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AuthorCohn, P. M. author
TitleFurther Algebra and Applications [electronic resource] / by P. M. Cohn
ImprintLondon : Springer London : Imprint: Springer, 2003
Connect tohttp://dx.doi.org/10.1007/978-1-4471-0039-3
Descript XI, 451 p. online resource

SUMMARY

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


Mathematics Algebra Field theory (Physics) Ordered algebraic structures Applied mathematics Engineering mathematics Mathematics Algebra Field Theory and Polynomials Order Lattices Ordered Algebraic Structures Applications of Mathematics



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