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SPIRES-BOOKS: FIND KEYWORD CATEGORY THEORY,HOMOLOGICAL ALGEBRA *END*INIT* use /tmp/qspiwww.webspi1/8474.23 QRY 131.225.70.96 . find keyword category theory,homological algebra ( in books using www Cover
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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-2016-9784431560562:ONLINE Show nearby items on shelf
Title:Structural Analysis of Metallic Glasses with Computational Homology
Author(s): Akihiko Hirata
Date:2016
Size:1 online resource (7 p.)
Note:10.1007/978-4-431-56056-2
Contents:1. Introduction -- 2. Metallic glasses -- 2.1. What is glass? -- 2-2. Structure and properties of metallic glasses -- 2-3. Structure determination and its difficulty -- 3. Homology and computational homology -- 3.1. Cubical complex -- 3.2. Cubical homology -- 3.3. Computing homology groups -- 4. Structure analysis of metallic glasses -- 4.1. Advantage of computational homology -- 4.2. Preparation of input data for metallic glasses -- 4.3. Computing procedure for metallic glasses -- 4.4. Interpretat ion of results obtained by computational homology -- 5. Appendix
ISBN:9784431560562
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:SpringerBriefs in the Mathematics of Materials: 2
Keywords: Mathematics , Chemometrics , Category theory (Mathematics) , Homological algebra , Mathematical physics , Mathematics , Mathematical Applications in the Physical Sciences , Category Theory, Homological Algebra , Math. Applications in Chemistry
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Call number:SPRINGER-2016-9783662493618:ONLINE Show nearby items on shelf
Title:Topologie algébrique Chapitres 1 à 4
Author(s): N Bourbaki
Date:2016
Size:1 online resource (498 p.)
Note:10.1007/978-3-662-49361-8
Contents:Mode d'Emploi -- Introduction -- Chapitre I. Revêtements -- 1. Produits fibrés et carrés cartésiens -- 2. Applications étales -- 3. Faisceaux -- 4. Revêtements -- 5. Revêtements principaux -- 6. Espaces simplement connexes -- Exercices -- Ch apitre II. Groupoïdes -- 1. Carquois -- 2. Graphes -- 3. Groupoïdes -- 4. Homotopies -- 5. Coégalisateur -- Exercices -- Chapitre III. Homotopie et Groupoïdes de Poincaré -- 1. Homotopies, homéotopies -- 2. Homotopie et chemins -- 3. Groupoïde de P oincaré -- 4. Homotopie et revêtements -- 5. Homotopie et revêtements (cas des espaces localement connexes par arcs) -- Exercices -- Chapitre IV. Espaces Delaçables -- 1. Espaces délaçables -- 2. Groupes de Poincaré des espaces délaçables -- 3. G roupes de Poincaré des groupes topologiques -- 4. Théorie de la descente -- 5. Théorème de van Kampen -- 6. Espaces classifiants -- Exercices -- Index des notations -- Index terminologique
ISBN:9783662493618
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , Group theory , Algebraic topology , Manifolds (Mathematics) , Complex manifolds , Mathematics , Algebraic Topology , Category Theory, Homological Algebra , Manifolds and Cell Complexes (incl. Diff.Topology) , Group Theory and Generalizations
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Call number:SPRINGER-2016-9783658106331:ONLINE Show nearby items on shelf
Title:Manifolds, Sheaves, and Cohomology
Author(s): Torsten Wedhorn
Date:2016
Size:1 online resource (354 p.)
Note:10.1007/978-3-658-10633-1
Contents:Topological Preliminaries -- Algebraic Topological Preliminaries -- Sheaves -- Manifolds -- Local Theory of Manifolds -- Lie Groups -- Torsors and Non-abelian Cech Cohomology -- Bundles -- Soft Sheaves -- Cohomology of Complexes of Sheaves -- Cohom ology of Sheaves of Locally Constant Functions -- Appendix: Basic Topology, The Language of Categories, Basic Algebra, Homological Algebra, Local Analysis
ISBN:9783658106331
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , Topological groups , Lie groups , Global analysis (Mathematics) , Manifolds (Mathematics) , Differential geometry , Mathematics , Category Theory, Homological Algebra , Topological Groups, Lie Groups , Differential Geometry , Global Analysis and Analysis on Manifolds
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Call number:SPRINGER-2016-9783319264370:ONLINE Show nearby items on shelf
Title:Minimal Free Resolutions over Complete Intersections
Author(s): David Eisenbud
Date:2016
Edition:1st ed. 2016
Size:1 online resource (107 p.)
Note:10.1007/978-3-319-26437-0
ISBN:9783319264370
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 2152
Keywords: Mathematics , Algebraic geometry , Category theory (Mathematics) , Homological algebra , Commutative algebra , Commutative rings , Physics , Mathematics , Commutative Rings and Algebras , Algebraic Geometry , Category Theory, Homological Algebra , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-2016-9783319234885:ONLINE Show nearby items on shelf
Title:Homotopical Topology
Author(s): Anatoly Fomenko
Date:2016
Edition:2nd ed. 2016
Size:1 online resource (627 p.)
Note:10.1007/978-3-319-23488-5
Contents:Introduction -- Homotopy -- Homology -- Spectral Sequences of Fibrations -- Cohomology Operations -- The Adams Spectral Sequence -- K-Theory and Other Extraordinary Cohomology Theories
ISBN:9783319234885
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Graduate Texts in Mathematics: 273
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , K-theory , Algebraic topology , Mathematics , Category Theory, Homological Algebra , K-Theory , Algebraic Topology
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Call number:SPRINGER-2014-9788132215998:ONLINE Show nearby items on shelf
Title:Basic Modern Algebra with Applications [electronic resource]
Author(s): Mahima Ranjan Adhikari
Avishek Adhikari
Date:2014
Publisher:New Delhi : Springer India : Imprint: Springer
Size:1 online resource
Note:The book is primarily intended as a textbook on modern algebra for undergraduate mathematics students. It is also useful for those who are interested in supplementary reading at a higher level. The text is designed in such a waythat it encourages ind ependent thinking and motivates students towards further study. The book covers all major topics in group, ring, vector space and module theory that are usually contained in a standard modern algebra text. Inaddition, it studies semigroup, group action, Hopf's group, topological groups and Lie groups with their actions, applications of ring theory to algebraic geometry, and defines Zariski topology, as well as applications of module theoryto structure theory of rings and homological algebra. Algebraic as pects of classical number theory and algebraic number theory are also discussed with an eye to developing modern cryptography. Topics on applications to algebraictopology, category theory, algebraic geometry, algebraic number theory, cryptography and theo retical computer science interlink the subject with different areas. Each chapter discusses individual topics, starting from the basics, withthe help of illustrative examples. This comprehensive text with a broad variety of concepts, applications, example s, exercises and historical notes represents a valuable and unique resource
Contents:Prerequisites: Basics of Set Theory and Integers
Groups: Introductory Concepts
Actions of Groups, Topological Groups and semigroups
Rings: Introductory Concepts
Ideals of Rings: Introductory concepts
Factorization in Integral Domains and in Polynomial Rings
Rings with Chain Conditions
Vector Spaces
Modules
Algebraic Aspects of Number Theory
Algebraic Numbers
Introduction to Mathematical Cryptography
Appendix A: Some Aspects of Semirings
Appendix B: Category Theory
Appendix C: A Brief Historical Note
ISBN:9788132215998
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Group theory , Number theory
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Call number:SPRINGER-2014-9783319029528:ONLINE Show nearby items on shelf
Title:Advances in Lie Superalgebras [electronic resource]
Author(s): Maria Gorelik
Paolo Papi
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The volume is the outcome of the conference Lie superalgebras, which was held at the Istituto Nazionale di Alta Matematica, in 2012. The conference gathered many specialists in the subject, and the talks held providedcomprehensive insights into the n ewest trends in research on Lie superalgebras (and related topics like vertex algebras, representation theory and supergeometry). The book contains contributions of many leading esperts in the field andprovides a complete account of the newest trends in r esearch on Lie Superalgebras
Contents:1 A. Alldridge, Z. Shaikh: Superbosonisation, Riesz superdistributions, and highest weight modules
2 K. Coulembier: Homological algebra for osp(1|2n)
3 A. DAndrea: Finiteness and orbifold vertex operator algebras
4 A. De Sole: On classical finite and affine W
algebras
5 M. Gorelik, D. Grantcharov: Q
type Lie superalgebras
6 C. Hoyt: Weight modules for the Lie superalgebra D(2,1,a)
7 R. Fioresi, S. Kwok: On SUSY curves
8 V. G. Kac, P. Moseneder Frajria, P. Papi: Dirac operators and the Very Strange Formula for Lie superalgebras
9 V. Mazorchuk: Parabolic category O fo
ISBN:9783319029528
Series:eBooks
Series:SpringerLink
Series:Springer INdAM Series, 2281-518X : v7
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Topology
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Call number:SPRINGER-2012-9783642227165:ONLINE Show nearby items on shelf
Title:The Schringer-Virasoro Algebra [electronic resource]
Author(s): Jie Unterberger
Claude Roger
Date:2012
Publisher:Springer Berlin Heidelberg
Size:1 online resource
Note:Monograph
Note:Springer 2012 Physics and Astronomy eBook collection
Note:Springer e-book platform
ISBN:9783642227165
Series:Texts and Monographs in Physics
Series:e-books
Keywords: Mathematical Methods in Physics , Topological Groups, Lie Groups , Mathematical Physics , Category Theory, Homological Algebra , Statistical Physics, Dynamical Systems and Complexity
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Call number:SPRINGER-2012-9783642192258:ONLINE Show nearby items on shelf
Title:A Royal Road to Algebraic Geometry [electronic resource]
Author(s): Audun Holme
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book is about modern algebraic geometry. The title A Royal Road to Algebraic Geometry is inspired by the famous anecdote about the king asking Euclid if there really existed no simpler way for learning geometry, than to readall of his work Eleme nts. Euclid is said to have answered: There is no royal road to geometry! The book starts by explaining this enigmatic answer, the aim of the book being to argue that indeed, in some sense there is a royalroad to algebraic geometry. From a point of depart ure in algebraic curves, the exposition moves on to the present shape of the field, culminating with Alexander Grothendiecks theory of schemes. Contemporary homological tools areexplained. The reader will follow a directed path leading up to the main elem ents of modern algebraic geometry. When the road is completed, the reader is empowered to start navigating in this immense field, and to open up the door to awonderful field of research. The greatest scientific experience of a lifetime!
Note:Springer eBooks
Contents:Part I Curves: 1 Affine and Projective Space
2 Curves in A2 k and in P2
3 Higher Geometry in the Projective Plane
4 Plane Curves and Algebra
5 Projective Varieties in PNk
Part II Introduction to Grothendiecks Theory of Schemes: 6 Categories and Functors
7 Constructions and Representable Functors
8 Abelian Categories
9 The Concept of Spec(A)
10 The Category of Schemes
11 Properties of Morphisms of Schemes
12 Modules, Algebras and Bundles on a Scheme
13 More Properties of Morphisms, Scheme Theoretic Image and the Sorite
14 Projective Schemes and Bu
ISBN:9783642192258
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Algebra , Geometry , Algebraic topology
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Call number:SPRINGER-2012-9781447122944:ONLINE Show nearby items on shelf
Title:Syzygies and Homotopy Theory [electronic resource]
Author(s): F.E.A Johnson
Date:2012
Publisher:London : Springer London
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The most important invariant of a topological space is its fundamental group. When this is trivial, the resulting homotopy theory is well researched and familiar. In the general case, however, homotopy theory over nontrivialfundamental groups is much more problematic and far less well understood. Syzygies and Homotopy Theory explores the problem of nonsimply connected homotopy in the first nontrivial cases and presents, for the first time, a systematicrehabilitation of Hilbert's method of syzygies in the context of non-simply connected homotopy theory. The first part of the book is theoretical, formulated to allow a general finitely presented group as a fundamental group. Theinnovation here is to regard syzygies as stable modules rather than minimal modules. Inevitably this forces a reconsideration of the problems of noncancellation these are confronted in the second, practical, part of the book. Inparticular, the second part of the book considers how the theory works out in detail for the specific e xamples Fn F where Fn is a free group of rank n and F is finite. Another innovation is to parametrize the first syzygy in terms ofthe more familiar class of stably free modules. Furthermore, detailed description of these stably free modules is effected by a suitable modification of the method of Milnor squares. The theory developed within this book has potentialapplications in various branches of algebra, including homological algebra, ring theory and K-theory. Syzygies and Homotopy Theory will be of inte rest to researchers and also to graduate students with a background in algebra andalgebraic topology
Note:Springer eBooks
Contents:Preliminaries
The restricted linear group
The calculus of corners and squares
Extensions of modules
The derived module category
Finiteness conditions
The Swan mapping
Classification of algebraic complexes
Rings with stably free cancellation
Group rings of cyclic groups
Group rings of dihedral groups
Group rings of quaternionic groups
Parametrizing W1 (Z) : generic case
Parametrizing W1 (Z) : singular case
Generalized Swan modules
Parametrizing W1 (Z) : G = C F
Conclusion
ISBN:9781447122944
Series:e-books
Series:SpringerLink (Online service)
Series:Algebra and Applications, 1572-5553 : v17
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Group theory
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Call number:SPRINGER-2011-9783642109799:ONLINE Show nearby items on shelf
Title:Categories and Commutative Algebra [electronic resource]
Author(s): P Salmon
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:L. Badescu: Sur certaines singularits des varits algbriques.- D.A. Buchsbaum: Homological and commutative algebra.- S. Greco: Anelli Henseliani.- C. Lair: Morphismes et structures algbriques.- B.A. Mitchell:Introduction to category theory and homolog ical algebra.- R. Rivet: Anneaux de sries formelles et anneaux henseliens.- P. Salmon: Applicazioni della K-teoria allalgebra commutativa.- M. Tierney: Axiomatic sheaf theory: someconstructions and applications.- C.B. Winters: An elementary lecture on alg ebraic spaces
Note:Springer eBooks
Contents:L. Badescu: Sur certaines singularits des varits algbriques
D.A. Buchsbaum: Homological and commutative algebra
S. Greco: Anelli Henseliani
C. Lair: Morphismes et structures algbriques
B.A. Mitchell: Introduction to category theory and homological algebra
R. Rivet: Anneaux de sries formelles et anneaux henseliens
P. Salmon: Applicazioni della K
teoria allalgebra commutativa
M. Tierney: Axiomatic sheaf theory: some constructions and applications
C.B. Winters: An elementary lecture on algebraic spaces
ISBN:9783642109799
Series:e-books
Series:SpringerLink (Online service)
Series:C.I.M.E. Summer Schools : v58
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra
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Call number:SPRINGER-2010-9783034604369:ONLINE Show nearby items on shelf
Title:Homological Algebra of Semimodules and Semicontramodules [electronic resource] : Semi-infinite Homological Algebra of Associative Algebraic Structures
Author(s): Leonid Positselski
Date:2010
Publisher:Basel : Springer Basel
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This monograph deals with semi-infinite homological algebra. Intended as the definitive treatment of the subject of semi-infinite homology and cohomology of associative algebraic structures, it also contains material on thesemi-infinite (co)homology of Lie algebras and topological groups, the derived comodule-contramodule correspondence, its application to the duality between representations of infinite-dimensional Lie algebras with complementary centralcharges, and relative non-homogeneous Koszul du ality. The book explains with great clarity what the associative version of semi-infinite cohomology is, why it exists, and for what kind of objects it is defined. Semialgebras,contramodules, exotic derived categories, Tate Lie algebras, algebraic Harish- Chandra pairs, and locally compact totally disconnected topological groups all interplay in the theories developed in this monograph. Contramodules,introduced originally by Eilenberg and Moore in the 1960s but almost forgotten for four decades, are featur ed prominently in this book, with many versions of them introduced and discussed. Rich in new ideas on homological algebra andthe theory of corings and their analogues, this book also makes a contribution to the foundational aspects of representation theo ry. In particular, it will be a valuable addition to the algebraic literature available to mathematicalphysicists
Note:Springer eBooks
Contents:Preface
Introduction
0 Preliminaries and Summary
1 Semialgebras and Semitensor Product
2 Derived Functor SemiTor
3 Semicontramodules and Semihomomorphisms
4 Derived Functor SemiExt
5 Comodule
Contramodule Correspondence
6 Semimodule
Semicontramodule Correspondence
7 Functoriality in the Coring
8 Functoriality in the Semialgebra
9 Closed Model Category Structures
10 A Construction of Semialgebras
11 Relative Nonhomogeneous Koszul Duality
Appendix A Contramodules over Coalgebras over Fields
Appendix B Comparison with Arkhipov's Ext^{\infty/2+*} and Se
ISBN:9783034604369
Series:e-books
Series:SpringerLink (Online service)
Series:Monografie Matematyczne : v70
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis , Global differential geometry
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Call number:SPRINGER-2009-9783034601894:ONLINE Show nearby items on shelf
Title:Simplicial Homotopy Theory [electronic resource]
Author(s): Paul G Goerss
John F Jardine
Date:2009
Publisher:Basel : Birkhuser Basel
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Since the beginning of the modern era of algebraic topology, simplicial methods have been used systematically and effectively for both computation and basic theory. With the development of Quillen's concept of a closed modelcategory and, in particula r, a simplicial model category, this collection of methods has become the primary way to describe non-abelian homological algebra and to address homotopy-theoretical issues in a variety of fields, includingalgebraic K-theory. This book supplies a modern e xposition of these ideas, emphasizing model category theoretical techniques. Discussed here are the homotopy theory of simplicial sets, and other basic topics such as simplicial groups,Postnikov towers, and bisimplicial sets. The more advanced material in cludes homotopy limits and colimits, localization with respect to a map and with respect to a homology theory, cosimplicial spaces, and homotopy coherence.Interspersed throughout are many results and ideas well-known to experts, but uncollected in the lit erature. Intended for second-year graduate students and beyond, this book introduces many of the basic tools of modern homotopy theory.An extensive background in topology is not assumed. Reviews: a book filling an obvious gap in the literature and the au thors have done an excellent job on it. No monograph or expository paper has been published on this topic inthe last twenty-eight years. - Analele Universitatii din Timisoara is clearly presented and a brief summary preceding every chapter is useful to t he reader. The book should prove enlightening to a broad range of readersincluding prospective students and researchers who want to apply simplicial techniques for whatever reason. - Zentralblatt MATH they succeed. The book is an excellent account of sim plicial homotopy theory from a modern point ofview [] The book is well written. [] The book can be highly recommended to anybody who wants to learn and to apply simplicial techniques
Note:Springer eBooks
ISBN:9783034601894
Series:e-books
Series:SpringerLink (Online service)
Series:Modern Birkhuser Classics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics
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Call number:SPRINGER-2007-9783764375249:ONLINE Show nearby items on shelf
Title:Tool and Object [electronic resource] : A History and Philosophy of Category Theory
Author(s): Ralf Krmer
Date:2007
Publisher:Basel : Birkhuser Basel
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The book is first of all a history of category theory from the beginnings to A. Grothendieck and F.W. Lawvere. Category theory was an important conceptual tool in 20th century mathematics whose influence on some mathematicalsubdisciplines (above all algebraic topology and algebraic geometry) is analyzed. Category theory also has an important philosophical aspect: on the one hand its set-theoretical foundation is less obvious than for other mathematicaltheories, and on the other hand it unifies concep tually a large part of modern mathematics and may therefore be considered as somewhat fundamental itself. The role of this philosophical aspect in the historical development is thesecond focus of the book. Relying on the historical analysis, the author de velops a philosophical interpretation of the theory of his own, intending to get closer to how mathematicians conceive the significance of their activity thantraditional schools of philosophy of science. The book is the first monography exclusively devote d to the history of category theory. To a substantial extent it considers aspects never studied before. The author uses (and justifies theuse of) a methodology combining historical and philosophical approaches. The analysis is not confined to general rema rks, but goes into considerable mathematical detail. Hence, the book provides an exceptionally thorough case studycompared with other works on history or philosophy of mathematics. The philosophical position developed here (inspired by Peircean pragmatism and Wittgenstein) is an interesting alternative to traditional approaches in philosophy ofmathematics like platonism, formalism and intuitionism
Note:Springer eBooks
Contents:Prelude: Poincar, Wittgenstein, Peirce, and the use of concepts
Category theory in Algebraic Topology
Category theory in Homological Algebra
Category theory in Algebraic Geometry
From tool to object: full
fledged category theory
Categories as sets: problems and solutions
Categorial foundations
Pragmatism and category theory
ISBN:9783764375249
Series:e-books
Series:SpringerLink (Online service)
Series:Science Networks. Historical Studies : v32
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Mathematics_$xHistory
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Call number:SPRINGER-2007-9780817645748:ONLINE Show nearby items on shelf
Title:The Grothendieck Festschrift [electronic resource] A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck
Author(s): Pierre Cartier
Luc Illusie
Nicholas M Katz
Grard Laumon
Yuri I Manin
Kenneth A Ribet
Date:2007
Publisher:Boston, MA : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The many diverse articles presented in these three volumes, collected on the occasion of Alexander Grothendiecks sixtieth birthday and originally published in 1990, were offered as a tribute to one of the worlds greatestliving mathematicians. Grothen dieck changed the very way we think about many branches of mathematics. Many of his ideas, revolutionary when introduced, now seem so natural as to have been inevitable. Indeed, it is difficult to fullygrasp the influence his vast contributions to modern mathematics have subsequently had on new generations of mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundationalto the subject. Topics addressed by these top-notch contributors match th e breadth of Grothendiecks own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory,K-theory, category theory, and homological algebra. CONTRIBUTORS to Volume I: A. Altman M. Artin V. Bala ji A. Beauville A.A. Beilinson P. Berthelot J.-M. Bismut S. Bloch L. Breen J.-L. Brylinski J. Dieudonn H. Gillet A.B.Goncharov K. Kato S. Kleiman W. Messing V.V. Schechtman C.S. Seshadri C. Soul J. Tate M. van den Bergh and A.N. Varchenko
Note:Springer eBooks
Contents:Foreword
Bibliographie d'Alexander Grothendieck
Dieudonne
Altman and Kleiman
Artin, Tate, and van den Bergh
Balaji and Seshadri
Beauville
Beilinson, Goncharov, Schechtman, and Varchenko
Berthelot and Messing
Bismut, Gillet, and Soule
Bloch and Kato
Breen
Brylinski
ISBN:9780817645748
Series:e-books
Series:SpringerLink (Online service)
Series:Modern Birkhuser Classics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Algebra , K-theory , Functional analysis , Number theory , Algebraic topology
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Call number:SPRINGER-2007-9780387488998:ONLINE Show nearby items on shelf
Title:Exercises in Modules and Rings [electronic resource]
Author(s): T. Y Lam
Date:2007
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:For the Backcover This Problem Book offers a compendium of 639 exercises of varying degrees of difficulty in the subject of modules and rings at the graduate level. The material covered includes projective, injective, and flatmodules, homological and uniform dimensions, noncommutative localizations and Goldies theorems, maximal rings of quotients, Frobenius and quasi-Frobenius rings, as well as Moritas classical theory of category dualities andequivalences. Each of the nineteen sections begins with a n introduction giving the general background and the theoretical basis for the problems that follow. All exercises are solved in full detail many are accompanied by pertinenthistorical and bibliographical information, or a commentary on possible improveme nts, generalizations, and latent connections to other problems. This volume is designed as a problem book for the authors Lectures on Modules and Rings(Springer GTM, Vol. 189), from which the majority of the exercises were taken. Some forty new exercises have been added to further broaden the coverage. As a result, this book is ideal both as a companion volume to Lectures, and as asource for independent study. For students and researchers alike, this book will also serve as a handy reference for a copious amount of information in algebra and ring theory otherwise unavailable from textbooks. An outgrowth of theauthors lecture courses and seminars over the years at the University of California at Berkeley, this book and its predecessor Exercises in Classica l Ring Theory (Springer, 2003) offer to the mathematics community the fullest andmost comprehensive reference to date for problem solving in the theory of modules and rings
Note:Springer eBooks
Contents:Free Modules
Projective and Injective Modules
Flat Modules and Homological Dimensions
More Theory of Modules
Rings of Quotients
More Rings of Quotients
robenius and Quasi
Frobenius Rings
Matrix Rings, Categories of Modules, and Morita Theory
ISBN:9780387488998
Series:e-books
Series:SpringerLink (Online service)
Series:Problem Books in Mathematics, 0941-3502
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra
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Call number:SPRINGER-2004-9783540409984:ONLINE Show nearby items on shelf
Title:Methods of Graded Rings
Author(s): Constantin Nastasescu
Date:2004
Size:1 online resource (306 p.)
Note:10.1007/b94904
Contents:The Category of Graded Rings -- The Category of Graded Modules -- Modules over Stronly Graded Rings -- Graded Clifford Theory -- Internal Homogenization -- External Homogenization -- Smash Products -- Localization of Graded Rings --
Application to Gradability -- Appendix A: Some Category Theory -- Appendix B: Dimensions in an Abelian Category -- Bibliography -- Index
ISBN:9783540409984
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1836
Keywords: Mathematics , Algebra , Associative rings , Rings (Algebra) , Category theory (Mathematics) , Homological algebra , Group theory , Physics , Mathematics , Algebra , Associative Rings and Algebras , Category Theory, Homological Algebra , Group Theory and Generalizations , Mathematical Methods in Physics
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Call number:SPRINGER-2004-9783034878630:ONLINE Show nearby items on shelf
Title:Categorical Decomposition Techniques in Algebraic Topology International Conference in Algebraic Topology, Isle of Skye, Scotland, June 2001
Author(s):
Date:2004
Size:1 online resource (304 p.)
Note:10.1007/978-3-0348-7863-0
Contents:The functor T and the cohomology of mapping spaces -- On Morava K-theories of an S-arithmetic Group -- Ext groups for the composition of functors -- Homotopy operations and rational homotopy type -- The loop homology algebra of
spheres and projective spaces -- On braid groups, free groups, and the loop space Of the 2-sphere -- The K-completion of E6 -- The Homotopy of L2V(1) for the Prime 3 -- Spherical Space Forms — Homotopy Types and Self-Equivalences --
The Homotopy Type of Two-Regular K-Theory -- Strict model structures for pro-categories -- L-s categories of simply-connected compact simple lie groups Of low rank -- The mccord model for the tensor product of a space And a commutative
ring spectrum -- Spaces of multiplicative maps between Highly structured ring spectra -- Colimits, stanley-reisner algebras, and loop spaces -- Maps to spaces in the genus of infinite quaternionic Projective space
ISBN:9783034878630
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics : 215
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , Algebraic topology , Mathematics , Algebraic Topology , Category Theory, Homological Algebra
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Call number:SPRINGER-2004-9780387215976:ONLINE Show nearby items on shelf
Title:Computational Homology
Author(s): Tomasz Kaczynski
Date:2004
Size:1 online resource (482 p.)
Note:10.1007/b97315
Contents:Homology -- Preview -- Cubical Homology -- Computing Homology Groups -- Chain Maps and Reduction Algorithms -- Preview of Maps -- Homology of Maps -- Computing Homology of Maps -- Extensions -- Prospects in Digital Image Processing --
Homological Algebra -- Nonlinear Dynamics -- Homology of Topological Polyhedra -- Tools from Topology and Algebra -- Topology -- Algebra -- Syntax of Algorithms
ISBN:9780387215976
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Mathematical Sciences: 157
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , Dynamics , Ergodic theory , Applied mathematics , Engineering mathematics , Computer mathematics , Topology , Algebraic topology , Mathematics , Topology , Applications of Mathematics , Category Theory, Homological Algebra , Dynamical Systems and Ergodic Theory , Computational Mathematics and Numerical Analysis , Algebraic Topology
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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-2003-9789401702850:ONLINE Show nearby items on shelf
Title:Algorithmic Methods in Non-Commutative Algebra Applications to Quantum Groups
Author(s): José Bueso
Date:2003
Size:1 online resource (300 p.)
Note:10.1007/978-94-017-0285-0
Contents:1. Generalities on rings -- 2. Gröbner basis computation algorithms -- 3. Poincaré-Birkhoff-Witt Algebras -- 4. First applications -- 5. Gröbner bases for modules -- 6. Syzygies and applications -- 7. The Gelfand-Kirillov dimension
and the Hilbert polynomial -- 8. Primality -- References
ISBN:9789401702850
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematical Modelling, Theory and Applications: 17
Keywords: Computer science , Numerical analysis , Algebraic geometry , Associative rings , Rings (Algebra) , Category theory (Mathematics) , Homological algebra , Algorithms , Computer Science , Numeric Computing , Associative Rings and Algebras , Algorithms , Category Theory, Homological Algebra , Algebraic Geometry
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Call number:SPRINGER-2003-9789401702157:ONLINE Show nearby items on shelf
Title:Cohomology Rings of Finite Groups With an Appendix: Calculations of Cohomology Rings of Groups of Order Dividing 64
Author(s): Jon F Carlson
Date:2003
Size:1 online resource (776 p.)
Note:10.1007/978-94-017-0215-7
Contents:1. Homological Algebra -- 2. Group Algebras -- 3. Projective Resolutions -- 4. Cohomology Products -- 5. Spectral Sequences -- 6. Norms and the Cohomology of Wreath Products -- 7. Steenrod Operations -- 8. Varieties and Elementary
Abelian Subgroups -- 9. Cohomology Rings of Modules -- 10. Complexity and Multiple Complexes -- 11. Duality Complexes -- 12. Transfers, Depth and Detection -- 13. Subgroup Complexes -- 14. Computer Calculations and Completion Tests --
Appendices: Calculations of the Cohomology Rings of Groups of Order Dividing 64 -- A— Notation and References -- B— Groups of Order 8 -- C— Groups of Order 16 -- D— Groups of Order 32 -- E— Groups of Order 64 -- F— Tables of Krull
Dimension and Depth -- G— Tables of Hilbert / Poincaré Series -- References
ISBN:9789401702157
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Algebras and Applications: 3
Keywords: Mathematics , Numerical analysis , Algebra , Category theory (Mathematics) , Homological algebra , Commutative algebra , Commutative rings , Geometry , Algebraic topology , Mathematics , Geometry , Category Theory, Homological Algebra , Algebra , Commutative Rings and Algebras , Numeric Computing , Algebraic Topology
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Call number:SPRINGER-2003-9783662124925:ONLINE Show nearby items on shelf
Title:Methods of Homological Algebra
Author(s): Sergei I Gelfand
Date:2003
Edition:Second Edition
Size:1 online resource (372 p.)
Note:10.1007/978-3-662-12492-5
Contents:I. Simplicial Sets -- II. Main Notions of the Category Theory -- III. Derived Categories and Derived Functors -- IV. Triangulated Categories -- V. Introduction to Homotopic Algebra -- References
ISBN:9783662124925
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , Mathematics , Category Theory, Homological Algebra
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Call number:SPRINGER-2003-9783540450962:ONLINE Show nearby items on shelf
Title:Almost Ring Theory
Author(s):
Date:2003
Size:1 online resource (318 p.)
Note:10.1007/b10047
Contents:Introduction -- Homological Theory -- Almost Ring Theory -- Fine Study of Almost Projective Modules -- Henselian Pairs -- Valuation Theory -- Analytic Geometry -- Appendix -- References -- Index
ISBN:9783540450962
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1800
Keywords: Mathematics , Algebra , Algebraic geometry , Category theory (Mathematics) , Homological algebra , Commutative algebra , Commutative rings , Field theory (Physics) , Mathematics , Algebra , Commutative Rings and Algebras , Algebraic Geometry , Category Theory, Homological Algebra , Field Theory and Polynomials
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Call number:SPRINGER-2003-9783540362111:ONLINE Show nearby items on shelf
Title:Derived Functors in Functional Analysis
Author(s): Jochen Wengenroth
Date:2003
Size:1 online resource (138 p.)
Note:10.1007/b80165
Contents:Introduction -- Notions from homological algebra: Derived Functors The category of locally convex spaces -- The projective limit functor for countable spectra: Projective limits of linear spaces The Mittag-Leffler procedure Projective
limits of locally convex spaces Some Applications: The Mittag-Leffler theorem Separating singularities Surjectivity of the Cauchy-Riemann operator Surjectivity of P(D) on spaces of smooth functions Surjectivity of P(D) the space of
distributions Differential operators for ultradifferentiable functions of Roumieu type -- Uncountable projective spectra: Projective spectra of linear spaces Insertion: The completion functor Projective spectra of locally convex spaces
-- The derived functors of Hom: Extk in the category of locally convex spaces Splitting theory for Fréchet spaces Splitting in the category of (PLS)-spaces -- Inductive spectra of locally convex spaces -- The duality functor --
References -- Index
ISBN:9783540362111
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1810
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , Functional analysis , Partial differential equations , Mathematics , Functional Analysis , Category Theory, Homological Algebra , Partial Differential Equations
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Call number:SPRINGER-2003-9783034880619:ONLINE Show nearby items on shelf
Title:Topology of Singular Spaces and Constructible Sheaves
Author(s): Jörg Schürmann
Date:2003
Size:1 online resource (454 p.)
Note:10.1007/978-3-0348-8061-9
Contents:1 Thom-Sebastiani Theorem for constructible sheaves -- 1.1 Milnor fibration -- 1.2 Thom-Sebastiani Theorem -- 1.3 The Thom-Sebastiani Isomorphism in the derived category -- 1.4 Appendix: Künneth formula -- 2 Constructible sheaves in
geometric categories -- 2.1 Geometric categories -- 2.2 Constructible sheaves -- 2.3 Constructible functions -- 3 Localization results for equivariant constructible sheaves -- 3.1 Equivariant sheaves -- 3.2 Localization results for
additive functions -- 3.3 Localization results for Grothendieck groups and trace formulae -- 3.4 Equivariant cohomology -- 4 Stratification theory and constructible sheaves -- 4.1 Stratification theory -- 4.2 Constructible sheaves on
stratified spaces -- 4.3 Base change properties -- 5 Morse theory for constructible sheaves -- 5.1 Stratified Morse theory, part I -- 5.2 Characteristic cycles and index formulae -- 5.3 Stratified Morse theory, part II -- 5.4 Vanishing
cycles -- 6 Vanishing theorems for constructible sheaves -- Introduction: Results and examples -- 6.1 Proof of the results
ISBN:9783034880619
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Monografie Matematyczne, Instytut Matematyczny Polskiej Akademii Nauk (IMPAN) : 63
Keywords: Mathematics , Algebraic geometry , Category theory (Mathematics) , Homological algebra , Algebraic topology , Mathematics , Algebraic Topology , Algebraic Geometry , Category Theory, Homological Algebra
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Call number:SPRINGER-2003-9781461302353:ONLINE Show nearby items on shelf
Title:Groups, Rings, Lie and Hopf Algebras
Author(s):
Date:2003
Size:1 online resource (241 p.)
Note:10.1007/978-1-4613-0235-3
Contents:Generalized Lie Solvability Of Associative Algebras -- Two-Sided Ideals Of Some Finite-Dimensional Algebras -- On HNN-Extensions In The Class Of Groups Of Large Odd Exponent -- Constructing Noetherian Algebras -- On Radicals Of Triple
Systems -- Some Results On Hopf Algebras Of Frobenius Type -- Polynomial Identities In Hopf Algebras: Passman’s Theorem And Its Dual -- Nilpotent Subsets Of Hopf Module Algebras -- On Hopf Algebra Extensions Arising From Semi-Direct
Products Of Groups -- An introduction to universal central extensions of Lie superalgebras -- Non-Commutative, Non-Cocommutative Semisimple Hopf Algebras -- Self-Normalization Of Free Subgroups In The Free Burnside Groups -- Root
Direct Limits Of Lie Superalgebras -- Torsion Freeness Of The Unit Group Of 1 + ?(G)?(A) -- Graded Identities And Induced Gradings On Group Algebras -- Endo - Distributive And Endo - Bezout Modules
ISBN:9781461302353
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 555
Keywords: Mathematics , Algebra , Associative rings , Rings (Algebra) , Category theory (Mathematics) , Homological algebra , Matrix theory , Nonassociative rings , Mathematics , Algebra , Associative Rings and Algebras , Non-associative Rings and Algebras , Linear and Multilinear Algebras, Matrix Theory , Category Theory, Homological Algebra
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Call number:SPRINGER-2003-9780817682347:ONLINE Show nearby items on shelf
Title:Categorical Closure Operators
Author(s): Gabriele Castellini
Date:2003
Size:1 online resource (300 p.)
Note:10.1007/978-0-8176-8234-7
Contents:I GENERAL THEORY -- 1 Galois Connections -- 2 Some Categorical Concepts -- 3 Factorization Structures For Sinks -- 4 Closure Operators: Definition and Examples -- 5 Idempotency, Weak Heredity and Factorization Structures -- 6
Additivity, Heredity, Suprema and Infima of Closure Operators -- 7 Additional Descriptions of ? and ? and Subobject Orthogonality -- 8 A Diagram of Galois Connections of Closure Operators -- 9 Regular Closure Operators -- 10 Hereditary
Regular Closure Operators -- 11 APPLICATIONS -- 11 Epimorphisms -- 12 Separation -- 13 Compactness -- 14 Connectedness -- 15 Connectedness in Categories with a Terminal Object -- 16 A Link between two Connectedness Notions -- 17
Different Constructions Related -- References -- List of Symbols
ISBN:9780817682347
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , Partial differential equations , Applied mathematics , Engineering mathematics , Statistics , Mathematics , Category Theory, Homological Algebra , Partial Differential Equations , Applications of Mathematics , Statistics for Business/Economics/Mathematical Finance/Insurance
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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-2002-9789401004893:ONLINE Show nearby items on shelf
Title:Foundations of Topology An Approach to Convenient Topology
Author(s): Gerhard Preuss
Date:2002
Size:1 online resource (303 p.)
Note:10.1007/978-94-010-0489-3
Contents:0. Preliminaries -- 0.1 Set theoretical concepts -- 0.2 Topological structures -- 0.3 Some categorical concepts -- 1. Topological constructs -- 1.1 Definition and examples -- 1.2 Special categorical properties of topological
constructs -- 2. Reflections and coreflections -- 2.1 Universal maps and adjoint functors -- 2.2 Characterization theorems of ?-reflective and M-coreflective subcategories -- 2.3 Examples of bireflections and bicoreflections -- 3.
Topological universes -- 3.1 Cartesian closed topological constructs -- 3.2 Extensional topological constructs -- 3.3 Strong topological universes -- 4. Completions of semiuniform convergence spaces -- 4.1 Completion of uniform spaces
-- 4.2 Regular completion of semiuniform convergence spaces -- 4.3 Applications to compactifications -- 4.4 The simple completion and the Wyler completion -- 5. Connectedness properties -- 5.1 Connectednesses -- 5.2 Disconnectednesses
and their relations to connectednesses -- 5.3 Local ?-connectedness -- 6. Function spaces -- 6.1 Simple convergence, uniform convergence and continuous convergence in the realm of classical General Topology -- 6.2 Local compactness and
local precompactness in semiuniform convergence spaces -- 6.3 Precompactness and compactness in the natural function spaces of the construct of semiuniform convergence spaces -- 7. Relations between semiuniform convergence spaces and
merotopic spaces (including nearness spaces) -- 7.1 An alternative description of filter spaces in the realm of merotopic spaces -- 7.2 Subtopological spaces -- 7.3 Complete regularity and normality -- 7.4 Paracompactness and dimension
-- 7.5 Subcompact and sub-(compact Hausdorff) spaces -- Appendix. Some algebraically topological aspects in the realm of Convenient Topology -- A.l Cohomology for filter spaces -- A.2 Path connectedness and fundamental groups for limit
spaces -- Exercises -- Implication scheme for various SUConv-invariants -- Table: Preservation properties of some SUConv-invariants -- Diagram of relations between various subconstructs of SUConv (including their relations to merotopic
and nearness spaces) -- List of axioms -- List of symbols
ISBN:9789401004893
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , Functional analysis , Topology , Algebraic topology , Mathematics , Topology , Algebraic Topology , Category Theory, Homological Algebra , Functional Analysis
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Call number:SPRINGER-2002-9789401002493:ONLINE Show nearby items on shelf
Title:Topological Rings Satisfying Compactness Conditions
Author(s): Mihail Ursul
Date:2002
Size:1 online resource (327 p.)
Note:10.1007/978-94-010-0249-3
Contents:1. Elements of topological groups -- 1. The definition of a topological group -- 2. Neighborhoods of elements of a topological group -- 3. Subgroups of a topological group -- 4. Morphisms and quotients of topological groups -- 5. The
axioms of separation in topological groups -- 6. Initial topologies. Products of topological groups -- 7. The co-product topology on the algebraic direct sum -- 8. Semi-direct products of topological groups -- 9. The embedding of
totally bounded groups in pseudo-compact ones -- 10. Metrization of topological groups -- 11. The connected component of a topological group -- 12. Quasi-components of topological groups -- 13. Complete topological groups -- 14.
Minimal topological groups -- 15. Free topological groups -- 16. The finest precompact topology on an Abelian group -- 17. Ordered topological groups -- 18. Topological groups of the second category -- 19. Inverse limits of topological
groups -- 2. Topological rings -- 1. The notion of a topological ring -- 2. Neighborhoods of zero of a topological ring -- 3. Subrings of topological rings -- 4. Compact right topological rings -- 5. The local structure of locally
compact rings -- 6. Structure of compact rings -- 7. The separated completion of a topological ring -- 8. Trivial extensions -- 9. Nil and nilpotence in the class of locally compact rings -- 10. The Wedderburn-Mal’cev theorem for
compact rings -- 11. Topological products of primary compact rings -- 12. Zero divisors in topological rings -- 13. The group of units of a topological ring -- 14. Boundedness in locally compact rings -- 15. Simple topological rings --
16. Homological dimension of a compact ring -- 17. Local direct sums of locally compact rings -- 18. Radicals in the class of locally compact rings -- 19. Endc(RM) -- 20. Locally compact division rings -- 21. Non-metrizable compact
domains -- 22. Open subrings of topological division rings -- 23. Tensor products of compact rings -- 24. Pseudo-compact topologies on the ring of polynomials -- 25. The Lefschetz duality -- 26. The uniqueness of compact ring
topologies -- 27. Totally bounded topological rings -- 28. Representations of locally compact rings -- 29. Open questions in topological groups and rings
ISBN:9789401002493
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 549
Keywords: Mathematics , Associative rings , Rings (Algebra) , Group theory , Nonassociative rings , Topological groups , Lie groups , Algebraic topology , Mathematics , Associative Rings and Algebras , Algebraic Topology , Topological Groups, Lie Groups , Group Theory and Generalizations , Non-associative Rings and Algebras
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Call number:SPRINGER-2002-9783540455608:ONLINE Show nearby items on shelf
Title:Lectures on Amenability
Author(s): Volker Runde
Date:2002
Size:1 online resource (302 p.)
Note:10.1007/b82937
Contents:Paradoxical decompositions -- Amenable, locally comact groups -- Amenable Banach algebras -- Exemples of amenable Banach algebras -- Amenability-like properties -- Banach homology -- C* and W*-algebras -- Operator amenability --
Geometry of spaces of homomorphisms -- Open problems: Abstract harmonic analysis -- Tensor products -- Banach space properties -- Operator spaces -- List of symbols -- References -- Index
ISBN:9783540455608
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1774
Keywords: Mathematics , Algebra , Category theory (Mathematics) , Homological algebra , Harmonic analysis , Functional analysis , Global analysis (Mathematics) , Manifolds (Mathematics) , Mathematics , Algebra , Functional Analysis , Abstract Harmonic Analysis , Category Theory, Homological Algebra , Global Analysis and Analysis on Manifolds
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Call number:SPRINGER-2002-9781461201052:ONLINE Show nearby items on shelf
Title:Kac-Moody Groups, their Flag Varieties and Representation Theory
Author(s): Shrawan Kumar
Date:2002
Size:1 online resource (609 p.)
Note:10.1007/978-1-4612-0105-2
Contents:I. Kac-Moody Algebras: Basic Theory -- 1. Definition of Kac-Moody Algebras -- 2. Root Space Decomposition -- 3. Weyl Groups Associated to Kac-Moody Algebras -- 4. Dominant Chamber and Tits Cone -- 5. Invariant Bilinear Form and the
Casimir Operator -- II. Representation Theory of Kac-Moody Algebras -- 1. Category $$\mathcal{O}$$ -- 2. Weyl-Kac Character Formula -- 3. Shapovalov Bilinear Form -- III. Lie Algebra Homology and Cohomology -- 1. Basic Definitions and
Elementary Properties -- 2. Lie Algebra Homology of n-: Results of Kostant-Garland-Lepowsky -- 3. Decomposition of the Category $$\mathcal{O}$$ and some Ext Vanishing Results -- 4. Laplacian Calculation -- IV. An Introduction to
ind-Varieties and pro-Groups -- 1. Ind-Varieties: Basic Definitions -- 2. Ind-Groups and their Lie Algebras -- 3. Smoothness of ind-Varieties -- 4. An Introduction to pro-Groups and pro-Lie Algebras -- V. Tits Systems: Basic Theory --
1. An Introduction to Tits Systems -- 2. Refined Tits Systems -- VI. Kac-Moody Groups: Basic Theory -- 1. Definition of Kac-Moody Groups and Parabolic Subgroups -- 2. Representations of Kac-Moody Groups -- VII. Generalized Flag
Varieties of Kac-Moody Groups -- 1. Generalized Flag Varieties: Ind-Variety Structure -- 2. Line Bundles on $${\mathcal{X}^Y}$$ -- 3. Study of the Group $${\mathcal{U}^ - }$$ -- 4. Study of the Group $${\mathcal{G}^{\min }}$$ Defined
by Kac-Peterson -- VIII. Demazure and Weyl-Kac Character Formulas -- 1. Cohomology of Certain Line Bundles on $${Z_\mathfrak{w}}$$ -- 2. Normality of Schubert Varieties and the Demazure Character Formula -- 3. Extension of the Weyl-Kac
Character Formula and the Borel-Weil-Bott Theorem -- IX. BGG and Kempf Resolutions -- 1. BGG Resolution: Algebraic Proof in the Symmetrizable Case -- 2. A Combinatorial Description of the BGG Resolution -- 3. Kempf Resolution -- X.
Defining Equations of $$\mathcal{G}/\mathcal{P}$$ and Conjugacy Theorems -- 1. Quadratic Generation of Defining Ideals of $$\mathcal{G}/\mathcal{P}$$ in Projective Embeddings -- 2. Conjugacy Theorems for Lie Algebras -- 3. Conjugacy
Theorems for Groups -- XI. Topology of Kac-Moody Groups and Their Flag Varieties -- 1. The Nil-Hecke Ring -- 2. Determination of $$\bar R$$ -- 3. T-equivariant Cohomology of $$\mathcal{G}/\mathcal{P}$$ -- 4. Positivity of the Cup
Product in the Cohomology of Flag Varieties -- 5. Degeneracy of the Leray-Serre Spectral Sequence for the Fibration $${\mathcal{G}^{\min }} \to {\mathcal{G}^{\min }}/T$$ -- XII. Smoothness and Rational Smoothness of Schubert Varieties
-- 1. Singular Locus of Schubert Varieties -- 2. Rational Smoothness of Schubert Varieties -- XIII. An Introduction to Affine Kac-Moody Lie Algebras and Groups -- 1. Affine Kac-Moody Lie Algebras -- 2. Affine Kac-Moody Groups --
Appendix A. Results from Algebraic Geometry -- Appendix B. Local Cohomology -- Appendix C. Results from Topology -- Appendix D. Relative Homological Algebra -- Appendix E. An Introduction to Spectral Sequences -- Index of Notation
ISBN:9781461201052
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics : 204
Keywords: Mathematics , Algebra , Algebraic geometry , Group theory , Topological groups , Lie groups , Algebraic topology , Mathematics , Algebraic Topology , Topological Groups, Lie Groups , Algebra , Algebraic Geometry , Group Theory and Generalizations
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Call number:SPRINGER-2001-9783540446255:ONLINE Show nearby items on shelf
Title:Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners
Author(s): Thomas Kerler
Date:2001
Size:1 online resource (383 p.)
Note:10.1007/b82618
Contents:and Summary of Results -- The Double Category of Framed, Relative 3-Cobordisms -- Tangle-Categories and Presentation of Cobordisms -- Isomorphism between Tangle and Cobordism Double Categories -- Monoidal categories and monoidal
2-categories -- Coends and construction of Hopf algebras -- Construction of TQFT-Double Functors -- Generalization of a modular functor -- From Quantum Field Theory to Axiomatics -- Double Categories and Double Functors -- Thick
tangles
ISBN:9783540446255
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1765
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , Commutative algebra , Commutative rings , Manifolds (Mathematics) , Complex manifolds , Physics , Mathematics , Commutative Rings and Algebras , Category Theory, Homological Algebra , Manifolds and Cell Complexes (incl. Diff.Topology) , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-2001-9781461213703:ONLINE Show nearby items on shelf
Title:Categorical Perspectives
Author(s):
Date:2001
Size:1 online resource (281 p.)
Note:10.1007/978-1-4612-1370-3
Contents:Categories: A Free Tour -- The Functor that Wouldn’t be -- The Emergence of Functors -- Too Many Functors -- Contributions and Importance of Professor George E. Strecker’s Research -- 10 Rules for Surviving as a Mathematician and
Teacher -- Connections and Polarities -- Categorical Closure Operators -- Extensions of Maps from Dense Subspaces -- Characterizations of Subspaces of Important Types of Convergences Spaces in the Realm of Convenient Topology -- The
Naturals are Lindelöf iff Ascoli Holds -- Revisiting the Celebrated Thesis of J. de Groot: “Everything is Linear.” -- Finite Ultrametric Spaces and Computer Science -- The Copnumber of a Graph is Bounded by ?3/2 genus (G)? + 3 --
Abelian Groups: Simultaneously Reflective and Coreflective Subcategories versus Modules
ISBN:9781461213703
Series:eBooks
Series:SpringerLink (Online service)
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Keywords: Mathematics , Algebra , Category theory (Mathematics) , Homological algebra , Topology , Manifolds (Mathematics) , Complex manifolds , Mathematics , Category Theory, Homological Algebra , Algebra , Topology , Manifolds and Cell Complexes (incl. Diff.Topology)
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Call number:SPRINGER-2000-9789401731966:ONLINE Show nearby items on shelf
Title:Symmetries and Recursion Operators for Classical and Supersymmetric Differential Equations
Author(s): I. S Krasil’ shchik
Date:2000
Size:1 online resource (384 p.)
Note:10.1007/978-94-017-3196-6
Contents:1. Classical symmetries -- 2. Higher symmetries and conservation laws -- 3. Nonlocal theory -- 4. Brackets -- 5. Deformations and recursion operators -- 6. Super and graded theories -- 7. Deformations of supersymmetric equations -- 8.
Symbolic computations in differential geometry
ISBN:9789401731966
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 507
Keywords: Mathematics , Numerical analysis , Category theory (Mathematics) , Homological algebra , Nonassociative rings , Rings (Algebra) , Partial differential equations , Differential geometry , Mathematics , Non-associative Rings and Algebras , Category Theory, Homological Algebra , Partial Differential Equations , Differential Geometry , Numeric Computing
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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-2000-9789401712019: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-2000-9789401596084:ONLINE Show nearby items on shelf
Title:Communication-Based Systems Proceeding of the 3rd International Workshop held at the TU Berlin, Germany, 31 March – 1 April 2000
Author(s):
Date:2000
Size:1 online resource (196 p.)
Note:10.1007/978-94-015-9608-4
Contents:Performance Evaluation of Communication Based Systems -- GSPN Models of Dual-Band GSM Networks -- Time in Message Sequence Chart Specifications and How to Derive Stochastic Petri Nets -- Safe System-Level Diagnosis for Selected Fault
Models -- Fault-Tolerance Mechanisms for a Parallel Programming System — A Responsiveness Perspective -- Foundations and Applications of Communication Based Systems -- Run Time Modification of Algebraic High Level Nets and Algebraic
Higher Order Nets using Folding and Unfolding Construction -- Compositional Specification of Distributed Systems by Distributed Graph Transformation -- Specifying, Analyzing and Programming Communication Systems in Maude -- Towards
Dynamic Shaping -- A Personal, Historical Perspective of Parallel Programming for High Performance -- Distributed Environments for Communication Based Systems -- Automatic Distribution in Pangaea -- Multiphase Consensus Finding in
Collaborative Problem Solving -- Efficient and Secure Information Sharing in Distributed, Collaborative Environments -- A Constraint Programming Framework for AI Planning -- Atomic Broadcast in a Byzantine Model
ISBN:9789401596084
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Microprocessors , Software engineering , Programming languages (Electronic computers) , Category theory (Mathematics) , Homological algebra , System theory , Mathematics , Category Theory, Homological Algebra , Systems Theory, Control , Processor Architectures , Programming Languages, Compilers, Interpreters , Software Engineering/Programming and Operating Systems
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Call number:SPRINGER-2000-9789401595902:ONLINE Show nearby items on shelf
Title:Modern Projective Geometry
Author(s): Claude-Alain Faure
Date:2000
Size:1 online resource (363 p.)
Note:10.1007/978-94-015-9590-2
Contents:1. Fundamental Notions of Lattice Theory -- 2. Projective Geometries and Projective Lattices -- 3. Closure Spaces and Matroids -- 4. Dimension Theory -- 5. Geometries of degree n -- 6. Morphisms of Projective Geometries -- 7.
Embeddings and Quotient-Maps -- 8. Endomorphisms and the Desargues Property -- 9. Homogeneous Coordinates -- 10. Morphisms and Semilinear Maps -- 11. Duality -- 12. Related Categories -- 13. Lattices of Closed Subspaces -- 14.
Orthogonality -- List of Problems -- List of Axioms -- List of Symbols
ISBN:9789401595902
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 521
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , Matrix theory , Algebra , Geometry , Combinatorics , Quantum physics , Mathematics , Geometry , Linear and Multilinear Algebras, Matrix Theory , Combinatorics , Category Theory, Homological Algebra , Quantum Physics
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Call number:SPRINGER-2000-9783034884266:ONLINE Show nearby items on shelf
Title:Infinite Length Modules
Author(s):
Date:2000
Size:1 online resource (439 p.)
Note:10.1007/978-3-0348-8426-6
Contents:Infinite length modules. Some Examples as Introduction -- Modules with strange decomposition properties -- Failure of the Krull-Schmidt theorem for artinian modules and serial modules -- Artinian modules over a matrix ring -- Some
combinatorial principles for solving algebraic problems -- Dimension theory of noetherian rings -- Krull, Gelfand-Kirillov, Filter, Faithful and Schur dimensions -- Cohen-Macaulay modules and approximations -- The generic
representation theory of finite fields A survey of basic structures -- On artinian objects in the category of functors between $${{\mathbb{F}}_{2}} $$ -vector spaces -- Unstable modules over the Steenrod algebra, functors, and the
cohomology of spaces -- Infinite dimensional modules for finite groups -- Bousfield localization for representation theoretists -- The thick subcategory generated by the trivial module -- Birational classification of moduli spaces --
Tame algebras and degenerations of modules -- On some tame and discrete families of modules -- Purity, algebraic compactness, direct sum decompositions, and representation type -- Topological and geometrical aspects of the Ziegler
spectrum -- Finite versus infinite dimensional representations A new definition of tameness -- Invariance of tameness under stable equivalence:Krause’s theorem -- The Krull-Gabriel dimension of an algebra Open problems and conjectures
-- Homological differences between finite and infinite dimensional representations of algebras
ISBN:9783034884266
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebra , Mathematics , Algebra
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Call number:SPRINGER-1999-9789401712071:ONLINE Show nearby items on shelf
Title:Cut Elimination in Categories
Author(s): Kosta Došen
Date:1999
Size:1 online resource (229 p.)
Note:10.1007/978-94-017-1207-1
Contents:2. Functors -- 3. Natural Transformations -- 4. Adjunctions -- 5. Comonads -- 6. Cartesian Categories -- Conclusion -- References
ISBN:9789401712071
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Trends in Logic, Studia Logica Library: 6
Keywords: Philosophy , Logic , Computer science , Category theory (Mathematics) , Homological algebra , Mathematical logic , Philosophy , Logic , Mathematical Logic and Foundations , Category Theory, Homological Algebra , Symbolic and Algebraic Manipulation
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Call number:SPRINGER-1999-9781461205258:ONLINE Show nearby items on shelf
Title:Lectures on Modules and Rings
Author(s): T. Y Lam
Date:1999
Size:1 online resource (557 p.)
Note:10.1007/978-1-4612-0525-8
Contents:1 Free Modules, Projective, and Injective Modules -- 1. Free Modules -- 2. Projective Modules -- 3. Injective Modules -- 31. Matlis’ Theory -- 2 Flat Modules and Homological Dimensions -- 4. Flat and Faithfully Flat Modules -- 41.
Faithfully Flat Modules -- 5. Homological Dimensions -- 3 More Theory of Modules -- 6. Uniform Dimensions, Complements, and CS Modules -- 7. Singular Submodules and Nonsingular Rings -- 8. Dense Submodules and Rational Hulls -- 4 Rings
of Quotients -- 9. Noncommutative Localization -- 10. Classical Rings of Quotients -- 11. Right Goldie Rings and Goldie’s Theorems -- 12. Artinian Rings of Quotients -- 5 More Rings of Quotients -- 13. Maximal Rings of Quotients -- 14.
Martindale Rings of Quotients -- 6 Frobenius and Quasi-Frobenius Rings -- 15. Quasi-Frobenius Rings -- 16. Frobenius Rings and Symmetric Algebras -- 7 Matrix Rings, Categories of Modules, and Morita Theory -- 17. Matrix Rings -- 18.
Morita Theory of Category Equivalences -- 19. Morita Duality Theory -- References -- Name Index
ISBN:9781461205258
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Graduate Texts in Mathematics: 189
Keywords: Mathematics , Algebra , Mathematics , Algebra
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Call number:SPRINGER-1998-9781447105893:ONLINE Show nearby items on shelf
Title:Sets, Logic and Categories
Author(s): Peter J Cameron
Date:1998
Size:1 online resource (182 p.)
Note:10.1007/978-1-4471-0589-3
Contents:1. Naïve set theory -- 2. Ordinal numbers -- 3. Logic -- 4. First-order logic -- 5. Model theory -- 6. Axiomatic set theory -- 7. Categories -- 8. Where to from here? -- Solutions to selected exercises -- References
ISBN:9781447105893
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , K-theory , Mathematical logic , Mathematics , Mathematical Logic and Foundations , Category Theory, Homological Algebra , K-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-1997-9789401588539:ONLINE Show nearby items on shelf
Title:Non-Abelian Homological Algebra and Its Applications
Author(s): Hvedri Inassaridze
Date:1997
Size:1 online resource (266 p.)
Note:10.1007/978-94-015-8853-9
Contents:1 Universal sequences of functors -- 2 Derived functors -- 3 Extensions and cohomology of monoids with coefficients in semimodules -- 4 Cohomology of algebraic theories and MacLane (co)homology of rings -- 5 K-functors -- 6
Non-abelian homology of groups -- References
ISBN:9789401588539
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 421
Keywords: Mathematics , Algebraic geometry , Associative rings , Rings (Algebra) , Category theory (Mathematics) , Homological algebra , K-theory , Algebraic topology , Mathematics , Category Theory, Homological Algebra , K-Theory , Associative Rings and Algebras , Algebraic Topology , Algebraic Geometry
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Call number:SPRINGER-1997-9789401156400: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-1997-9781461541097:ONLINE Show nearby items on shelf
Title:Introduction to the Quantum Yang-Baxter Equation and Quantum Groups: An Algebraic Approach
Author(s): Larry A Lambe
Date:1997
Size:1 online resource (300 p.)
Note:10.1007/978-1-4615-4109-7
ISBN:9781461541097
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 423
Keywords: Mathematics , Numerical analysis , Associative rings , Rings (Algebra) , Category theory (Mathematics) , Homological algebra , Physics , Mathematics , Associative Rings and Algebras , Theoretical, Mathematical and Computational Physics , Numeric Computing , Category Theory, Homological Algebra
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Call number:SPRINGER-1996-9789401587594:ONLINE Show nearby items on shelf
Title:Zariskian Filtrations
Author(s): Li Huishi
Date:1996
Size:1 online resource (253 p.)
Note:10.1007/978-94-015-8759-4
Contents:I Filtered Rings and Modules -- II Zariskian Filtrations -- III Auslander Regular Filtered (Graded) Rings -- IV Microlocalization of Filtered Rings and Modules, Quantum Sections and Gauge Algebras -- References
ISBN:9789401587594
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:K-Monographs in Mathematics: 2
Keywords: Mathematics , Algebraic geometry , Associative rings , Rings (Algebra) , Category theory (Mathematics) , Homological algebra , Partial differential equations , Elementary particles (Physics) , Quantum field theory , Mathematics , Associative Rings and Algebras , Category Theory, Homological Algebra , Algebraic Geometry , Partial Differential Equations , Elementary Particles, Quantum Field Theory
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Call number:SPRINGER-1996-9789400902633:ONLINE Show nearby items on shelf
Title:Categorical Topology Proceedings of the L’Aquila Conference (1994)
Author(s):
Date:1996
Size:1 online resource (280 p.)
Note:10.1007/978-94-009-0263-3
Contents:Compactness and the Axiom of Choice -- On Categorical Notions of Compact Objects -- Reflective Relatives of Adjunctions -- The Kat?tov Dimension Proximity Spaces -- Generalized Reflective cum Coreflective Classes in Top and Unif -- On
the Largest Coreflective Cartesian Closed Subconstruct of Prtop -- Topological Spaces and Quasi-Varieties -- ?-Sober Spaces via the Orthogonal Closure Operator -- Some Aspects of Topological Descent -- The Pullback Closure Operator and
Generalisations of Perfectness -- A Remark on Fixed Points Functors in Topological Categories -- Concrete Categories Are Concretely Equivalent iff Their Uniquely Transportable Modifications Are Strict Concretely Isomorphic --
Connectedness, Disconnectedness and Closure Operators, a More General Approach -- Dold Type Theorems in Cubical Homotopy Theory -- A Topological Banach Space Model of Linear Logic -- Parametrizing the Theory of Closure Operators --
Tychonoff Compactifications and R-Completions of Mappings and Rings of Continuous Functions -- Disconnectedness: Two Examples -- Objects with Dense Diagonals -- Ascoli-Arzelá-Theory Based on Continuous Convergence in an (Almost)
Non-Hausdorff Setting -- A Subcategory of FIL -- Epis in the Category of Pairwise-I2 Spaces -- Clone Segments in Top and in Unif -- Simultaneous Problems of Clone Segments in Top and in Unif -- List of Partipants
ISBN:9789400902633
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , Mathematical logic , Mathematics , Category Theory, Homological Algebra , Mathematical Logic and Foundations
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Call number:SPRINGER-1996-9783662032206:ONLINE Show nearby items on shelf
Title:Methods of Homological Algebra
Author(s): Sergei I Gelfand
Date:1996
Size:1 online resource (374 p.)
Note:10.1007/978-3-662-03220-6
Contents:I. Simplicial Sets -- II. Main Notions of the Category Theory -- III. Derived Categories and Derived Functors -- IV. Triangulated Categories -- V. Introduction to Homotopic Algebra -- References
ISBN:9783662032206
Series:eBooks
Series:SpringerLink (Online service)
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Keywords: Mathematics , K-theory , Mathematics , K-Theory
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Call number:SPRINGER-1996-9783540495796:ONLINE Show nearby items on shelf
Title:Asymptotic Cyclic Cohomology
Author(s): Michael Puschnigg
Date:1996
Size:1 online resource (244 p.)
Note:10.1007/BFb0094458
Contents:The asymptotic homotopy category -- Algebraic de Rham complexes -- Cyclic cohomology -- Homotopy properties of X-complexes -- The analytic X-complex -- The asymptotic X-complex -- Asymptotic cyclic cohomology of dense subalgebras --
Products -- Exact sequences -- KK-theory and asymptotic cohomology -- Examples
ISBN:9783540495796
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1642
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , K-theory , Operator theory , Algebraic topology , Mathematics , Category Theory, Homological Algebra , Algebraic Topology , K-Theory , Operator Theory
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Call number:SPRINGER-1996-9781475745887:ONLINE Show nearby items on shelf
Title:Basic Concepts of Synthetic Differential Geometry
Author(s): René Lavendhomme
Date:1996
Size:1 online resource (320 p.)
Note:10.1007/978-1-4757-4588-7
Contents:1 Differential calculus and integrals -- 2 Weil algebras and infinitesimal linearity -- 3 Tangency -- 4 Differential forms -- 5 Connections -- 6 Global actions -- 7 On the algebra of the geometry of mechanics -- 8 Note on toposes and
models of S.D.G
ISBN:9781475745887
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series: 13
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , Differential geometry , Mathematical logic , Manifolds (Mathematics) , Complex manifolds , Mathematics , Differential Geometry , Category Theory, Homological Algebra , Mathematical Logic and Foundations , Manifolds and Cell Complexes (incl. Diff.Topology)
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Call number:SPRINGER-1996-9781475724912:ONLINE Show nearby items on shelf
Title:Combinatorial Network Theory
Author(s):
Date:1996
Size:1 online resource (214 p.)
Note:10.1007/978-1-4757-2491-2
Contents:1 Additive Group Theory Applied to Network Topology -- 2 Connectivity of Cayley Digraphs -- 3 De Bruijn Digraphs, Kautz Digraphs, and Their Generalizations -- 4 Link-Connectivities of Extended Double Loop Networks -- 5 Dissemination
of Information In Interconnection Networks (Broadcasting & Gossiping)
ISBN:9781475724912
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Optimization: 1
Keywords: Mathematics , Computer science , Category theory (Mathematics) , Homological algebra , Information theory , Discrete mathematics , Combinatorics , Mathematics , Discrete Mathematics , Combinatorics , Information and Communication, Circuits , Discrete Mathematics in Computer Science , Category Theory, Homological Algebra
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Call number:SPRINGER-1995-9789401584302:ONLINE Show nearby items on shelf
Title:Noncommutative Algebraic Geometry and Representations of Quantized Algebras
Author(s): Alexander L Rosenberg
Date:1995
Size:1 online resource (322 p.)
Note:10.1007/978-94-015-8430-2
Contents:I Noncommutative affine schemes -- II The left spectrum and irreducible representations of ‘small’ quantized and classical rings -- III Noncommutative local algebra -- IV Noncommutative local algebra and representations of certain
rings of mathematical physics -- V Skew PBW monads and representations -- VI Six spectra and two dimensions of an abelian category -- VII Noncommutative Projective Spectrum -- Reference -- Index of Notations
ISBN:9789401584302
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 330
Keywords: Mathematics , Associative rings , Rings (Algebra) , Category theory (Mathematics) , Homological algebra , Topological groups , Lie groups , Applied mathematics , Engineering mathematics , Mathematics , Associative Rings and Algebras , Topological Groups, Lie Groups , Category Theory, Homological Algebra , Applications of Mathematics
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Call number:SPRINGER-1995-9789401584005: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-1995-9789401104432:ONLINE Show nearby items on shelf
Title:Abelian Groups and Modules Proceedings of the Padova Conference, Padova, Italy, June 23–July 1, 1994
Author(s):
Date:1995
Size:1 online resource (517 p.)
Note:10.1007/978-94-011-0443-2
Contents:Dual relative Krull dimension of modules over commutative rings -- Morita duality, linear compactness and AB5*: a survey -- Near isomorphism of Butler groups and representations of finite posets -- Locally free finite rank Butler
groups and near isomorphism -- Subgroups of Butler groups -- Some abelian groups with free duals -- Confirmation of a conjecture of Dauns and Hofmann on biregular rings -- Induction functors for the Doi-Koppinen unified Hopf modules --
One-dimensional rings of finite representation type -- Uniqueness of dualities -- Classification and non-classification results for abelian groups -- ?-pure-injectivemodules over serial rings -- Modules over endomorphism rings as
homotopy classes -- Categories of mixed and torsion-free finite rank abelian groups -- Reflexive representations of algebras -- Zero-dimensional subrings of commutative rings -- The dimension of the tensor product of two particular
pullbacks -- On the existence of rigid ?1- free abelian groups of cardinality ?1 -- Warfield duality and module extensions over a noetherian domain -- Von Neumann regular rings and direct sum decomposition problems -- Selforthogonal
modules -- Subrings of finite-dimensional rings -- Primary abelian groups whose countable subgroups have countable closure -- Isotype separable subgroups of totally projective groups -- Representable preradicals with enough projectives
-- Rings with periodic unit groups -- Abelian groups with contractions II: Weak o-minimality -- Almost completely decomposable torsion-free abelian groups -- On the exchange property for quasi-continuous modules -- Endomorphism rings
of Reid groups -- Completely decomposable subgroups and factors of finite rank completely decomposable groups -- On the endomorphism ring of an infinite dimensional vector space -- Some algebraically compact modules I -- The near
endomorphism ring of an almost completely decomposable group -- Reflexivity of left serial algebras -- On a class of minimal topological modules -- Steady rings may contain large sets of orthogonal idempotents -- The Holy Grail of
Algebra: Seeking complete sets of invariants -- Invariants for almost completely decomposable groups -- A class of modules with semisimple behavior -- The finitistic dimension conjectures — a tale of 3.5 decades
ISBN:9789401104432
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 343
Keywords: Mathematics , Algebraic geometry , Associative rings , Rings (Algebra) , Category theory (Mathematics) , Homological algebra , Commutative algebra , Commutative rings , Group theory , Mathematics , Associative Rings and Algebras , Group Theory and Generalizations , Category Theory, Homological Algebra , Commutative Rings and Algebras , Algebraic Geometry
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Call number:SPRINGER-1995-9789401101875:ONLINE Show nearby items on shelf
Title:Quality of Communication-Based Systems Proceedings of an International Workshop held at the TU Berlin, Germany, September 1994
Author(s):
Date:1995
Size:1 online resource (195 p.)
Note:10.1007/978-94-011-0187-5
Contents:Contributions to Quality from Specification Techniques -- Abstract Datatype Semantics for Algebraic High-Level Nets Using Dynamic Abstract Datatypes -- Making Statics Dynamic: Towards an Axiomatization for Dynamic ADTs --
Specification of Concurrent Systems: from Petri Nets to Graph Grammars -- Towards a Theory of Strong Bisimulation for the Service Rendezvous -- Contributions to Quality from Quantitative Modelling -- Transient Analysis of Real-Time
Systems Using Deterministic and Stochastic Petri Nets -- Performance Modeling with Structured Actions -- Transient Analysis of Deterministic and Stochastic Petri Nets by the Method of Supplementary Variables -- Discrete Time
Deterministic and Stochastic Petri Nets -- Contributions to Quality from Distributed Systems Organization -- Bauhaus Linda: An Overview -- Naming and Typing in Languages for Coordination in Open Distributed System -- An Efficient
Implementation of Decoupled Communication in Distributed Environments -- Extending the Rôle of Object References in Distributed Systems -- On Protocols for Loss-less Statistical Multiplexing in Integrated Networks
ISBN:9789401101875
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Microprocessors , Computer communication systems , Programming languages (Electronic computers) , Category theory (Mathematics) , Homological algebra , System theory , Mathematics , Category Theory, Homological Algebra , Mathematics, general , Computer Communication Networks , Systems Theory, Control , Processor Architectures , Programming Languages, Compilers, Interpreters
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Call number:SPRINGER-1995-9783642620294:ONLINE Show nearby items on shelf
Title:Homology
Author(s): Saunders Mac Lane
Date:1995
Size:1 online resource (422 p.)
Note:10.1007/978-3-642-62029-4
Contents:I. Modules, Diagrams, and Functors -- 1. The Arrow Notation -- 2. Modules -- 3. Diagrams -- 4. Direct Sums -- 5. Free and Projective Modules -- 6. The Functor Horn -- 7. Categories -- 8. Functors -- II. Homology of Complexes -- 1.
Differential Groups -- 2. Complexes -- 3. Cohomology -- 4. The Exact Homology Sequence -- 5. Some Diagram Lemmas -- 6. Additive Relations -- 7. Singular Homology -- 8. Homotopy -- 9. Axioms for Homology -- III. Extensions and
Resolutions -- 1. Extensions of Modules -- 2. Addition of Extensions -- 3. Obstructions to the Extension of Homomorphisms -- 4. The Universal Coefficient Theorem for Cohomology -- 5. Composition of Extensions -- 6. Resolutions -- 7.
Injective Modules -- 8. Injective Resolutions -- 9. Two Exact Sequences for Extn -- 10. Axiomatic Description of Ext -- 11. The Injective Envelope -- IV. Cohomology of Groups -- 1. The Group Ring -- 2. Crossed Homomorphisms -- 3. Group
Extensions -- 4. Factor Sets -- 5. The Bar Resolution -- 6. The Characteristic Class of a Group Extension -- 7. Cohomology of Cyclic and Free Groups -- 8. Obstructions to Extensions -- 9. Realization of Obstructions -- 10. SCHUR’S
Theorem -- 11. Spaces with Operators -- V. Tensor and Torsion Products -- 1. Tensor Products -- 2. Modules over Commutative Rings -- 3. Bimodules -- 4. Dual Modules -- 5. Right Exactness of Tensor Products -- 6. Torsion Products of
Groups -- 7. Torsion Products of Modules -- 8. Torsion Products by Resolutions -- 9. The Tensor Product of Complexes -- 10. The KÜNNETH Formula -- 11. Universal Coefficient Theorems -- VI. Types of Algebras -- 1. Algebras by Diagrams
-- 2. Graded Modules -- 3. Graded Algebras -- 4. Tensor Products of Algebras -- 5. Modules over Algebras -- 6. Cohomology of free Abelian Groups -- 7. Differential Graded Algebras -- 8. Identities on Horn and ? -- 9. Coalgebras and
HOPF Algebras -- VII. Dimension -- 1. Homological Dimension -- 2. Dimensions in Polynomial Rings -- 3. Ext and Tor for Algebras -- 4. Global Dimensions of Polynomial Rings -- 5. Separable Algebras -- 6. Graded Syzygies -- 7. Local
Rings -- VIII. Products -- 1. Homology Products -- 2. The Torsion Product of Algebras -- 3. A Diagram Lemma -- 4. External Products for Ext -- 5. Simplicial Objects -- 6. Normalization -- 7. Acyclic Models -- 8. The EILENBERG-ZILBER
Theorem -- 9. Cup Products -- IX. Relative Homological Algebra -- 1. Additive Categories -- 2. Abelian Categories -- 3. Categories of Diagrams -- 4. Comparison of Allowable Resolutions -- 5. Relative Abelian Categories -- 6. Relative
Resolutions -- 7. The Categorical Bar Resolution -- 8. Relative Torsion Products -- 9. Direct Products of Rings -- X. Cohomology of Algebraic Systems -- 1. Introduction -- 2. The Bar Resolution for Algebras -- 3. The Cohomology of an
Algebra -- 4. The Homology of an Algebra -- 5. Homology of Groups and Monoids -- 6. Ground Ring Extensions and Direct Products -- 7. Homology of Tensor Products -- 8. The Case of Graded Algebras -- 9. Complexes of Complexes -- 10.
Resolutions and Constructions -- 11. Two-stage Cohomology of DGA-Algebras -- 12. Cohomology of Commutative DGA-Algebras -- 13. Homology of Algebraic Systems -- XI. Spectral Sequences -- 1. Spectral Sequences -- 2. Fiber Spaces -- 3.
Filtered Modules -- 4. Transgression -- 5. Exact Couples -- 6. Bicomplexes -- 7. The Spectral Sequence of a Covering -- 8. Cohomology Spectral Sequences -- 9. Restriction, Inflation, and Connection -- 10. The Lyndon Spectral Sequence
-- 11. The Comparison Theorem -- XII. Derived Functors -- 1. Squares -- 2. Subobjects and Quotient Objects -- 3. Diagram Chasing -- 4. Proper Exact Sequences -- 5. Ext without Projectives -- 6. The Category of Short Exact Sequences --
7. Connected Pairs of Additive Functors -- 8. Connected Sequences of Functors -- 9. Derived Functors -- 10. Products by Universality -- 11. Proper Projective Complexes -- 12. The Spectral KÜNNETH Formula -- List of Standard Symbols
ISBN:9783642620294
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Classics in Mathematics: 114
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , Mathematics , Category Theory, Homological Algebra
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Call number:SPRINGER-1995-9781461253501:ONLINE Show nearby items on shelf
Title:Commutative Algebra with a View Toward Algebraic Geometry
Author(s): David Eisenbud
Date:1995
Size:1 online resource (788 p.)
Note:10.1007/978-1-4612-5350-1
Contents:Advice for the Beginner -- Information for the Expert -- Prerequisites -- Sources -- Courses -- Acknowledgements -- 0 Elementary Definitions -- 0.1 Rings and Ideals -- 0.2 Unique Factorization -- 0.3 Modules -- I Basic Constructions
-- 1 Roots of Commutative Algebra -- 2 Localization -- 3 Associated Primes and Primary Decomposition -- 4 Integral Dependence and the Nullstellensatz -- 5 Filtrations and the Artin-Rees Lemma -- 6 Flat Families -- 7 Completions and
Hensel’s Lemma -- II Dimension Theory -- 8 Introduction to Dimension Theory -- 9 Fundamental Definitions of Dimension Theory -- 10 The Principal Ideal Theorem and Systems of Parameters -- 11 Dimension and Codimension One -- 12
Dimension and Hilbert-Samuel Polynomials -- 13 The Dimension of Affine Rings -- 14 Elimination Theory, Generic Freeness, and the Dimension of Fibers -- 15Gröbner Bases -- 16 Modules of Differentials -- III Homological Methods -- 17
Regular Sequences and the Koszul Complex -- 18 Depth, Codimension, and Cohen-Macaulay Rings -- 19 Homological Theory of Regular Local Rings -- 20 Free Resolutions and Fitting Invariants -- 21 Duality, Canonical Modules, and Gorenstein
Rings -- Appendix 1 Field Theory -- A1.1 Transcendence Degree -- A1.2 Separability -- A1.3.1 Exercises -- Appendix 2 Multilinear Algebra -- A2.1 Introduction -- A2.2 Tensor Product -- A2.3 Symmetric and Exterior Algebras -- A2.3.1
Bases -- A2.3.2 Exercises -- A2.4 Coalgebra Structures and Divided Powers -- A2.5 Schur Functors -- A2.5.1 Exercises -- A2.6 Complexes Constructed by Multilinear Algebra -- A2.6.1 Strands of the Koszul Comple -- A2.6.2 Exercises --
Appendix 3 Homological Algebra -- A3.1 Introduction -- I: Resolutions and Derived Functors -- A3.2 Free and Projective Modules -- A3.3 Free and Projective Resolutions -- A3.4 Injective Modules and Resolutions -- A3.4.1 Exercises --
Injective Envelopes -- Injective Modules over Noetherian Rings -- A3.5 Basic Constructions with Complexes -- A3.5.1 Notation and Definitions -- A3.6 Maps and Homotopies of Complexes -- A3.7 Exact Sequences of Complexes -- A3.7.1
Exercises -- A3.8 The Long Exact Sequence in Homology -- A3.8.1 Exercises -- Diagrams and Syzygies -- A3.9 Derived Functors -- A3.9.1 Exercise on Derived Functors -- A3.10 Tor -- A3.10.1 Exercises: Tor -- A3.1l Ext -- A3.11.1
Exercises: Ext -- A3.11.2 Local Cohomology -- II: From Mapping Cones to Spectral Sequences -- A3.12 The Mapping Cone and Double Complexe -- A3.12.1 Exercises: Mapping Cones and Double Complexes -- A3.13 Spectral Sequences -- A3.13.1
Mapping Cones Revisited -- A3.13.2 Exact Couples -- A3.13.3 Filtered Differential Modules and Complexes -- A3.13.4 The Spectral Sequence of a Double Complex -- A3.13.5 Exact Sequence of Terms of Low Degree -- A3.13.6 Exercises on
Spectral Sequences -- A3.14 Derived Categories -- A3.14.1 Step One: The Homotopy Category of Complexes -- A3.14.2 Step Two: The Derived Category -- A3.14.3 Exercises on the Derived Category -- Appendix 4 A Sketch of Local Cohomology --
A4.1 Local Cohomology and Global Cohomology -- A4.2 Local Duality -- A4.3 Depth and Dimensio -- Appendix 5 Category Theory -- A5.1 Categories, Functors, and Natural Transformations -- A5.2 Adjoint Functors -- A5.2.1 Uniqueness --
A5.2.2 Some Examples -- A5.2.3 Another Characterization of Adjoints -- A5.2.4 Adjoints and Limits -- A5.3 Representable Functors and Yoneda's Lemma -- Appendix 6 Limits and Colimits -- A6.1 Colimits in the Category of Modules -- A6.2
Flat Modules as Colimits of Free Modules -- A6.3 Colimits in the Category of Commutative Algebras -- A6.4 Exercises -- Appendix 7 Where Next? -- References -- Index of Notation
ISBN:9781461253501
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Graduate Texts in Mathematics: 150
Keywords: Mathematics , Algebraic geometry , Mathematics , Algebraic Geometry
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Call number:SPRINGER-1994-9789401108201:ONLINE Show nearby items on shelf
Title:Universal Algebra, Algebraic Logic, and Databases
Author(s): B Plotkin
Date:1994
Size:1 online resource (438 p.)
Note:10.1007/978-94-011-0820-1
Contents:0 General View on Objectives and Contents of The Book -- I Universal Algebra -- 1 Sets, Algebras, Models -- 2 Fundamental Structures -- 3 Categories -- 4 The Category of Sets. Topoi. Fuzzy Sets -- 5 Varieties of Algebras.
Axiomatizable Classes -- 6 Category Algebra and Algebraic Theories -- II Algebraic Logic -- 7 Boolean Algebras and Propositional Calculus -- 8 Halmos Algebras and Predicate Calculus -- 9 Specialized Halmos Algebras -- 10 Connections
With Model Theory -- 11 The Categorial Approach to Algebraic Logic -- III Databases — Algebraic Aspects -- 12 Algebraic Model of a Database -- 13 Equivalence and Reorganization of Databases -- 14 Symmetries of Relations and Galois
Theory of Databases -- 15 Constructions in Database Theory -- 16 Discussion and Conclusion
ISBN:9789401108201
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 272
Keywords: Mathematics , Artificial intelligence , Category theory (Mathematics) , Homological algebra , Group theory , Mathematical logic , Mathematics , Mathematical Logic and Foundations , Artificial Intelligence (incl. Robotics) , Category Theory, Homological Algebra , Group Theory and Generalizations
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Call number:SPRINGER-1993-9789401707176:ONLINE Show nearby items on shelf
Title:Analytic D-Modules and Applications
Author(s): Jan-Erik Björk
Date:1993
Size:1 online resource (581 p.)
Note:10.1007/978-94-017-0717-6
Contents:I. The sheaf DX and its modules -- II. Operations on D-modules -- III. Holonomic D-modules -- IV. Deligne modules -- V. Regular holonomic D-modules -- VI. b-functions -- VII. Distributions and regular holonomic systems -- VIII.
Microdifferential operators -- A:I Derived Categories -- Summary -- A:I.1 The construction of derived categories -- A:I.2. Properties of derived categories -- A:I.3. Injective resolutions -- A:I.4. Spectral sequences -- A:II Sheaf
Theory -- Summary -- A:II.1. The category of sheaves -- A:II.2. Operations on sheaves -- A:II.3. The derived category of sheaves -- A:II.4. Flabby sheaves -- A:II.5. Sheaves on paracompact manifolds -- A:II.6. Ringed spaces -- A:II.7.
Derived categories of modules -- A:III Filtered rings -- Summary -- A:III.1. Filtered rings -- A:III.2. Filtered sheaves of rings -- A:III.3. Gabber’s Theorem -- A:IV Homological algebra -- Summary -- A:IV.1. Basic facts in homological
algebra -- A:IV.2. Auslander regular rings -- A:IV.3. Commutative algebra -- A:IV.4. Filtered Auslander regular rings -- A:V Complex analysis -- Summary -- A:V.2. Analysis on complex manifolds -- A:V.4. The local Milnor fibrations --
A:VI Analytic geometry -- Summary -- A:VI.1. Subanalytic sets -- A:VII Symplectic analysis -- Summary -- A:VII.1. Symplectic algebra -- A:VII:3. Lagrangian varieties -- A:VII.4. Lagrangian varieties in generic position -- References --
List of notations
ISBN:9789401707176
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 247
Keywords: Mathematics , Global analysis (Mathematics) , Manifolds (Mathematics) , Mathematics , Global Analysis and Analysis on Manifolds
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Call number:SPRINGER-1993-9780817647315:ONLINE Show nearby items on shelf
Title:Loop Spaces, Characteristic Classes and Geometric Quantization
Author(s): Jean-Luc Brylinski
Date:1993
Publisher:Boston, MA : Birkhäuser Boston
Size:1 online resource (302 p.)
Note:10.1007/978-0-8176-4731-5
Contents:Complexes of Sheaves and their Hypercohomology -- Line Bundles and Central Extensions -- Kähler Geometry of the Space of Knots -- Degree 3 Cohomology: The Dixmier-Douady Theory -- Degree 3 Cohomology: Sheaves of Groupoids -- Line
Bundles over Loop Spaces -- The Dirac Monopole
ISBN:9780817647315
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebra , Category theory (Mathematics) , Homological algebra , Differential geometry , Topology , Mathematics , Differential Geometry , Algebra , Topology , Category Theory, Homological Algebra
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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-1992-9783540467861:ONLINE Show nearby items on shelf
Title:Complex Algebraic Varieties Proceedings of a Conference held in Bayreuth, Germany, April 2–6, 1990
Author(s):
Date:1992
Size:1 online resource (179 p.)
Note:10.1007/BFb0094506
Contents:Annulation du H1 pour les fibrés en droites plats -- Results on varieties with many lines and their applications to adjunction theory -- The stability of certain vector bundles on ? n -- Vector bundles, linear systems and extensions
of ?1 -- Vers une stratification de l’espace des modules des varietes abeliennes principalement polarisees -- Singular hermitian metrics on positive line bundles -- On adjoint bundles of ample vector bundles -- Moderate degenerations
of algebraic surfaces -- Genus two fibrations revisited -- Numerically effective vector bundles with small Chern classes -- On the rank of non-rigid period maps in the weight one and two case -- The geometry of the special components
of moduli space of vector bundles over algebraic surfaces of general type
ISBN:9783540467861
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1507
Keywords: Mathematics , Algebraic geometry , Category theory (Mathematics) , Homological algebra , Differential geometry , Mathematics , Category Theory, Homological Algebra , Algebraic Geometry , Differential Geometry
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Call number:SPRINGER-1992-9783540467724:ONLINE Show nearby items on shelf
Title:Algebraic Topology Homotopy and Group Cohomology Proceedings of the 1990 Barcelona Conference on Algebraic Topology, held in S. Feliu de Guíxols, Spain, June 6–12, 1990
Author(s):
Date:1992
Size:1 online resource (334 p.)
Note:10.1007/BFb0087495
Contents:On the geometry and cohomology of finite simple groups -- Resolutions and Poincaré duality for finite groups -- Groups and spaces with all localizations trivial -- More examples of non-cancellation in homotopy -- On sub-A*p-algebras
of H*V -- The classification of 3-manifolds with spines related to Fibonacci groups -- Algorithm for the computation of the cohomology of ?-groups -- Remarks on the homotopy theory associated to perfect groups -- Homotopy localization
and V 1-periodic spaces -- The modulo 2 cohomology algebra of the wreath product ???X -- Lannes' division functors on summands of H*(B(Z/p)r) -- Classes homotopiques associees a une G-operation -- A note on the Brauer lift map --
Categorical models of N-types for pro-crossed complexes and ?n-prospaces -- Morava K-theories of classifying spaces and generalized characters for finite groups -- Classifying spaces of compact simple lie groups and p-tori -- On
parametrized Borsuk-Ulam theorem for free Z p -action -- Réalisation topologique de certaines algèbres associées aux algèbres de Dickson / Topological realisation of certain algebras associated to the Dickson algebras -- Normalized
operations in cohomology -- Concise tables of James numbers and some homotopy of classical Lie groups and associated homogeneous spaces -- An example of a stable splitting: The classifying space of the 4-dim unipotent group -- On the
homotopy uniqueness of BU(2) at the prime 2 -- On infinite dimensional spaces that are rationally equivalent to a Bouquet of spheres -- Cohomologically central elements and fusion in groups -- Rational homotopy of the space of homotopy
equivalences of a flag manifold -- Rational cohomology and homotopy of spaces with circle action -- On the action of steenrod powers on polynomial algebras
ISBN:9783540467724
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1509
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , Algebraic topology , Mathematics , Algebraic Topology , Category Theory, Homological Algebra
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Call number:SPRINGER-1991-9783540384946:ONLINE Show nearby items on shelf
Title:Homology of Locally Semialgebraic Spaces
Author(s): Hans Delfs
Date:1991
Size:1 online resource (138 p.)
Note:10.1007/BFb0093939
Contents:Abstract locally semialgebraic spaces -- Sheaf theory on locally semialgebraic spaces -- Semialgebraic Borel-Moore-homology -- Some intersection theory
ISBN:9783540384946
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1484
Keywords: Mathematics , Algebraic geometry , Category theory (Mathematics) , Homological algebra , Topology , Algebraic topology , Mathematics , Category Theory, Homological Algebra , Algebraic Topology , Algebraic Geometry , Topology
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Call number:SPRINGER-1991-9781461204497:ONLINE Show nearby items on shelf
Title:Elements of KK-Theory
Author(s): Kjeld Knudsen Jensen
Date:1991
Size:1 online resource (202 p.)
Note:10.1007/978-1-4612-0449-7
Contents:1. Hilbert C*- Modules -- § 1.1. Hilbert C*-Modules and Multiplier Algebras -- § 1.2. Constructions with Hilbert B-Modules -- § 1.3. Stable C*-Algebras -- 2. The Kasparov Approach to KK-Theory -- § 2.1. The KK-Groups -- § 2.2. The
Kasparov Product -- 3. C*-Extensions -- § 3.1. The Busby Invariant -- § 3.2. The Extension Groups -- § 3.3. Connections to KK-Theory -- 4. The Kasparov Groups for Ungraded C*-Algebras -- § 4.1. From Hilbert C*-Modules to
*-Homomorphisms -- § 4.2. Split-Exactness of KKh -- § 4.3. The Kasparov Product as a Generalization of Composition of *-Homomorphisms -- 5. Cuntz’s Picture of KK-Theory -- § 5.1. qA -- § 5.2. KKc(A, B) ? KKo(A, B) -- References
ISBN:9781461204497
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebra , Category theory (Mathematics) , Homological algebra , K-theory , Mathematics , K-Theory , Category Theory, Homological Algebra , Algebra
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Call number:SPRINGER-1990-9783540471622:ONLINE Show nearby items on shelf
Title:K-theory and Homological Algebra A Seminar held at the Razmadze Mathematical Institute in Tbilisi, Georgia, USSR 1987–88
Author(s):
Date:1990
Size:1 online resource (320 p.)
Note:10.1007/BFb0086716
Contents:Homological dimension of extensions of abelian categories and rings -- Classical algebraic K-theory of monid algebras -- K-theory of special normed rings -- Cohomology and extensions of internal modules -- Coefficients for cohomology
of large categories -- K-theory of ?2-graded Banach categories. I -- On Quillen's + construction of perfect groups -- Cohomology of small categories in homotopical algebra -- U-theory of exact categories
ISBN:9783540471622
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1437
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , K-theory , Mathematics , Mathematics , K-Theory , Category Theory, Homological Algebra , Mathematics Education
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Call number:SPRINGER-1990-9780817649777:ONLINE Show nearby items on shelf
Title:Divisor Theory
Author(s): Harold M Edwards
Date:1990
Size:1 online resource (166 p.)
Note:10.1007/978-0-8176-4977-7
Contents:0. A Theorem of Polynomial Algebra -- 1. The General Theory -- 2. Applications to Algebraic Number Theory -- 3. Applications to the Theory of Algebraic Curves -- References
ISBN:9780817649777
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebra , Category theory (Mathematics) , Homological algebra , Mathematics , Category Theory, Homological Algebra , Algebra
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Call number:SPRINGER-1990-9780817645762:ONLINE Show nearby items on shelf
Title:The Grothendieck Festschrift A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck
Author(s):
Date:1990
Size:1 online resource (495 p.)
Note:10.1007/978-0-8176-4576-2
Contents:Anneau de Grothendieck de la variété de drapeaux -- New Results on Weight-Two Motivic Cohomology -- Symmetric Spaces over a Finite Field -- Le théorème de positivité de l’irrégularité pour les -modules -- The Convergent Topos in
Characteristic p -- Finiteness Theorems and Hyperbolic Manifolds -- p-groupes et réduction semi-stable des courbes -- Drawing Curves Over Number Fields -- Sur les propriétés numériques du dualisant relatif d’une surface arithméthique
-- Higher Algebraic K-Theory of Schemes and of Derived Categories -- Solitons elliptiques -- Linear Simple Lie Algebras and Ranks of Operators
ISBN:9780817645762
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics: 88
Keywords: Mathematics , Algebraic geometry , Category theory (Mathematics) , Homological algebra , K-theory , Functional analysis , Number theory , Algebraic topology , Mathematics , Algebraic Geometry , Functional Analysis , Algebraic Topology , Number Theory , Category Theory, Homological Algebra , K-Theory
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Call number:SPRINGER-1990-9780817645755:ONLINE Show nearby items on shelf
Title:The Grothendieck Festschrift A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck
Author(s):
Date:1990
Publisher:Boston, MA : Birkhäuser Boston
Size:1 online resource (564 p.)
Note:10.1007/978-0-8176-4575-5
Contents:Une nouvelle interprétation de la formule des traces de Selberg -- Jacobiennes généralisées globales relatives -- Catégories tannakiennes -- On The Adic Formalism -- F-Isocrystals on Open Varieties Results and Conjectures --
Représentations p-adiques des corps locaux (1ère partie) -- Rectified Homotopical Depth and Grothendieck Conjectures -- Automorphisms of Pure Sphere Braid Groups and Galois Representations -- Ordinarité des intersections complètes
générates -- Kazhdan-Lusztig Conjecture for A Symmetrizable Kac-Moody Lie Algebra -- Euler Systems -- Descent for Transfer Factors
ISBN:9780817645755
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebraic geometry , Category theory (Mathematics) , Homological algebra , K-theory , Functional analysis , Number theory , Algebraic topology , Mathematics , Algebraic Geometry , Functional Analysis , Algebraic Topology , Number Theory , Category Theory, Homological Algebra , K-Theory
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Call number:SPRINGER-1989-9789400923546:ONLINE Show nearby items on shelf
Title:The Homology of Banach and Topological Algebras
Author(s): A. Ya Helemskii
Date:1989
Size:1 online resource (334 p.)
Note:10.1007/978-94-009-2354-6
Contents:One, Preparatory -- 0. Algebras, Modules, Complexes -- I. Cohomology Groups and Problems Giving Rise to Them -- II. Tensor Product -- Two, Basic -- III. Homological Concepts (General Properties) -- IV. Projectivity -- V. Resolutions
and Dimensions -- VI. Multi-Operational Holomorphic Calculus on the Taylor Spectrum -- VII. Flatness and Amenability -- Appendix A. Paracompact topological spaces -- Appendix B. Invariant means on locally compact groups -- Postscript
-- §1. Extensions and derivations -- §2. Normal cohomology and its expression in terms of Ext -- §4. An interpretation of amenability-according-to-Connes in terms of the diagonal and reduced bifunctionals -- §5. “General homological”
background to amenability according to Connes -- §6. Central contractibility (= central separability) and central cohomology -- §7. Homological dimensions. Results of a general character and results connected with the geometry of
Banach spaces -- §8. Homological dimensions (continued). Algebras of smooth functions and some radical algebras -- §10. Homological dimensions (concluded). Connections with the question of an analytic structure on the spectrum -- §11.
Miscellaneous results about the homological invariants of operator algebras and their modules -- §12. Completely bounded cohomology and its applications -- §13. Weakly amenable Banach algebras and various conditions for “ordinary” and
weak amenability -- §15. Some remarks about the development (and metamorphosis) of the problems of a multi-operator holomorphic calculus -- References -- Postscript references -- Index of terminology -- Index of notation and
abbreviations
ISBN:9789400923546
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and its Applications, Soviet Series: 41
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , Functional analysis , Algebraic topology , Mathematics , Functional Analysis , Category Theory, Homological Algebra , Algebraic Topology
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Call number:SPRINGER-1989-9783540461609:ONLINE Show nearby items on shelf
Title:Algebraic Topology Proceedings of an International Conference held in Arcata, California, July 27 – August 2, 1986
Author(s):
Date:1989
Size:1 online resource (462 p.)
Note:10.1007/BFb0085212
Contents:Topology: past, present and future -- The work of Edgar H. Brown, Jr. in Topology -- Homology representations of finite transformation groups -- Homotopy exponents for spaces of category two -- On the complex bordism of classifying
spaces -- On equivariant maps and immersions of real projective spaces -- Cogroups which are not suspensions -- Instantons and homotopy -- On real homotopy theory -- Some remarks on the space Im J -- A new spectrum related to
7-connected cobordism -- Aspherical manifolds without smooth or PL structure -- Homology with simplicial coefficients -- On the double suspension -- A whitehead product for track groups -- Minimal atlases of real projective spaces --
Higher homotopy associativity -- Homotopy approximations for classifying spaces of compact lie groups -- Cyclic homology and characteristic classes of bundles with additional structures -- Morava K-theories and infinite loop spaces --
Lie groups from a homotopy point of view -- Order of the identity map of the Brown-Gitler spectrum -- Topology of the intersection of quadrics in ?2 -- Orientations for Poincaré duality spaces and applications -- A double coset formula
for levi subgroups and splitting BGL n -- Browder-Fröhlich symbols -- K-theory homology of spaces -- Stirling and Bernoulli numbers for complex oriented homology theory -- Composition products in RHom, and ring spectra of derived
endomorphisms -- Convexity and root closure in negatively curved manifolds -- Cohomology of finite groups and brown-peterson cohomology -- The artin-hasse logarithm for ?-rings -- Higher cohomology operations that detect homotopy
classes -- Problem session for homotopy theory -- H-spaces -- K and L-theory -- Manifolds & bordism -- Transformation groups
ISBN:9783540461609
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1370
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , Algebraic topology , Mathematics , Algebraic Topology , Category Theory, Homological Algebra
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Call number:SPRINGER-1988-9789401577762:ONLINE Show nearby items on shelf
Title:Categories, Bundles and Spacetime Topology
Author(s): C. T. J Dodson
Date:1988
Edition:Second, Revised Enlarged Edition
Size:1 online resource (243 p.)
Note:10.1007/978-94-015-7776-2
Contents:I. Preliminaries -- II. Naive Category Theory -- III. Existence of Limiting Topologies -- IV. Manifolds and Bundles -- V. Spacetime Structure -- Supplementary Bibliography
ISBN:9789401577762
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 45
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , Geometry , Physics , Mathematics , Geometry , Category Theory, Homological Algebra , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1988-9789400928596:ONLINE Show nearby items on shelf
Title:Theory of Topological Structures An Approach to Categorical Topology
Author(s): Gerhard Preuss
Date:1988
Size:1 online resource (304 p.)
Note:10.1007/978-94-009-2859-6
Contents:0. Preliminaries -- 0.1 Conglomerates, classes and sets -- 0.2 Some categorical concepts -- 0.3 Uniform structures -- 1. Topological categories -- 1.1 Definitions and examples -- 1.2 Special categorical properties of topological
categories -- 1.3 Relative connectednesses and disconnectednesses in topological categories -- 2. Reflective and coreflective subcategories -- 2.1 Universal maps and adjoint functors -- 2.2 Definitions and characterization theorems of
E-reflective and M-coreflective subcategories -- 2.3 E-reflective and M-coreflective hulls -- 2.4 Reflectors as composition of epireflectors -- 3. Relations between special topological categories -- 3.1 The category Near and its
subcategories -- 3.2 The category P-Near and its subcategories -- 4. Cartesian closed topological categories -- 4.1 Definitions and equivalent characterizations -- 4.2 Examples -- 5. Topological functors -- 5.1 Factorization structures
-- 5.2 Definitions and properties of topological functors -- 5.3 Initially structured categories -- 6. Completions -- 6.1 Initial and final completions -- 6.2 Completion of nearness spaces -- 7. Cohomology and dimension of nearness
spaces -- 7.1 Cohomology theories for nearness spaces -- 7.2 Normality and dimension of nearness spaces -- 7.3 A cohomological characterization of dimension -- Appendix. Representable functors -- Exercises
ISBN:9789400928596
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 39
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , Mathematics , Category Theory, Homological Algebra
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Call number:SPRINGER-1987-9789400938397:ONLINE Show nearby items on shelf
Title:Semigroups and Their Applications Proceedings of the International Conference “Algebraic Theory of Semigroups and Its Applications” held at the California State University, Chico, April 10–12, 1986
Author(s):
Date:1987
Size:1 online resource (211 p.)
Note:10.1007/978-94-009-3839-7
Contents:Implicit operations on certain classes of semigroups -- Finite idempotent-commuting semigroups -- Finite semigroups whose idempotents commute or form a subsemigroup -- Inverse semigroups with countable universal semilattices -- The
identity element in inverse semigroup algebras -- Free bands and free *-bands -- Finite inverse semigroups and amalgamation -- Rank properties in semigroups of mappings -- Inverse semigroups whose lattices of full inverse subsemigroups
are modular -- Basis properties, exchange properties and embeddings in idempotent-free semigroups -- Lattices of torsion theories for semi-automata -- The countability indices of certain transformation semigroups -- Some decision
problems for inverse monoid presentations -- A class of inverse semigroup algebras -- Categorical extension theory — revisited -- A class of uniform chains -- Cayley theorems for semigroups -- Power semigroups and related varieties of
finite semigroups -- On the lattice of varieties of completely regular semigroups -- New techniques in global semigroup theory -- Finite J-trivial monoids and partially ordered monoids -- On the recent results in the study of power
semigroups -- Type II redux
ISBN:9789400938397
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computers , Algebra , Category theory (Mathematics) , Homological algebra , Mathematics , Category Theory, Homological Algebra , Theory of Computation , Algebra
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Call number:SPRINGER-1987-9783540480167:ONLINE Show nearby items on shelf
Title:K-Theory, Arithmetic and Geometry Seminar, Moscow University, 1984–1986
Author(s):
Date:1987
Size:1 online resource (404 p.)
Note:10.1007/BFb0078363
Contents:Height pairing between algebraic cycles -- On the derived category of perverse sheaves -- How to glue perverse sheaves -- Sheaves of the Virasoro and Neveu-Schwarz algebras -- Additive K-theory -- Cyclic homology of algebras with
quadratic relations, universal enveloping algebras and group algebras -- On homotopy limit of homotopy algebras -- On the delooping of Chern character and Adams operations -- Noncommutative residue Chapter I. Fundamentals
ISBN:9783540480167
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1289
Keywords: Mathematics , Algebraic geometry , Category theory (Mathematics) , Homological algebra , Algebraic topology , Mathematics , Algebraic Topology , Category Theory, Homological Algebra , Algebraic Geometry
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Call number:SPRINGER-1986-9783642827839:ONLINE Show nearby items on shelf
Title:Cohomology of Sheaves
Author(s): Birger Iversen
Date:1986
Size:1 online resource (464 p.)
Note:10.1007/978-3-642-82783-9
Contents:I. Homological Algebra -- 1. Exact categories -- 2. Homology of complexes -- 3. Additive categories -- 4. Homotopy theory of complexes -- 5. Abelian categories -- 6. Injective resolutions -- 7. Right derived functors -- 8. Composition
products -- 9. Resume of the projective case -- 10. Complexes of free abelian groups -- 11. Sign rules -- II. Sheaf Theory -- 0. Direct limits of abelian groups -- 1. Presheaves and sheaves -- 2. Localization -- 3. Cohomology of
sheaves -- 4. Direct and inverse image of sheaves. f*,f* -- 5. Continuous maps and cohomology!, -- 6. Locally closed subspaces, h!h -- 7. Cup products -- 8. Tensor product of sheaves -- 9. Local cohomology -- 10. Cross products -- 11.
Flat sheaves -- 12. Hom(E,F) -- III. Cohomology with Compact Support -- 1. Locally compact spaces -- 2. Soft sheaves -- 3. Soft sheaves on $$\mathbb {R}$$n -- 4. The exponential sequence -- 5. Cohomology of direct limits -- 6. Proper
base change and proper homotopy -- 7. Locally closed subspaces -- 8. Cohomology of the n-sphere -- 9. Dimension of locally compact spaces -- 10. Wilder’s finiteness theorem -- IV. Cohomology and Analysis -- 1. Homotopy invariance of
sheaf cohomology -- 2. Locally compact spaces, countable at infinity -- 3. Complex logarithms -- 4. Complex curve integrals. The monodromy theorem -- 5. The inhomogenous Cauchy-Riemann equations -- 6. Existence theorems for analytic
functions -- 7. De Rham theorem -- 8. Relative cohomology -- 9. Classification of locally constant sheaves -- V. Duality with Coefficient in a Field -- 1. Sheaves of linear forms -- 2. Verdier duality -- 3. Orientation of topological
manifolds -- 4. Submanifolds of $$\mathbb {R}$$n of codimension 1 -- 5. Duality for a subspace -- 6. Alexander duality -- 7. Residue theorem for n-1 forms on $$\mathbb {R}$$n -- VI. Poincare Duality with General Coefficients -- 1.
Verdier duality -- 2. The dualizing complex D -- 3. Lefschetz duality -- 4. Algebraic duality -- 5. Universal coefficients -- 6. Alexander duality -- VII. Direct Image with Proper Support -- 1. The functor f! -- 2. The Künneth formula
-- 3. Global form of Verdier duality -- 4. Covering spaces -- 5. Local form of Verdier duality -- VIII. Characteristic Classes -- 1. Local duality -- 2. Thom class -- 3. Oriented microbundles -- 4. Cohomology of real projective space
-- 5. Stiefel-Whitney classes -- 6. Chern classes -- 7. Pontrjagin classes -- IX. Borel Moore Homology -- 1. Proper homotopy invariance -- 2. Restriction maps -- 3. Cap products -- 4. Poincare duality -- 5. Cross products and the
Künneth formula -- 6. Diagonal class of an oriented manifold -- 7. Gysin maps -- 8. Lefschetz fixed point formula -- 9. Wu’s formula -- 10. Preservation of numbers -- 11. Trace maps in homology -- X. Application to Algebraic Geometry
-- 1. Dimension of algebraic varieties -- 2. The cohomology class of a subvariety -- 3. Homology class of a subvariety -- 4. Intersection theory -- 5. Algebraic families of cycles -- 6. Algebraic cycles and Chern classes -- XI. Derived
Categories -- 1. Categories of fractions -- 2. The derived category D (A) -- 3. Triangles associated to an exact sequence -- 4. Yoneda extensions -- 5. Octahedra -- 6. Localization
ISBN:9783642827839
Series:eBooks
Series:SpringerLink (Online service)
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Keywords: Mathematics , Algebraic topology , Mathematics , Algebraic Topology
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Call number:SPRINGER-1986-9783540397762:ONLINE Show nearby items on shelf
Title:Representation Theory I Finite Dimensional Algebras Proceedings of the Fourth International Conference on Representations of Algebras held in Ottawa, Canada, August 16–25, 1984
Author(s):
Date:1986
Size:1 online resource (341 p.)
Note:10.1007/BFb0075254
Contents:Homological properties of wild hereditary artin algebras -- A combinatorial characterisation of finite Auslander-Reiten quivers -- On a theorem of nazarova and roiter -- Hochschild homology of an algebra whose quiver has no oriented
cycles -- Simply connected algebras of tree-class A n and D n -- Galois coverings of algebras by locally support-finite categories -- The representation-finite algebras with at most 3 simple modules -- Algorithms in representation
theory of algebras -- Krull dimension and artin algebras -- The derived category of a tubular algebra -- A numerical characterization of finite Auslander-Reiten quivers -- Curve singularities arising from the representation theory of
tame hereditary algebras -- Artin algebras which are equivalent to a hereditary algebra modulo preprojectives -- Zero relation algebras with oriented cycles of non invertible morphisms -- The norm of a relation -- Selfinjective
algebras and tilting theory -- Applications of reflection functors for selfinjective algebras -- Preinjective components of trees -- On indecomposables in preprojective components -- Representation theory I — Finite dimensional
algebras
ISBN:9783540397762
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1177
Keywords: Mathematics , Algebra , Mathematics , Algebra
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Call number:SPRINGER-1985-9783642616655:ONLINE Show nearby items on shelf
Title:Microdifferential Systems in the Complex Domain
Author(s): Pierre Schapira
Date:1985
Size:1 online resource (216 p.)
Note:10.1007/978-3-642-61665-5
Contents:I. Microdifferential Operators -- Summary -- § 1. Construction of the Ring ?x -- Exercises -- § 2. Division Theorems -- Exercises -- § 3. Refined Microdifferential Cauchy-Kowalewski Theorem -- Exercises -- § 4. Microdifferential
Modules Associated to a Submanifold -- Exercises -- § 5. Quantized Contact Transformations -- Exercises -- § 6. Systems with Simple Characteristics -- Exercises -- Notes -- II. ?X-modules -- Summary -- § 1. Filtered Rings and Modules
-- Exercises -- § 2. Structure of the Ring ?X -- Exercises -- § 3. Operations on ?X-modules -- Exercises -- Notes -- III. Cauchy Problem and Propagation -- Summary -- § 1. Microcharacteristic Varieties -- Exercises -- § 2. The Cauchy
Problem -- § 3. Propagation -- Exercises -- § 4. Constructibility -- Exercises -- Notes -- Appendices -- A. Symplectic Geometry -- A.1. Symplectic Vector Spaces -- A.2. Symplectic Manifolds -- A.3. Homogeneous Symplectic Structures --
A.4. Contact Transformations -- B. Homological Algebra -- B.1. Categories and Derived Functors -- B.2. Rings and Modules -- B.3. Graded Rings and Modules -- B.4 Koszul Complexes -- B.5. The Mittag-Leffler Condition -- C. Sheaves --
C.1. Presheaves and Sheaves -- C.2. Cohomology of Sheaves -- C.3. ?ech Cohomology -- C.4. An Extension Theorem -- C.5. Coherent Sheaves -- D.1. Support and Multiplicities -- D.2. Homological Dimension -- List of Notations and
Conversions
ISBN:9783642616655
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics: 269
Keywords: Mathematics , Algebraic geometry , Category theory (Mathematics) , Homological algebra , Mathematics , Category Theory, Homological Algebra , Algebraic Geometry
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Call number:SPRINGER-1979-9783540348504:ONLINE Show nearby items on shelf
Title:*-Autonomous Categories With an Appendix by Po-Hsiang Chu
Author(s): Michael Barr
Date:1979
Size:1 online resource (144 p.)
Note:10.1007/BFb0064579
Contents:Preliminaries -- Extensions of structure -- The category G. -- Examples
ISBN:9783540348504
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 752
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , Mathematics , Category Theory, Homological Algebra , Mathematics, general
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Call number:SPRINGER-1977-9783540359791:ONLINE Show nearby items on shelf
Title:Obstruction Theory on Homotopy Classification of Maps
Author(s): Hans J Baues
Date:1977
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource (388 p.)
Note:10.1007/BFb0065144
Contents:Conventions and notation -- Principal fibrations and cofibrations, obstructions and differences -- Relative principal cofibrations and fibrations -- Iterated principal cofibrations -- Obstruction theory for CW-complexes -- Postnikov
homotopy decomposition -- Iterated principal fibrations
ISBN:9783540359791
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 628
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , Mathematics , Category Theory, Homological Algebra
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Call number:SPRINGER-1976-9783540381037:ONLINE Show nearby items on shelf
Title:Čech and Steenrod Homotopy Theories with Applications to Geometric Topology
Author(s): David A Edwards
Date:1976
Size:1 online resource (300 p.)
Note:10.1007/BFb0081083
Contents:Background -- The model structure on pro-spaces -- The homotopy inverse limit and its applications to homological algebra -- The algebraic topology of pro-C -- Proper homotopy theory -- Group actions on infinite dimensional manifolds
-- Steenrod homotopy theory -- Some open questions
ISBN:9783540381037
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 542
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , Topology , Algebraic topology , Mathematics , Algebraic Topology , Topology , Category Theory, Homological Algebra
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Call number:SPRINGER-1976-9783540379645:ONLINE Show nearby items on shelf
Title:Algebraic K-Theory Proceedings of the Conference Held at Northwestern University Evanston, January 12–16, 1976
Author(s):
Date:1976
Size:1 online resource (414 p.)
Note:10.1007/BFb0079990
Contents:An example in the theory of algebraic cycles spencer bloch -- SK1 of commutative normed algebras -- The K-theory of some reducible affine curves: A combinatorial approach -- SKn of orders and Gn of finite rings -- K2 of a global field
consists of symbols -- Generators and relations for K2 of a division ring -- Injective stability for K2 -- Les matrices monomiales et le groupe de whitehead ?h2 -- Finitely presented groups of matrices -- Homology sphere bordism and
quillen plus construction -- Letter from Quillen to Milnor on -- Characteristic classes of representations -- Higher algebraic K-theory: II -- Continuous cohomology and p-adic K-theory -- Cohomology of groups -- On the homology and
cohomology of the orthogonal and symplectic groups over a finite field of odd characteristic -- Homology of classical groups over a finite field -- Group cohomology classes with differential form coefficients -- Stability for H2 (Sun)
-- Homological stability for classical groups over finite fields -- Hermitian K-theory in topology: A survey of some recent results -- Higher witt groups: A survey -- The exact sequence of a localization for witt groups -- Orthogonal
representations on positive definite lattices -- The computation of surgery groups of finite groups with abelian 2-hyperelementary subgroups
ISBN:9783540379645
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 551
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , Algebraic topology , Mathematics , Category Theory, Homological Algebra , Algebraic Topology
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Call number:SPRINGER-1973-9783642806346:ONLINE Show nearby items on shelf
Title:Algebra Rings, Modules and Categories I
Author(s): Carl Faith
Date:1973
Size:1 online resource (568 p.)
Note:10.1007/978-3-642-80634-6
Contents:to Volume -- Foreword on Set Theory -- I Introduction to the Operations: Monoid, Semigroup, Group, Category, Ring, and Module -- 1. Operations: Monoid, Semigroup, Group, and Category -- 2. Product and Coproduct -- 3. Ring and Module
-- 4. Correspondence Theorems for Projective Modules and the Structure of Simple Noetherian Rings -- 5. Limits, Adjoints, and Algebras -- 6. Abelian Categories -- II Structure of Noetherian Semiprime Rings -- 7. General Wedderburn
Theorems -- 8. Semisimple Modules and Homological Dimension -- 9. Noetherian Semiprime Rings -- 10. Orders in Semilocal Matrix Rings -- III Tensor Algebra -- 11. Tensor Products and Flat Modules -- 12. Morita Theorems and the Picard
Group -- 13. Algebras over Fields -- IV Structure of Abelian Categories -- 14. Grothendieck Categories -- 15. Quotient Categories and Localizing Functors -- 16. Torsion Theories, Radicals, and Idempotent, Topologizing, and
Multiplicative Sets
ISBN:9783642806346
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Die Grundlehren der mathematischen Wissenschaften, in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete: 190
Keywords: Mathematics , Algebra , Mathematics , Algebra
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Call number:SPRINGER-1969-9783540361404:ONLINE Show nearby items on shelf
Title:Category Theory, Homology Theory and Their Applications III Proceedings of the Conference held at the Seattle Research Center of the Battelle Memorial Institute, June 24–July, 19, 1968 Volume Three
Author(s):
Date:1969
Size:1 online resource (492 p.)
Note:10.1007/BFb0081959
Contents:Lectures on generalised cohomology -- On H-spaces and infinite loop spaces -- Functors between categories of vector spaces -- Natural vector bundles -- Several new concepts: Lucid and concordant functors, pre-limits, pre-completeness, the continuou s and concordant completions of categories -- The categorical comprehension scheme -- Non-abelian sheaf cohomology by derived functors -- Foncteurs derives et K-theorie -- Relative functorial semantics: Adjointness results -- Minimal subalgebras for dynam ic triples -- Categories of spectra and infinite loop spaces -- Homology of squares and factoring of diagrams
ISBN:9783540361404
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 99
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , Algebraic topology , Mathematics , Algebraic Topology , Mathematics, general , Category Theory, Homological Algebra
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Call number:SPRINGER-1969-9783540360919:ONLINE Show nearby items on shelf
Title:Seminar on Triples and Categorical Homology Theory ETH 1966/67
Author(s): H Appelgate
Date:1969
Size:1 online resource (406 p.)
Note:10.1007/BFb0083078
Contents:An outline of functorial semantics -- Applied functorial semantics, II -- Coequalizers in categories of algebras -- A triple theoretic construction of compact algebras -- Distributive laws -- Ordinal sums and equational doctrines -- Categories with models -- Homology and standard constructions -- Composite cotriples and derived functors -- Cohomology and obstructions: Commutative algebras -- On cotriple and andré (co)homology, their relationship with classical homological algebra
ISBN:9783540360919
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 80
Keywords: Mathematics , Algebra , Category theory (Mathematics) , Homological algebra , Mathematics , Algebra , Mathematics, general , Category Theory, Homological Algebra
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Call number:SPRINGER-1964-9783662159422:ONLINE Show nearby items on shelf
Title:Stable Homotopy Theory
Author(s): J. Frank Adams
Date:1964
Size:1 online resource (77 p.)
Note:10.1007/978-3-662-15942-2
Contents:1. Introduction -- 2. Primary operations. (Steenrod squares, Eilenberg-MacLane spaces, Milnor’s work on the Steenrod algebra.) -- 3. Stable homotopy theory. (Construction and properties of a category of stable objects.) -- 4. Applications of homo logical algebra to stable homotopy theory. (Spectral sequences, etc.) -- 5. Theorems of periodicity and approximation in homological algebra -- 6. Comments on prospective applications of 5, work in progress, etc
ISBN:9783662159422
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics, An informal series of special lectures, seminars and reports on mathematical topics: 3
Keywords: Mathematics , Topology , Mathematics , Topology
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