional Solidification -- Velocity Selection in Dendritic Growth -- Interfacial Pattern Formation: Dynamical Effects -- IV Diffusion Limited Aggregation and Fractals -- Role of Fluctuations in Fluid Mechanics and Dendritic | |
Solidification -- A Stochastic Model for Arborescent and Dendritic Growth -- Electrodeposition: Pattern Formation and Fractal Growth -- Anisotropy and Fluctuation in Diffusion Limited Aggregation -- The Classes of Fractals -- | |
Structural Characterization of Aluminum Hydroxide Aggregates by S.A.X.S.: Comparison Between Simulations of Fractal Structures and Experiments -- V Chaos and Turbulence -- Spatial Disorder in Extended Systems -- Nonlinear Gravity Waves | |
and Resonant Forcing -- Transitions to Chaos in a Finite Macroscopic System: Direct Numerical Simulations Versus Normal Form Predictions -- Time-Dependent and Chaotic Behaviour in Systems with O(3)-Symmetry -- Selfsimilarity of | |
Developed Turbulence -- VI Bifurcations and Symmetry -- Nonlinear Normal Modes of Symmetric Hamiltonian Systems -- The Ubiquitous Astroid -- On the Hopf Bifurcation with Broken O(2) Symmetry -- Generic Spontaneous Symmetry Breaking in | |
SU(n) — Equivariant Bifurcation Problems -- Computer Algebraic Tools for Applications of Catastrophe Theory -- Computer Algebra Programs for Dynamical Systems Theory -- Index of Contributors | |
ISBN: | 9783642730016 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Springer Series in Synergetics: 37 |
Keywords: | Physics , Fluids , Thermodynamics , Crystallography , Statistical physics , Dynamical systems , Physics , Mathematical Methods in Physics , Numerical and Computational Physics , Fluid- and Aerodynamics , Thermodynamics , Statistical Physics, Dynamical Systems and Complexity , Crystallography |
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Call number: | SPRINGER-1985-9789400953154:ONLINE Show nearby items on shelf |
Title: | Graphs and Order The Role of Graphs in the Theory of Ordered Sets and Its Applications |
Author(s): | |
Date: | 1985 |
Size: | 1 online resource (816 p.) |
Note: | 10.1007/978-94-009-5315-4 |
Contents: | I. Graph Representations -- Comparability graphs -- Algorithmic aspects of comparability graphs and interval graphs -- The diagram -- II. Scheduling, Searching and Sorting -- The information theoretic bound for problems on ordered |
sets and graphs -- Sorting and graphs -- A graph-theoretic approach to the jump-number problem -- Acyclic subdigraphs and linear orderings: polytopes, facets, and a cutting plane algorithm -- III. Extremal Orders -- Parameters of | |
partial orders and graphs: packing, covering and representation -- Graphs and orders in Ramsey theory and in dimension theory -- Ordered ranked posets, representations of integers and inequalities from extremal poset problems -- IV. | |
Social Sciences -- Issues in the theory of uniqueness in measurement -- V. Decomposition -- Path-partitions in directed graphs and posets -- VI. Recursion -- Recursion theoretic aspects of graphs and orders -- VII. Well-Quasi-Ordering | |
-- Basic wqo- and bqo-theory -- Applications of well quasi-ordering and better quasi-ordering -- VIII. Problem Sessions -- Enumeration -- The diagram -- Ramsey theory -- Sorting, scheduling, computing, operations research, and social | |
science -- Structure theories -- Infinite sets and infinite graphs -- Souvenir session -- Order-preserving and edge-preserving maps -- Miscellaneous -- IX. A Bibliography -- X. Index | |
ISBN: | 9789400953154 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | NATO ASI Series, Series C: Mathematical and Physical Sciences: 147 |
Keywords: | Mathematics , Computer science , Algebra , Ordered algebraic structures , Mathematics , Order, Lattices, Ordered Algebraic Structures , Discrete Mathematics in Computer Science |
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Call number: | SPRINGER-1982-9789400977983:ONLINE Show nearby items on shelf |
Title: | Ordered Sets Proceedings of the NATO Advanced Study Institute held at Banff, Canada, August 28 to September 12, 1981 |
Author(s): | |
Date: | 1982 |
Size: | 1 online resource (978 p.) |
Note: | 10.1007/978-94-009-7798-3 |
Contents: | I. Structure and Arithmetic of Ordered Sets -- Arithmetic of ordered sets -- Exponentiation and duality -- The retract construction -- II. Linear Extensions -- Linear extensions of ordered sets -- Dimension theory for ordered sets -- |
Linear extensions of partial orders and the FKG inequality -- III. Set Theory and Recursion -- Order types of real numbers and other uncountable orderings -- On the cofinality of partially ordered sets -- Infinite ordered sets, a | |
recursive perspective -- IV. Lattice Theory -- The role of order in lattice theory -- Some order theoretic questions about free lattices and free modular lattices -- An introduction to the theory of continuous lattices -- Ordered sets | |
in geometry -- Restructuring lattice theory: an approach based on hierarchies of concepts -- V. Enumeration -- Extremal problems in partially ordered sets -- Enumeration in classes of ordered structures -- The Möbius function of a | |
partially ordered set -- An introduction to Cohen-Macaulay partially ordered sets -- VI. Applications of Ordered Sets to Computer Sciences -- Ordered sets and linear programming -- Machine scheduling with precedence constraints -- Some | |
ordered sets in computer science -- VII. Applications of Ordered Sets to Social Sciences -- Ordered sets and social sciences -- Some social science applications of ordered sets -- VIII. Problem Sessions -- Order types -- Combinatorics | |
-- Linear extensions of finite ordered sets -- Scheduling and sorting -- Graphs and enumeration -- Social science and operations research -- Recursion and game theory -- Order-preserving maps -- Lattices -- Miscellaneous -- IX. A | |
Bibliography | |
ISBN: | 9789400977983 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | NATO Advanced Study Institutes Series, Series C — Mathematical and Physical Sciences: 83 |
Keywords: | Computer science , Computer science , Algebra , Ordered algebraic structures , Computer Science , Discrete Mathematics in Computer Science , Order, Lattices, Ordered Algebraic Structures |
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Call number: | SPRINGER-1981-9789400983991:ONLINE Show nearby items on shelf |
Title: | Universal Algebra |
Author(s): |
P. M Cohn |
Date: | 1981 |
Size: | 1 online resource (412 p.) |
Note: | 10.1007/978-94-009-8399-1 |
Contents: | I: Sets and Mappings -- 1. The Axioms of Set Theory -- 2. Correspondences -- 3. Mappings and Quotient Sets -- 4. Ordered Sets -- 5. Cardinals and Ordinals -- 6. Categories and Functors -- II: Algebraic Structures -- 1. Closure Systems |
-- 2. ?-Algebras -- 3. The Isomorphism Theorems -- 4. Lattices -- 5. The Lattice of Subalgebras -- 6. The Lattice of Congruences -- 7. Local and Residual Properties -- 8. The Lattice of Categories of ?-Algebras -- III. Free Algebras -- | |
1. Universal Functors -- 2. ?-Word Algebras -- 3. Clones of Operations -- 4. Representations in Categories of ?-Algebras -- 5. Free Algebras in Categories of ?-Algebras -- 6. Free and Direct Composition of ?-Algebras -- 7. Derived | |
Operators -- 8. Presentations of ?-Algebras -- 9. The Word Problem -- IV. Varieties -- 1. Definition and Basic Properties -- 2. Free Groups and Free Rings -- 3. The Generation of Varieties -- 4. Representations in Varieties of Algebras | |
-- V. Relational Structures and Models -- 1. Relational Structures over a Predicate Domain -- 2. Boolean Algebras -- 3. Derived Predicates -- 4. Closed Sentence Classes and Axiomatic Model Classes -- 5. Ultraproducts and the | |
Compactness Theorem -- 6. The Model Space -- VI. Axiomatic Model Classes -- 1. Reducts and Enlargements -- 2. The Local Determination of Classes -- 3. Elementary Extensions -- 4. p-Closed Classes and Quasivarieties -- 5. Classes | |
Admitting Homomorphic Images -- 6. The Characterization of Axiomatic Model Classes -- VII. Applications -- 1. The Natural Numbers -- 2. Abstract Dependence Relations -- 3. The Division Problem for Semigroups and Rings -- 4. The | |
Division Problem for Groupoids -- 5. Linear Algebras -- 6. Lie Algebras -- 7. Jordan Algebras -- Foreword to the Supplements -- VIII. Category Theory and Universal Algebra -- 1. The Principle of Duality -- 2. Adjoint Pairs of Functors | |
-- 3. Monads -- 4. Algebraic Theories -- IX. Model Theory and Universal Algebra -- 1. Inductive Theories -- 2. Complete Theories and Model Complete Theories -- 3. Model Completions -- 4. The Forcing Companion -- 5. The Model Companion | |
-- 6. Examples -- X. Miscellaneous Further Results -- 1. Subdirect Products and Pullbacks -- 2. The Reduction to Binary Operations -- 3. Invariance of the Rank of Free Algebras -- 4. The Diamond Lemma for Rings -- 5. The Embedding of | |
Rings in Skew Fields -- XI. Algebra and Language Theory -- 1. Introduction -- 2. Grammars -- 3. Machines -- 4. Transductions -- 5. Monoids -- 6. Power Series -- 7. Transformational Grammars -- Bibliography and Name Index -- List of | |
Special Symbols | |
ISBN: | 9789400983991 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematics and Its Applications : 6 |
Keywords: | Mathematics , Algebra , Mathematics , Algebra |
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Call number: | SPRINGER-1981-9783540387558:ONLINE Show nearby items on shelf |
Title: | Continuous Lattices Proceedings of the Conference on Topological and Categorical Aspects of Continuous Lattices (Workshop IV) Held at the University of Bremen, Germany, November 9–11, 1979 |
Author(s): | |
Date: | 1981 |
Size: | 1 online resource (416 p.) |
Note: | 10.1007/BFb0089899 |
Contents: | Coherent frames -- The duality of distributive ?-continuous lattices -- Verfeinerungs- und Kürzungssätze für Produkte geordneter topologischer Räume und für Funktionen (-halb-) verbände -- A completion - invariant extension of the |
concept of continuous lattices -- Scott convergence and scott topology in partially ordered sets II -- Continuous ideal completions and compactifications -- Projective sober spaces -- Continuous posets, prime spectra of completely | |
distributive complete lattices, and Hausdorff compactifications -- Local compactness and continuous lattices -- The spectrum as a functor -- Function spaces in the category of locales -- Scott is not always sober -- Injective toposes | |
-- A motivation and generalization of scott's notion of a continuous lattice -- Propaedeutic to chain-complete posets with basis -- Z-Continuous algebras -- Continuity properties in lattices of topological structures -- Fundamental | |
congruences on Lawson semilattices -- Wadge reducibility and Hausdorff difference hierarchy in P? -- Scott convergence and Scott topology in partially ordered sets I -- Dedekind complete posets and scott topologies -- Algebraic | |
theories of continuous lattices | |
ISBN: | 9783540387558 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 871 |
Keywords: | Mathematics , Topology , Mathematics , Topology |
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Call number: | SPRINGER-1981-9783540385493:ONLINE Show nearby items on shelf |
Title: | Algebra Carbondale 1980 Lie Algebras, Group Theory, and Partially Ordered Algebraic Structures Proceedings of the Southern Illinois Algebra Conference, Carbondale, April 18 and 19, 1980 |
Author(s): | |
Date: | 1981 |
Size: | 1 online resource (300 p.) |
Note: | 10.1007/BFb0090552 |
Contents: | A “new” proof of kaplansky's theorem on simple Lie algebras of rank one -- The classification problem for simple lie algebras of characteristic p -- Representations of certain classical Lie algebras -- A combinatorial theory of |
symmetry and applications to Lie algebras -- Closures of conjugacy classes in classical real linear Lie groups -- Explicit expressions for the generators of the center of the enveloping algebra of real lie algebras and for the algebra | |
of bivariant operators on the group -- Simple lie groups and the legendre symbol -- Polynomial representations of GLn -- An application of the serre conjecture to semisimple algebraic groups -- The blocks of the general linear group | |
GL(n,q) -- A conjugacy theorem for carter subgroups in groups with min-p for all p -- Transversals, S-rings and centraliser rings of groups -- Recent results on finite complete groups -- K-radical classes of lattice ordered groups -- | |
The distinguished completion of a lattice ordered group -- Elementary types of automorphisms of linearly ordered sets—A survey -- Polycyclic right-ordered groups -- Generalized semigroup rings -- The natural partial order on semirings | |
-- Some complete antinormal subgroups of infinite symmetric groups -- Special elements in semiprime rings -- The Hahn embedding theorem: Analysis, refinements, proof | |
ISBN: | 9783540385493 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 848 |
Keywords: | Mathematics , Algebra , Mathematics , Algebra |
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Call number: | SPRINGER-1979-9780387774879:ONLINE Show nearby items on shelf |
Title: | Universal Algebra |
Author(s): |
George Grätzer |
Date: | 1979 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource (583 p.) |
Note: | 10.1007/978-0-387-77487-9 |
Contents: | Basic Concepts -- Subalgebras and Homomorphisms -- Partial Algebras -- Constructions of Algebras -- Free Algebras -- Independence -- Elements of Model Theory -- Elementary Properties of Algebraic Constructions -- Free Structures -- |
Appendix 1. General Survey -- Appendix 2. The Problems -- Appendix 3. Congruence Varieties -- Appendix 4. Equational Logic by Walter Taylor -- Appendix 5. Primality the influence of Boolean Algebras in Universal Algebra -- Appendix 6 | |
Equational Compactness -- Appendix 7 The Independence Proof | |
ISBN: | 9780387774879 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Algebra , Commutative algebra , Commutative rings , Ordered algebraic structures , Mathematics , Algebra , Commutative Rings and Algebras , Order, Lattices, Ordered Algebraic Structures |
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Call number: | SPRINGER-1974-9783540383239:ONLINE Show nearby items on shelf |
Title: | TOPO 72 — General Topology and its Applications Second Pittsburgh International Conference December 18–22, 1972 |
Author(s): | |
Date: | 1974 |
Size: | 1 online resource (656 p.) |
Note: | 10.1007/BFb0068455 |
Contents: | The works of J. de groot -- Topologies induced by banch function spaces -- Some properties involving base axioms and metrizability -- On ?-embedded sets in topological spaces -- Some applications of pointwise collectionwise normality -- Algebraic co mpactness and its relations to topology -- Spaces with a G?-diagonal -- On the theory of Hilbert cube manifolds -- The hyperspace of subcontinua of a peano continuum -- On Stone-Weierstrass spaces -- Coincidence of small and large inductive dimension -- B asic refinements of the category of uniform spaces -- Sequential spaces and quasi-perfect mappings -- Expansions of mappings -- Vector lattices of uniformly continuous functions and some categorical methods in uniform spaces -- Metrization of closed image s of metric spaces -- Representation of spaces -- Some remarks on extension theorems in monotonically normal spaces -- A dozen small uncountable cardinals -- Limit-operators and reflective subcategories -- On perfect images of ordinals -- |
Shape theory and topological groups -- On countably paracompact spaces -- A universal one-dimensional metric space -- Ordinals and paracompactness in ordered spaces -- Another inductive dimension -- Regular maps and metrization -- Special bases for topological spaces -- A characterization of compact scattered spaces through chain limits (chain compact spaces) -- Recent results on E-compact spaces -- Recent developments of general topology in Japan -- Some recent developments on repletions and stone- ?ech compactifications of O-dimensional spaces -- Development classes: An approach to perfectness, reflectiveness and extension problems -- An axiomatic characterization of covering dimension in metrizable spaces -- The p-adic topology on Abelian groups - - On completeness conditions and the baire property in moore spaces -- Adequacy in topology and uniform spaces -- Complete uniform spaces -- Very flat spaces of continuous functions -- Inverse limits and near-homeomorphism techniques in | |
hyperspace problems -- A simple topological proof that the underlying set functor for compact spaces is monadic -- Note on a problem of Katetov -- A 3-dimensional absolute retract -- On the theorem of Morita and Hanai, and Stone -- Some recent resul ts on expandable spaces -- On characterizations of perfect morphisms and epireflective hulls -- P-points in ?N-N, normal non-metrizable moore spaces, and other problems of hausdorff -- Strong O-dimensionality of certain n-compact spaces -- Free topologica l groups -- Extensions of integer-valued maps and N-compact spaces -- Some recent results in the theory of [a,b]-compactness -- Topological spaces that are ?-favorable for a player with perfect information -- Completeness and topologically uniformizing st ructures -- A technique for reducing certain covers on certain L.O.T.S. and their products -- Filter space monads, regularity, completions -- Directed ?-structures and ?-compact spaces -- On covering and countable covering conditions | |
ISBN: | 9783540383239 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 378 |
Keywords: | Mathematics , Topology , Algebraic topology , Mathematics , Algebraic Topology , Topology |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
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