Non-Abelian Homological Algebra and Its Applications, Hvedri Inassaridze

Автор: M. Scott Osborne
Название: Basic Homological Algebra
ISBN: 038798934X ISBN-13(EAN): 9780387989341
Издательство: Springer
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Описание: From the reviews: "The book is well written. We find here many examples. Each chapter is followed by exercises, and at the end of the book there are outline solutions to some of them. [...] I especially appreciated the lively style of the book; [...] one is quickly able to find necessary details." EMS Newsletter

Автор: S.I. Gelfand; A.I. Kostrikin; S.I. Gelfand; Yu.I.
Название: Homological Algebra
ISBN: 3540653783 ISBN-13(EAN): 9783540653783
Издательство: Springer
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Автор: Hvedri Inassaridze
Название: K-theory and Homological Algebra
ISBN: 3540528369 ISBN-13(EAN): 9783540528364
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Описание: An account of a seminar held at the Mathematical Institute in Tbilisi, USSR from 1987 to 1988 which dealt with such subjects as algebraic K-theory of monoid algebras and coefficients.

Автор: Hvedri Inassaridze
Название: Non-Abelian Homological Algebra and Its Applications
ISBN: 0792347188 ISBN-13(EAN): 9780792347187
Издательство: Springer
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Описание: This text exposes methods of non-abelian homological algebra, such as the theory of satellites in abstract categories with respect to presheaves of categories and the theory of non-abelian derived functors of group valued functors.

Автор: Grandis Marco
Название: Homological Algebra: In Strongly Non-Abelian Settings
ISBN: 9814425915 ISBN-13(EAN): 9789814425919
Издательство: World Scientific Publishing
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Описание: We propose here a study of 'semiexact' and 'homological' categories as a basis for a generalised homological algebra. Our aim is to extend the homological notions to deeply non-abelian situations, where satellites and spectral sequences can still be studied.This is a sequel of a book on 'Homological Algebra, The interplay of homology with distributive lattices and orthodox semigroups', published by the same Editor, but can be read independently of the latter.The previous book develops homological algebra in p-exact categories, i.e. exact categories in the sense of Puppe and Mitchell -- a moderate generalisation of abelian categories that is nevertheless crucial for a theory of 'coherence' and 'universal models' of (even abelian) homological algebra. The main motivation of the present, much wider extension is that the exact sequences or spectral sequences produced by unstable homotopy theory cannot be dealt with in the previous framework.According to the present definitions, a semiexact category is a category equipped with an ideal of 'null' morphisms and provided with kernels and cokernels with respect to this ideal. A homological category satisfies some further conditions that allow the construction of subquotients and induced morphisms, in particular the homology of a chain complex or the spectral sequence of an exact couple.Extending abelian categories, and also the p-exact ones, these notions include the usual domains of homology and homotopy theories, e.g. the category of 'pairs' of topological spaces or groups; they also include their codomains, since the sequences of homotopy 'objects' for a pair of pointed spaces or a fibration can be viewed as exact sequences in a homological category, whose objects are actions of groups on pointed sets.

Автор: Francis Borceux; Dominique Bourn
Название: Mal`cev, Protomodular, Homological and Semi-Abelian Categories
ISBN: 9048165512 ISBN-13(EAN): 9789048165513
Издательство: Springer
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Автор: Sergei I. Gelfand; Yuri I. Manin
Название: Methods of Homological Algebra
ISBN: 3642078133 ISBN-13(EAN): 9783642078132
Издательство: Springer
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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.

Автор: Leonid Positselski
Название: Homological Algebra of Semimodules and Semicontramodules
ISBN: 3034803133 ISBN-13(EAN): 9783034803137
Издательство: Springer
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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.

Автор: Aldo Conca; Joseph Gubeladze; Tim R?mer
Название: Homological and Computational Methods in Commutative Algebra
ISBN: 331961942X ISBN-13(EAN): 9783319619422
Издательство: Springer
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Описание: This volume collects contributions by leading experts in the area of commutative algebra related to the INdAM meeting "Homological and Computational Methods in Commutative Algebra" held in Cortona (Italy) from May 30 to June 3, 2016 .

Автор: Peter J. Hilton; Urs Stammbach
Название: A Course in Homological Algebra
ISBN: 0387948236 ISBN-13(EAN): 9780387948232
Издательство: Springer
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Описание: Homological algebra has found a large number of applications in many fields ranging from finite and infinite group theory to representation theory, number theory, algebraic topology and sheaf theory. This title addresses a number of select topics and describes their applications, illustrating the range and depth of their developments.

Автор: Peter J. Hilton; Urs Stammbach
Название: A Course in Homological Algebra
ISBN: 1461264383 ISBN-13(EAN): 9781461264385
Издательство: Springer
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Цена: 9781.00 р.
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Описание: Homological algebra has found a large number of applications in many fields ranging from finite and infinite group theory to representation theory, number theory, algebraic topology and sheaf theory.

Автор: M. Scott Osborne
Название: Basic Homological Algebra
ISBN: 1461270758 ISBN-13(EAN): 9781461270751
Издательство: Springer
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Описание: Five years ago, I taught a one-quarter course in homological algebra. I discovered that there was no book which was really suitable as a text for such a short course, so I decided to write one. The point was to cover both Ext and Tor early, and still have enough material for a larger course (one semester or two quarters) going off in any of several possible directions. This book is 'also intended to be readable enough for independent study. The core of the subject is covered in Chapters 1 through 3 and the first two sections ofChapter 4. At that point there are several options. Chapters 4 and 5 cover the more traditional aspects of dimension and ring changes. Chapters 6 and 7 cover derived functors in general. Chapter 8 focuses on a special property of Tor. These three groupings are independent, as are various sections from Chapter 9, which is intended as a source of special topics. (The prerequisites for each section of Chapter 9 are stated at the beginning.) Some things have been included simply because they are hard to find else- where, and they naturally fit into the discussion. Lazard's theorem (Section 8.4)-is an example; Sections4,5, and 7ofChapter 9 containother examples, as do the appendices at the end.