Описание: Explores various aspects of coherence in homological algebra that already appear in the classical situation of abelian groups or abelian categories. This title includes lattices of subobjects that are shown to play an important role in study of homological systems, from simple chain complexes to the structures that give rise to spectral sequences.
Автор: Grandis Marco Название: Homological Algebra: In Strongly Non-Abelian Settings ISBN: 9814425915 ISBN-13(EAN): 9789814425919 Издательство: World Scientific Publishing Рейтинг: Цена: 16790.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: M. Scott Osborne Название: Basic Homological Algebra ISBN: 038798934X ISBN-13(EAN): 9780387989341 Издательство: Springer Рейтинг: Цена: 9357.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Peter J. Hilton; Urs Stammbach Название: A Course in Homological Algebra ISBN: 1461264383 ISBN-13(EAN): 9781461264385 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: S.I. Gelfand; A.I. Kostrikin; S.I. Gelfand; Yu.I. Название: Homological Algebra ISBN: 3540533737 ISBN-13(EAN): 9783540533733 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Presents a modern approach to homological algebra together with some important applications in algebraic geometry and algebraic topology. Written by well-known researchers, this book is useful for graduate students and researchers in mathematics and also for physicists who use methods from algebraic geometry and algebraic topology.
Автор: Peter J. Hilton; Urs Stammbach Название: A Course in Homological Algebra ISBN: 0387948236 ISBN-13(EAN): 9780387948232 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Название: Homological mirror symmetry and tropical geometry ISBN: 3319065130 ISBN-13(EAN): 9783319065137 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The relationship between Tropical Geometry and Mirror Symmetry goes back to the work of Kontsevich and Y.
Автор: Kreuzer Название: Computational Linear and Commutative Algebra ISBN: 331943599X ISBN-13(EAN): 9783319435992 Издательство: Springer Рейтинг: Цена: 7406.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book combines, in a novel and general way, an extensive development of the theory of families of commuting matrices with applications to zero-dimensional commutative rings, primary decompositions and polynomial system solving. It integrates the Linear Algebra of the Third Millennium, developed exclusively here, with classical algorithmic and algebraic techniques. Even the experienced reader will be pleasantly surprised to discover new and unexpected aspects in a variety of subjects including eigenvalues and eigenspaces of linear maps, joint eigenspaces of commuting families of endomorphisms, multiplication maps of zero-dimensional affine algebras, computation of primary decompositions and maximal ideals, and solution of polynomial systems. This book completes a trilogy initiated by the uncharacteristically witty books Computational Commutative Algebra 1 and 2 by the same authors. The material treated here is not available in book form, and much of it is not available at all. The authors continue to present it in their lively and humorous style, interspersing core content with funny quotations and tongue-in-cheek explanations.
Автор: Leonid Positselski Название: Homological Algebra of Semimodules and Semicontramodules ISBN: 3034803133 ISBN-13(EAN): 9783034803137 Издательство: Springer Рейтинг: Цена: 15372.00 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: Hvedri Inassaridze Название: Non-Abelian Homological Algebra and Its Applications ISBN: 0792347188 ISBN-13(EAN): 9780792347187 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Hvedri Inassaridze Название: K-theory and Homological Algebra ISBN: 3540528369 ISBN-13(EAN): 9783540528364 Издательство: Springer Рейтинг: Цена: 5583.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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