Further Algebra and Applications
By: by P. M. Cohn
Publisher: Springer London
Published: 2003
Place of publication: London
Language: eng
Format: [electronic resource] /
Number of pages: 451
ISBN-13: 9781447111207; 9781447100393
Subjects: Mathematics; Field theory (Physics); Algebra
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.
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Table of contents: title: Conventions on Terminology; title: Preface; title: Universal Algebra; title: Homological Algebra; title: Further Group Theory; title: Algebras; title: Central Simple Algebras; title: Representation Theory of Finite Groups; title: Noetherian Rings and Polynomial Identities; title: Rings without Finiteness Assumptions; title: Skew Fields; title: Coding Theory; title: Languages and Automata; title: Bibliography; title: List of Notations; title: Author Index; title: Subject Index.