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Faithfully Balanced Modules And Applications In Relative Homological Algebra


Faithfully Balanced Modules And Applications In Relative Homological Algebra
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Faithfully Balanced Modules And Applications In Relative Homological Algebra


Faithfully Balanced Modules And Applications In Relative Homological Algebra
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Author : Biao Ma
language : en
Publisher:
Release Date : 2019

Faithfully Balanced Modules And Applications In Relative Homological Algebra written by Biao Ma and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.




Relative Homological Algebra


Relative Homological Algebra
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Author : Edgar E. Enochs
language : en
Publisher: Walter de Gruyter
Release Date : 2011-08-29

Relative Homological Algebra written by Edgar E. Enochs and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-29 with Mathematics categories.


This second volume deals with the relative homological algebra of complexes of modules and their applications. It is a concrete and easy introduction to the kind of homological algebra which has been developed in the last 50 years. The book serves as a bridge between the traditional texts on homological algebra and more advanced topics such as triangulated and derived categories or model category structures. It addresses to readers who have had a course in classical homological algebra, as well as to researchers.



Foundations Of Relative Homological Algebra


Foundations Of Relative Homological Algebra
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Author : Samuel Eilenberg
language : en
Publisher: American Mathematical Soc.
Release Date : 1965

Foundations Of Relative Homological Algebra written by Samuel Eilenberg and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Algebra, Homological categories.


The main notion of this paper is that of a "projective class of sequences" in an arbitrary (pointed) category. Each such class carries with it its own projective objects. One can then talk about projective resolutions, and if the category is additive, all the usual properties of the resolutions hold. In particular, this will permit the development of homological algebra in some additive categories which are not abelian, e.g., the category of comodules over a coalgebra over an arbitrary commutative ring.



Homological Algebra Of Semimodules And Semicontramodules


Homological Algebra Of Semimodules And Semicontramodules
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Author : Leonid Positselski
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-02

Homological Algebra Of Semimodules And Semicontramodules written by Leonid Positselski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-02 with Mathematics categories.


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.



Homological And Computational Methods In Commutative Algebra


Homological And Computational Methods In Commutative Algebra
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Author : Aldo Conca
language : en
Publisher: Springer
Release Date : 2017-11-16

Homological And Computational Methods In Commutative Algebra written by Aldo Conca and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-16 with Mathematics categories.


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 . The conference and this volume are dedicated to Winfried Bruns on the occasion of his 70th birthday. In particular, the topics of this book strongly reflect the variety of Winfried Bruns’ research interests and his great impact on commutative algebra as well as its applications to related fields. The authors discuss recent and relevant developments in algebraic geometry, commutative algebra, computational algebra, discrete geometry and homological algebra. The book offers a unique resource, both for young and more experienced researchers seeking comprehensive overviews and extensive bibliographic references.



Methods Of Homological Algebra


Methods Of Homological Algebra
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Author : Sergei I. Gelfand
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Methods Of Homological Algebra written by Sergei I. Gelfand and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.


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 about a modern approach to homological algebra and to use it in their work.



An Elementary Approach To Homological Algebra


An Elementary Approach To Homological Algebra
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Author : L.R. Vermani
language : en
Publisher: CRC Press
Release Date : 2003-05-28

An Elementary Approach To Homological Algebra written by L.R. Vermani and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-05-28 with Mathematics categories.


Often perceived as dry and abstract, homological algebra nonetheless has important applications in a number of important areas, including ring theory, group theory, representation theory, and algebraic topology and geometry. Although the area of study developed almost 50 years ago, a textbook at this level has never before been available. An Elementary Approach to Homological Algebra fills that void. Designed to meet the needs of beginning graduate students, the author presents the material in a clear, easy-to-understand manner with many examples and exercises. The book's level of detail, while not exhaustive, also makes it useful for self-study and as a reference for researchers.



Relative Homological Algebra And Homological Dimension Of Lie Algebras


Relative Homological Algebra And Homological Dimension Of Lie Algebras
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Author : Byoung-Song Chwe
language : en
Publisher:
Release Date : 1961

Relative Homological Algebra And Homological Dimension Of Lie Algebras written by Byoung-Song Chwe and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Algebra, Abstract categories.




Relative Homological Algebra


Relative Homological Algebra
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Author : John R. Hedstrom
language : en
Publisher:
Release Date : 1966

Relative Homological Algebra written by John R. Hedstrom and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with categories.




Introduction To Homological Algebra


Introduction To Homological Algebra
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Author : Sze-Tsen Hu
language : en
Publisher:
Release Date : 1979

Introduction To Homological Algebra written by Sze-Tsen Hu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.