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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) |
Series: | Springer eBooks |
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) |
Series: | Springer eBooks |
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) |
Series: | Springer eBooks |
Keywords: | Mathematics , Algebraic topology , Mathematics , Algebraic Topology |
Availability: | Click here to see Library holdings or inquire at
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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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