Homological Mirror Symmetry, Anton Kapustin; Maximilian Kreuzer; Karl-Georg Sch

Название: Homological mirror symmetry and tropical geometry
ISBN: 3319065130 ISBN-13(EAN): 9783319065137
Издательство: Springer
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Цена: 74530.00 T
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Описание: The relationship between Tropical Geometry and Mirror Symmetry goes back to the work of Kontsevich and Y.

Автор: M. Scott Osborne
Название: Basic Homological Algebra
ISBN: 1461270758 ISBN-13(EAN): 9781461270751
Издательство: Springer
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Цена: 60550.00 T
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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.

Автор: S.I. Gelfand; A.I. Kostrikin; S.I. Gelfand; Yu.I.
Название: Homological Algebra
ISBN: 3540533737 ISBN-13(EAN): 9783540533733
Издательство: Springer
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Цена: 121110.00 T
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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: Leonid Positselski
Название: Homological Algebra of Semimodules and Semicontramodules
ISBN: 3034803133 ISBN-13(EAN): 9783034803137
Издательство: Springer
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Цена: 102480.00 T
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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: 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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Цена: 93160.00 T
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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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Цена: 83850.00 T
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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: 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: 93160.00 T
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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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Цена: 79190.00 T
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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: 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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Цена: 55890.00 T
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Автор: Hvedri Inassaridze
Название: K-theory and Homological Algebra
ISBN: 3540528369 ISBN-13(EAN): 9783540528364
Издательство: Springer
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Цена: 37220.00 T
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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: Peter J. Hilton; Urs Stammbach
Название: A Course in Homological Algebra
ISBN: 1461264383 ISBN-13(EAN): 9781461264385
Издательство: Springer
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Цена: 65210.00 T
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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: Hvedri Inassaridze
Название: Non-Abelian Homological Algebra and Its Applications
ISBN: 9048148995 ISBN-13(EAN): 9789048148998
Издательство: Springer
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Цена: 186290.00 T
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Описание: While in classical (abelian) homological algebra additive functors from abelian (or additive) categories to abelian categories are investigated, non- abelian homological algebra deals with non-additive functors and their homological properties, in particular with functors having values in non-abelian categories. Such functors haveimportant applications in algebra, algebraic topology, functional analysis, algebraic geometry and other principal areas of mathematics. To study homological properties of non-additive functors it is necessary to define and investigate their derived functors and satellites. It will be the aim of this book based on the results of researchers of A. Razmadze Mathematical Institute of the Georgian Academy of Sciences devoted to non-abelian homological algebra. The most important considered cases will be functors from arbitrary categories to the category of modules, group valued functors and commutative semigroup valued functors. In Chapter I universal sequences of functors are defined and in- vestigated with respect to (co)presheaves of categories, extending in a natural way the satellites of additive functors to the non-additive case and generalizing the classical relative homological algebra in additive categories to arbitrary categories. Applications are given in the furth- coming chapters. Chapter II is devoted to the non-abelian derived functors of group valued functors with respect to projective classes using projective pseu- dosimplicial resolutions. Their functorial properties (exactness, Milnor exact sequence, relationship with cotriple derived functors, satellites and Grothendieck cohomology, spectral sequence of an epimorphism, degree of an arbitrary functor) are established and applications to ho- mology and cohomology of groups are given.