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Product Description
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. Keywords: Algebra, PI-rings, Skew fields, Universal algebra Contents: 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
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