Relative homological algebra
 Responsibility
 Edgar E. Enochs, Overtoun M.G. Jenda.
 Language
 English.
 Edition
 2nd rev. and extended ed.
 Imprint
 Berlin ; Boston : De Gruyter, 2011
 Physical description
 v. <12> ; 25 cm.
 Series
 De Gruyter expositions in mathematics ; 30.
 De Gruyter expositions in mathematics ; 54.
Access
Available online
 Vol. 1 ebrary ebrary
 Vol. 2 ebrary
Math & Statistics Library
Stacks
Library has: v.12
Call number  Status 

QA169 .E6 2011 V.1  Unknown 
QA169 .E6 2011 V.2  Unknown 
More options
Creators/Contributors
 Author/Creator
 Enochs, Edgar E.
 Contributor
 Jenda, Overtoun M. G.
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Contents

 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(RMod) 1. Homotopies 2. The category K(RMod) 3. Split short exact sequences 4. The complexes Hom(C, D) 5. The Koszul Complex Chapter IV: Cotorsion Pairs and Triplets in C(RMod) 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(RMod) Chapter VII: Creating Cotorsion Pairs 1. Creating Cotorsion pairs in C(RMod) 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. CartanEilenberg Projective Complexes 2. Cartan and Eilenberg Projective resolutions 3. C  E injective complexes and resolutions 4. Cartan and Eilenberg Balance Bibliographical No.
 (source: Nielsen Book Data)9783110215236 20160607
 Publisher's Summary
 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.
(source: Nielsen Book Data)9783110215212 20160607  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.
(source: Nielsen Book Data)9783110215236 20160607
Subjects
 Subject
 Algebra, Homological.
Bibliographic information
 Beginning date
 2011
 Series
 De Gruyter expositions in mathematics ; 30, 54
 ISBN
 9783110215205 (v. 1 : alk. paper)
 9783110215229 (v. 2 : alk. paper)
 3110215209 (v. 1)
 3110215225 (v. 2)
 9783110215212 (v. 1 : electronic bk.)
 9783110215236 (v. 2 : electronic bk.)
 3110215217 (v. 1)
 3110215233 (v. 2)