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.
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From the reviews of the second volume of the revised edition: "The reader is treated to the spectacle of a very fine mathematician developing many diverse branches of algebra in a direct and illuminating manner. ! this volume contains a gold-mine of algebraic nuggets, each developed in a direct and economical manner highlighting the most important results. It is an invaluable source and is to be strongly recommended." (Robert Curtis, The Mathematical Gazette, Vol. 88 (512), 2004) "The author has spent much effort at including a plentiful supply of worked concrete examples and carefully selected exercises. ! it is especially the wealth of specific, non-standard topics and important applications that makes this algebra text ! highly unique and valuable. ! the author manages to cover a vast spectrum of concepts, methods, principles, aspects, and applications of modern algebra in a masterly style. ! This introductory algebra text remains one of the very best available, all the more ! in this new edition." (Werner Kleinert, Zentralblatt MATH, 1006, 2003)
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