Relative homological algebra Volume 2

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