Homological mirror symmetry and tropical geometry, 

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: 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: Hvedri Inassaridze
Название: K-theory and Homological Algebra
ISBN: 3540528369 ISBN-13(EAN): 9783540528364
Издательство: Springer
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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: 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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Цена: 13974.00 р.
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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 .