Further Algebra and Applications

Abstract

Further Algebra and Applications is the second volume of a new and revised edition of P.M. Cohn's classic three-volume text "Algebra" which is widely regarded as one of the most outstanding introductory algebra textbooks. For this edition, the text has been reworked and updated into two self-contained, companion volumes, covering advanced topics in algebra for second- and third-year undergraduate and postgraduate research students. The first volume, "Basic Algebra", covers the important results of algebra; this companion volume focuses on the applications and covers the more advanced parts of topics such as: - groups and algebras - homological algebra - universal algebra - general ring theory - representations of finite groups - coding theory - languages and automata The author gives a clear account, supported by worked examples, with full proofs. There are numerous exercises with occasional hints, and some historical remarks. Conventions on Terminology -- Preface -- Universal Algebra -- Homological Algebra -- Further Group Theory -- Algebras -- Central Simple Algebras -- Representation Theory of Finite Groups -- Noetherian Rings and Polynomial Identities -- Rings without Finiteness Assumptions -- Skew Fields -- Coding Theory -- Languages and Automata -- Bibliography -- List of Notations -- Author Index -- Subject Index.