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Relative Homological Algebra Volume 2 De Gruyter Enochs Overtoun, and Jenda
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N.º de artículo de eBay:145596375100
Características del artículo
- Estado
- Subject
- Mathematics
- Subject Area
- Algebra
- ISBN
- 9783110215229
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Product Identifiers
Publisher
DE Gruyter Gmbh, Walter
ISBN-10
3110215225
ISBN-13
9783110215229
eBay Product ID (ePID)
79247765
Product Key Features
Number of Pages
108 Pages
Publication Name
Relative Homological Algebra
Language
English
Subject
Group Theory, Algebra / Abstract
Publication Year
2011
Type
Textbook
Subject Area
Mathematics
Series
De Gruyter Expositions in Mathematics Ser.
Format
Hardcover
Dimensions
Item Weight
11.7 Oz
Item Length
9.4 in
Item Width
6.7 in
Additional Product Features
Intended Audience
Scholarly & Professional
Dewey Edition
21
Reviews
"The authors' presentation is original, condensed and carefully written. Even in case the authors' would be right with their claim that the results "are probably well known" it will be an important help for a person who will become familiar with these details to find them in such a compact and clearly presented way." Zentralblatt für Mathematik
Grade From
College Graduate Student
Series Volume Number
54
Volume Number
Volume 2
Dewey Decimal
512.55
Grade To
College Graduate Student
Table Of Content
Dedication Preface Chapter I: Complexes of Modules 1. Definitions and basic constructions 2. Complexes formed from Modules 3. Free Complexes 4. Projective and Injective Complexes Chapter II: Short Exact Sequences of Complexe 1. The groups Extn(C, D) 2. The Group Ext1(C, D) 3. The Snake Lemma for Complexes 4. Mapping Cones Chapter III: The Category K(R-Mod) 1. Homotopies 2. The category K(R-Mod) 3. Split short exact sequences 4. The complexes Hom(C, D) 5. The Koszul Complex Chapter IV: Cotorsion Pairs and Triplets in C(R-Mod) 1. Cotorsion Pairs 2. Cotorsion triplets 3. The Dold triplet 4. More on cotorsion pairs and triplets Chapter V: Adjoint Functors 1. Adjoint functors Chapter VI: Model Structures 1. Model Structures on C(R-Mod) Chapter VII: Creating Cotorsion Pairs 1. Creating Cotorsion pairs in C(R-Mod) in a Termwise Manner 2. The Hill lemma 3. More cotorsion pairs 4. More Hovey pairs Chapter VIII: Minimal Complexes 1. Minimal resolutions 2. Decomposing a complex Chapter IX: Cartan and Eilenberg Resolutions 1. Cartan-Eilenberg Projective Complexes 2. Cartan and Eilenberg Projective resolutions 3. C - E injective complexes and resolutions 4. Cartan and Eilenberg Balance Bibliographical Notes References Index
Synopsis
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.
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