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＜E-Book＞
Further Algebra and Applications / by Paul M. Cohn

Edition	1st ed. 2003.
Publisher	(London : Springer London : Imprint: Springer)
Year	2003
Language	English
Size	XI, 451 p : online resource
Authors	*Cohn, Paul M author SpringerLink (Online service)
Subjects	LCSH:Algebra LCSH:Algebraic fields LCSH:Polynomials LCSH:Mathematics FREE:Algebra FREE:Field Theory and Polynomials FREE:Order, Lattices, Ordered Algebraic Structures FREE:Applications of Mathematics
Notes	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 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 HTTP:URL=https://doi.org/10.1007/978-1-4471-0039-3

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