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Relative Homological Algebra

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Relative Homological Algebra

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Author : Edgar E. Enochs
language : en
Publisher: Walter de Gruyter
Release Date : 2011-10-27

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 2011-10-27 with Mathematics categories.

This is the second revised edition of an introduction to contemporary relative homological algebra. It supplies important material essential to understand topics in algebra, algebraic geometry and algebraic topology. Each section comes with exercises providing practice problems for students as well as additional important results for specialists. In this new edition the authors have added well-known additional material in the first three chapters, and added new material that was not available at the time the original edition was published. In particular, the major changes are the following: Chapter 1: Section 1.2 has been rewritten to clarify basic notions for the beginner, and this has necessitated a new Section 1.3. Chapter 3: The classic work of D. G. Northcott on injective envelopes and inverse polynomials is finally included. This provides additional examples for the reader. Chapter 11: Section 11.9 on Kaplansky classes makes volume one more up to date. The material in this section was not available at the time the first edition was published. The authors also have clarified some text throughout the book and updated the bibliography by adding new references. The book is also suitable for an introductory course in commutative and ordinary homological algebra.

Relative Homological Algebra

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

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

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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.

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.

Foundations Of Relative Homological Algebra

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Author : Samuel Eilenberg
language : it
Publisher:
Release Date : 1965

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

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.