Semilocal Categories and Modules with Semilocal Endomorphism Rings, Alberto Facchini

Автор: Mac Lane
Название: Categories for the Working Mathematician
ISBN: 0387984038 ISBN-13(EAN): 9780387984032
Издательство: Springer
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Цена: 52130.00 T
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Описание: This second edition includes a number of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the coherence theorems for them, as well as 2-categories and the higher dimensional categories which have recently come into prominence.

Автор: Peter J. Cameron
Название: Sets, Logic and Categories
ISBN: 1852330562 ISBN-13(EAN): 9781852330569
Издательство: Springer
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Цена: 32560.00 T
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Описание: Set theory, logic and category theory lie at the foundations of mathematics, and have a dramatic effect on the mathematics that we do, through the Axiom of Choice, Goedel`s Theorem, and the Skolem Paradox.

Автор: Jir? Ad?mek; Vera Trnkov?
Название: Automata and Algebras in Categories
ISBN: 0792300106 ISBN-13(EAN): 9780792300106
Издательство: Springer
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Цена: 102480.00 T
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Автор: Rudiger Gobel, Jan Trlifaj
Название: Approximations and Endomorphism Algebras of Modules: Volume 1 – Approximations / Volume 2 – Predictions
ISBN: 3110218100 ISBN-13(EAN): 9783110218107
Издательство: Walter de Gruyter
Цена: 358270.00 T
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Описание: This second, revised and substantially extended edition of Approximations and Endomorphism Algebras of Modules reflects both the depth and the width of recent developments in the area since the first edition appeared in 2006. The new division of the monograph into two volumes roughly corresponds to its two central topics, approximation theory (Volume 1) and realization theorems for modules (Volume 2). It is a widely accepted fact that the category of all modules over a general associative ring is too complex to admit classification. Unless the ring is of finite representation type we must limit attempts at classification to some restricted subcategories of modules. The wild character of the category of all modules, or of one of its subcategories C, is often indicated by the presence of a realization theorem, that is, by the fact that any reasonable algebra is isomorphic to the endomorphism algebra of a module from C. This results in the existence of pathological direct sum decompositions, and these are generally viewed as obstacles to classification. In order to overcome this problem, the approximation theory of modules has been developed. The idea here is to select suitable subcategories C whose modules can be classified, and then to approximate arbitrary modules by those from C. These approximations are neither unique nor functorial in general, but there is a rich supply available appropriate to the requirements of various particular applications. The authors bring the two theories together. The first volume, Approximations, sets the scene in Part I by introducing the main classes of modules relevant here: the S-complete, pure-injective, Mittag-Leffler, and slender modules. Parts II and III of the first volume develop the key methods of approximation theory. Some of the recent applications to the structure of modules are also presented here, notably for tilting, cotilting, Baer, and Mittag-Leffler modules.In the second volume, Predictions, further basic instruments are introduced: the prediction principles, and their applications to proving realization theorems. Moreover, tools are developed there for answering problems motivated in algebraic topology. The authors concentrate on the impossibility of classification for modules over general rings. The wild character of many categories C of modules is documented here by the realization theorems that represent critical R-algebras over commutative rings R as endomorphism algebras of modules from C. The monograph starts from basic facts and gradually develops the theory towards its present frontiers. It is suitable both for graduate students interested in algebra and for experts in module and representation theory.

Автор: Bergner, Julia E. (university Of Virginia)
Название: The Homotopy theory of (?,1)-categories
ISBN: 110749902X ISBN-13(EAN): 9781107499027
Издательство: Cambridge Academ
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Цена: 40130.00 T
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Описание: Homotopical or ( ,1)-categories have become a significant framework in many areas of mathematics. This book gives an introduction to the different approaches to these structures and the comparisons between them from the perspective of homotopy theory.

Автор: Frank W. Anderson; Kent R. Fuller
Название: Rings and Categories of Modules
ISBN: 1461287634 ISBN-13(EAN): 9781461287636
Издательство: Springer
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Цена: 65170.00 T
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Описание: This book is intended to provide a reasonably self-contained account of a major portion of the general theory of rings and modules suitable as a text for introductory and more advanced graduate courses.

Автор: Frank W. Anderson; Kent R. Fuller
Название: Rings and Categories of Modules
ISBN: 0387978453 ISBN-13(EAN): 9780387978451
Издательство: Springer
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Цена: 65170.00 T
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Описание: Offers an account of much of the theory of rings and modules. This book provides the basic definitions and properties of rings, modules and homomorphisms. It offers comprehensive treatments of direct sums, finiteness conditions, the Wedderburn-Artin Theorem, the Jacobson radical, the hom and tensor functions, and Morita equivalence and duality.

Автор: Alberto Facchini, Lorna Gregory, Sonia L`Innocente, Marcus Tressl
Название: Model Theory of Modules, Algebras and Categories
ISBN: 1470443678 ISBN-13(EAN): 9781470443672
Издательство: Mare Nostrum (Eurospan)
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Цена: 108680.00 T
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Описание: This volume contains the proceedings of the international conference Model Theory of Modules, Algebras and Categories, held from July 28-August 2, 2017, at the Ettore Majorana Foundation and Centre for Scientific Culture in Erice, Italy.Papers contained in this volume cover recent developments in model theory, module theory and category theory, and their intersection.

Автор: Denis-Charles Cisinski; Fr?d?ric D?glise
Название: Triangulated Categories of Mixed Motives
ISBN: 3030332411 ISBN-13(EAN): 9783030332419
Издательство: Springer
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Цена: 111790.00 T
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Описание: The primary aim of this monograph is to achieve part of Beilinson`s program on mixed motives using Voevodsky`s theories of A1-homotopy and motivic complexes.