CONTENTS Preface v 1. Preliminaries 1 1.1 Basic Concepts Concerning Rings and Modules 1 1.2 Categories and Functors 10 1.3 Tensor Product of Modules 15 1.4 Direct and Inverse Limits 17 1.5 Projective, Injective, and Flat Modules 19 1.6 The Functor Tor 23 1.7 The Functor Ext 24 1.8 Hereditary and Semihereditary Rings 26 1.9 Semiperfect and Perfect Rings 28 1.10 Serial and Semidistributive Rings 31 1.11 Classical Rings of Fractions 34 1.12 Quivers of Algebras and Rings 35 2. Basic General Constructions of Groups and Rings 37 2.1 Direct…
Download Free Algebras, Rings and Modules Non-commutative Algebras and Rings Author Michiel Hazewinkel and Nadiya Gubareni
