ENGLISH

Relative homological algebra Volume 2

Book information

Publisher
de Gruyter
Year
2010
ISBN
9783110215236, 3110215233, 3110215225, 9783110215229
Language
english
Format
PDF
Filesize
568 kB (582020 bytes)
Series
De Gruyter expositions in mathematics, 54
Pages
109\109
Library
Kolxo3
Time added
2012-12-29 17:00:00

Description

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; No

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