Gorenstein Homological Algebra

This book is suitable for mathematicians, especially graduate students with an interest in homological algebra and its applications.

Foreword Preface 1 Modules - projective, injective, at modules 2 Gorenstein projective, injective and at modules 3 Gorenstein projective resolutions 4 Gorenstein injective resolutions 5 Gorenstein at precovers and preenvelopes 6 Connections with Tate (co)homology 7 Totally acyclic complexes 8 Generalizations of the Gorenstein modules 9 Gorenstein projective, injective, at complexes, dg-projective, dg-injective, dg-at complexes