Mal`cev, Protomodular, Homological and Semi-Abelian Categories, Borceux Francis, Bourn Dominique
Автор: Mac Lane Название: Categories for the Working Mathematician ISBN: 0387984038 ISBN-13(EAN): 9780387984032 Издательство: Springer Рейтинг: Цена: 8309 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Holm Название: Triangulated Categories ISBN: 0521744318 ISBN-13(EAN): 9780521744317 Издательство: Cambridge Academ Рейтинг: Цена: 11568 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Magid Название: Module Categories of Analytic Groups ISBN: 052109027X ISBN-13(EAN): 9780521090278 Издательство: Cambridge Academ Рейтинг: Цена: 4518 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Professor Magid has written a complete account of the subject that is accessible to a wide audience.
Автор: Berrick Название: Categories and Modules with K-Theory in View ISBN: 0521632765 ISBN-13(EAN): 9780521632768 Издательство: Cambridge Academ Рейтинг: Цена: 18620 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is a concise introduction at graduate level to ring theory, module theory and number theory.
Автор: Lluis Puig Название: Frobenius Categories versus Brauer Blocks ISBN: 376439997X ISBN-13(EAN): 9783764399979 Издательство: Springer Рейтинг: Цена: 17819 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Описание: Categories, homological algebra, sheaves and their cohomology furnish useful methods for attacking problems in a variety of mathematical fields.
Автор: Positselski Название: Homological Algebra of Semimodules and Semicontramodules ISBN: 3034604351 ISBN-13(EAN): 9783034604352 Издательство: Springer Рейтинг: Цена: 16334 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Gelfand Sergei I., Manin Yuri I. Название: Methods of Homological Algebra ISBN: 3540435832 ISBN-13(EAN): 9783540435839 Издательство: Springer Рейтинг: Цена: 14849 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Joseph J. Rotman Название: Introduction to Homological Algebra, 85, ISBN: 0125992505 ISBN-13(EAN): 9780125992503 Издательство: Elsevier Science Рейтинг: Цена: 8160 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An Introduction to Homological Algebra discusses the origins of algebraic topology. It also presents the study of homological algebra as a two-stage affair. First, one must learn the language of Ext and Tor and what it describes. Second, one must be able to compute these things, and often, this involves yet another language: spectral sequences. Homological algebra is an accessible subject to those who wish to learn it, and this book is the author's attempt to make it lovable. This book comprises 11 chapters, with an introductory chapter that focuses on line integrals and independence of path, categories and functors, tensor products, and singular homology. Succeeding chapters discuss Hom and ?; projectives, injectives, and flats; specific rings; extensions of groups; homology; Ext; Tor; son of specific rings; the return of cohomology of groups; and spectral sequences, such as bicomplexes, Kunneth Theorems, and Grothendieck Spectral Sequences. This book will be of interest to practitioners in the field of pure and applied mathematics.
Автор: Northcott Название: An Introduction to Homological Algebra ISBN: 0521097932 ISBN-13(EAN): 9780521097932 Издательство: Cambridge Academ Рейтинг: Цена: 7410 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is designed with the needs and problems of the beginner in mind, but will also be a useful work of reference for specialists.
Описание: Toroidal groups are the connecting link between torus groups and any complex Lie groups. Many properties of complex Lie groups such as the pseudoconvexity and cohomology are determined by their maximal toroidal subgroups. Quasi-Abelian varieties are meromorphically separable toroidal groups. They are the natural generalisation of the Abelian varieties. Nevertheless, their behavior can be completely different as the wild groups show.
Автор: Birkenhake Christina, Lange Herbert Название: Complex Abelian Varieties ISBN: 3540204881 ISBN-13(EAN): 9783540204886 Издательство: Springer Рейтинг: Цена: 17819 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The subject of this book is the theory of abelian varieties over the field of complex numbers. It covers the main results of the theory, both classic and recent, in modern language. It is intended to give a comprehensive introduction to the field, but also to serve as a reference. The focal topics are the projective embeddings of an abelian variety, their equations and geometric properties. Moreover several moduli spaces of abelian varieties with additional structure are constructed. Some special results on Jacobians and Prym varieties allow applications to the theory of algebraic curves. The second edition contains five new chapters which present some of the most important recent result on the subject. Among them are results on automorphisms and vector bundles on abelian varieties, algebraic cycles and the Hodge conjecture.
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