Foundations Of Relative Homological Algebra
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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.
Foundations Of Relative Homological Algebra
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Author : Samuel Eilenberg
language : en
Publisher:
Release Date : 1966
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 1966 with categories.
Foundations Of Relative Homological Algebra
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Author : Samuel Eilenberg
language : en
Publisher:
Release Date :
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 with categories.
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.
Foundation Of Relative Non Abelian Homological Algebra
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Author : Tamar Janelidze
language : en
Publisher:
Release Date : 2009
Foundation Of Relative Non Abelian Homological Algebra written by Tamar Janelidze and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.
Relative Homological Algebra
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Author : Edgar E. Enochs
language : en
Publisher: Walter de Gruyter
Release Date : 2011
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 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. The book is also suitable for an introductory course in commutative and ordinary homological algebra.
Foundations Of Commutative Rings And Their Modules
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Author : Fanggui Wang
language : en
Publisher: Springer
Release Date : 2017-01-06
Foundations Of Commutative Rings And Their Modules written by Fanggui Wang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-06 with Mathematics categories.
This book provides an introduction to the basics and recent developments of commutative algebra. A glance at the contents of the first five chapters shows that the topics covered are ones that usually are included in any commutative algebra text. However, the contents of this book differ significantly from most commutative algebra texts: namely, its treatment of the Dedekind–Mertens formula, the (small) finitistic dimension of a ring, Gorenstein rings, valuation overrings and the valuative dimension, and Nagata rings. Going further, Chapter 6 presents w-modules over commutative rings as they can be most commonly used by torsion theory and multiplicative ideal theory. Chapter 7 deals with multiplicative ideal theory over integral domains. Chapter 8 collects various results of the pullbacks, especially Milnor squares and D+M constructions, which are probably the most important example-generating machines. In Chapter 9, coherent rings with finite weak global dimensions are probed, and the local ring of weak global dimension two is elaborated on by combining homological tricks and methods of star operation theory. Chapter 10 is devoted to the Grothendieck group of a commutative ring. In particular, the Bass–Quillen problem is discussed. Finally, Chapter 11 aims to introduce relative homological algebra, especially where the related concepts of integral domains which appear in classical ideal theory are defined and investigated by using the class of Gorenstein projective modules. Each section of the book is followed by a selection of exercises of varying degrees of difficulty. This book will appeal to a wide readership from graduate students to academic researchers who are interested in studying commutative algebra.
Foundatiuons Of Relative Homological Algebra By Samuel Eilenberg
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Author : Samuel Eilenberg
language : en
Publisher:
Release Date : 1965
Foundatiuons Of Relative Homological Algebra By Samuel Eilenberg 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
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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.
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.