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Mal`cev, Protomodular, Homological and Semi-Abelian Categories, Borceux Francis, Bourn Dominique


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Цена: 10284р.
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Склад Англия: 470 шт.  Склад Америка: 58 шт.  
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Автор: Borceux Francis, Bourn Dominique
Название:  Mal`cev, Protomodular, Homological and Semi-Abelian Categories
Издательство: Springer
Классификация:
Основы математики
Алгебра

ISBN: 1402019610
ISBN-13(EAN): 9781402019616
ISBN: 1-402-01961-0
ISBN-13(EAN): 978-1-402-01961-6
Обложка/Формат: Hardback
Страницы: 479
Вес: 1.92 кг.
Дата издания: 2004
Серия: Mathematics and Its Applications
Язык: ENG
Иллюстрации: 1, black & white illustrations
Размер: 25.20 x 16.15 x 2.64 cm
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
Рейтинг:
Поставляется из: Германии
Описание: The purpose of the book is to take stock of the situation concerning Algebra via Category Theory in the last fifteen years, where the new and synthetic notions of Malcev, protomodular, homological and semi-abelian categories emerged. These notions force attention on the fibration of points and allow a unified treatment of the main algebraic: homological lemmas, Noether isomorphisms, commutator theory. The book gives full importance to examples and makes strong connections with Universal Algebra. One of its aims is to allow appreciating how productive the essential categorical constraint is: knowing an object, not from inside via its elements, but from outside via its relations with its environment. The book is intended to be a powerful tool in the hands of researchers in category theory, homology theory and universal algebra, as well as a textbook for graduate courses on these topics.
Дополнительное описание: Формат: 240x160
Круг читателей: Researchers in category theory, homology theory and universal algebra
Ключевые слова:
Язык: eng
Оглавление: PrefaceMetatheorems0.1 The Yoneda embedding 0.2 Pointed categories 1 Intrinsic centrality 1.1 Spans and relations1.2 Unital categories 1.3 Cooperating and central morphisms 1.4 Commutative objects 1.5 Symmetrizable morphisrns 1.6 Regular unital categories 1.7 Associated abelian object 1.8 Strongly unital categories 1.9 Gregarious objects 1.10 Linear and additive categories 1.11 Antilinear and antiadditive categories 1.12 Complemented subobjects 2 Mal’cev categories 2.1 Slices, coslices and points 2.2 Mal’cev categories 2.3 Abelian objects in Mal’cev categories 2.4 Naturally Mal’cev categories 2.5 Regular Mal’cev categories 2.6 Connectors in Mal’cev categories 2.7 Connector and cooperator 2.8 Associated abelian object and commutator 2.9 Protoarithmetical categories 2.10 Antilinear Mal’cev categories 2.11 Abelian groupoids 3 Protomodular categories 3.1 Definition and examples 3.2 Normal subobjects 3.3 Couniversal property of the product 3.4 Groupoids, protomodularity and normality 4 Homological categories 4.1 The short five lemma 4.2 The nine lemma 4.3 The Noether isomorphism theorems 4.4 The snake lemma 4.5 The long exact homology sequence 4.6 Examples of homological categories 5 Semi-abelian categories 5.1 Definition and examples 5.2 Semi-direct products 5.3 Semi-associative Mal’cev varieties 6 Strongly protomodular categories 6.1 Centrality and normality 6.2 Normal subobjects in the fibres 6.3 Normal functors 6.4 Strongly protomodular categories 6.5 A counterexample 6.6 Connector and cooperator 7 Essentially affine categories 7.1 The fibration of points 7.2 Essentially affine categories 7.3 Abelian extensions Appendix A.1 Algebraic theories A.2 Internal relations A.3 Internal groupoids A.4 Variations on epimorphisms A.5 Regular and exact categories A.6 Monads A.7 Fibrations Classification table of the fibration of points Bibliography Index of symbols Index of definitions





Categories for the Working Mathematician

Автор: Mac Lane
Название: Categories for the Working Mathematician
ISBN: 0387984038 ISBN-13(EAN): 9780387984032
Издательство: Springer
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Цена: 5231 р.
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Описание: Describes the concepts of category, functor, natural transformation, and duality. This book focuses on adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits.

Categories and Commutative Algebra

Автор: Salmon
Название: Categories and Commutative Algebra
ISBN: 3642109780 ISBN-13(EAN): 9783642109782
Издательство: Springer
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Цена: 3268 р.
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Описание: L. Badescu: Sur certaines singularit?s des vari?t?s alg?briques.- D.A. Buchsbaum: Homological and commutative algebra.- S. Greco: Anelli Henseliani.- C. Lair: Morphismes et structures alg?briques.- B.A. Mitchell: Introduction to category theory and homological algebra.- R. Rivet: Anneaux de s?ries formelles et anneaux henseliens.- P. Salmon: Applicazioni della K-teoria all’algebra commutativa.- M. Tierney: Axiomatic sheaf theory: some constructions and applications.- C.B. Winters: An elementary lecture on algebraic spaces.

Module Categories of Analytic Groups

Автор: Magid
Название: Module Categories of Analytic Groups
ISBN: 052109027X ISBN-13(EAN): 9780521090278
Издательство: Cambridge Academ
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Цена: 2497 р.
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Описание: Professor Magid has written a complete account of the subject that is accessible to a wide audience.

Frobenius Categories versus Brauer Blocks

Автор: Lluis Puig
Название: Frobenius Categories versus Brauer Blocks
ISBN: 376439997X ISBN-13(EAN): 9783764399979
Издательство: Springer
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Цена: 11219 р.
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Описание: Introduces and develops the abstract setting of the Frobenius categories for an understanding of what was loosely called the local theory either of finite groups or of blocks, and for the purpose of an eventual classification.

Triangulated Categories

Автор: Holm
Название: Triangulated Categories
ISBN: 0521744318 ISBN-13(EAN): 9780521744317
Издательство: Cambridge Academ
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Цена: 5723 р.
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Описание: Over the last few decades triangulated categories have become increasingly important, to the extent that they can now be viewed as a unifying theory underlying major parts of modern mathematics. This 2010 collection of survey articles, written by leading experts, covers fundamental aspects of triangulated categories, as well as applications in algebraic geometry, representation theory, commutative algebra, microlocal analysis and algebraic topology. These self-contained articles are a useful introduction for graduate students entering the field and a valuable reference for experts.

Categories and Modules with K-Theory in View

Автор: Berrick
Название: Categories and Modules with K-Theory in View
ISBN: 0521632765 ISBN-13(EAN): 9780521632768
Издательство: Cambridge Academ
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Цена: 6245 р.
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Описание: This is a concise introduction at graduate level to ring theory, module theory and number theory.

Methods of Homological Algebra

Автор: Gelfand Sergei I., Manin Yuri I.
Название: Methods of Homological Algebra
ISBN: 3540435832 ISBN-13(EAN): 9783540435839
Издательство: Springer
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Цена: 9349 р.
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Описание: Homological algebra first arose as a language for describing topological prospects of geometrical objects. As with every successful language it quickly expanded its coverage and semantics, and its contemporary applications are many and diverse. This modern approach to homological algebra, by two leading writers in the field, is based on the systematic use of the language and ideas of derived categories and derived functors. Relations with standard cohomology theory (sheaf cohomology, spectral sequences, etc.) are described. In most cases complete proofs are given. Basic concepts and results of homotopical algebra are also presented. The book addresses people who want to learn a modern approach to homological algebra and to use it in their work. For the second edition the authors have made numerous corrections.

Exercises in Abelian Group Theory

Автор: Valcan
Название: Exercises in Abelian Group Theory
ISBN: 1402011830 ISBN-13(EAN): 9781402011832
Издательство: Springer
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Цена: 7199 р.
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Описание: Covers elementary results in Abelian Groups. This book covers many topics related to the theory. It offers exercises categorised according to their level of difficulty, simple, exercises of medium difficulty, difficult exercises, and their solutions. It is aimed at experts in the field as a reference to a large number of examples in Group Theory.

Rigidity in Higher Rank Abelian Group Actions

Автор: Katok
Название: Rigidity in Higher Rank Abelian Group Actions
ISBN: 0521879094 ISBN-13(EAN): 9780521879095
Издательство: Cambridge Academ
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Цена: 7286 р.
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Описание: Ideal for researchers in all aspects of dynamical systems and a useful introduction for graduate students entering the field.

Introduction to Categories, Homological Algebra and Sheaf Cohomology

Автор: Strooker
Название: Introduction to Categories, Homological Algebra and Sheaf Cohomology
ISBN: 0521095255 ISBN-13(EAN): 9780521095259
Издательство: Cambridge Academ
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Цена: 3746 р.
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Описание: Categories, homological algebra, sheaves and their cohomology furnish useful methods for attacking problems in a variety of mathematical fields.

Homological Algebra of Semimodules and Semicontramodules

Автор: Positselski
Название: Homological Algebra of Semimodules and Semicontramodules
ISBN: 3034604351 ISBN-13(EAN): 9783034604352
Издательство: Springer
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Цена: 10284 р.
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Описание: This book provides comprehensive coverage on semi-infinite homology and cohomology of associative algebraic structures. It features rich representation-theoretic and algebro-geometric examples and applications.

Introduction to Homological Algebra, 85,

Автор: Joseph J. Rotman
Название: Introduction to Homological Algebra, 85,
ISBN: 0125992505 ISBN-13(EAN): 9780125992503
Издательство: Elsevier Science
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Цена: 5138 р.
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