Ebook: Further Algebra and Applications

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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Content:
Front Matter....Pages i-xi
Universal Algebra....Pages 1-31
Homological Algebra....Pages 33-89
Further Group Theory....Pages 91-134
Algebras....Pages 135-177
Central simple algebras....Pages 179-219
Representation theory of finite groups....Pages 221-264
Noetherian rings and polynomial identities....Pages 265-308
Rings without finiteness assumption....Pages 309-342
Skew Fields....Pages 343-370
Coding Theory....Pages 371-393
Languages and Automata....Pages 395-429
Back Matter....Pages 431-451

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Content:
Front Matter....Pages i-xi
Universal Algebra....Pages 1-31
Homological Algebra....Pages 33-89
Further Group Theory....Pages 91-134
Algebras....Pages 135-177
Central simple algebras....Pages 179-219
Representation theory of finite groups....Pages 221-264
Noetherian rings and polynomial identities....Pages 265-308
Rings without finiteness assumption....Pages 309-342
Skew Fields....Pages 343-370
Coding Theory....Pages 371-393
Languages and Automata....Pages 395-429
Back Matter....Pages 431-451
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