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
CONTENT
1. Universal algebra -- 2. Homological algebra -- 3. Further group theory -- 4. Algebras -- 5. Central simple algebras -- 6. Representation theory of finite groups -- 7. Noetherian rings and polynomial identities -- 8. Rings without finiteness assumptions -- 9. Skew fields -- 10. Coding theory -- 11. Languages and automata -- List of Notations -- Author Index
