Groups, Rings, Modules

Nonfiction, Science & Nature, Mathematics, Algebra
Cover of the book Groups, Rings, Modules by Maurice Auslander, David Buchsbaum, Dover Publications
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Author: Maurice Auslander, David Buchsbaum ISBN: 9780486795423
Publisher: Dover Publications Publication: June 1, 2014
Imprint: Dover Publications Language: English
Author: Maurice Auslander, David Buchsbaum
ISBN: 9780486795423
Publisher: Dover Publications
Publication: June 1, 2014
Imprint: Dover Publications
Language: English

This classic monograph is geared toward advanced undergraduates and graduate students. The treatment presupposes some familiarity with sets, groups, rings, and vector spaces.
The four-part approach begins with examinations of sets and maps, monoids and groups, categories, and rings. The second part explores unique factorization domains, general module theory, semisimple rings and modules, and Artinian rings. Part three's topics include localization and tensor products, principal ideal domains, and applications of fundamental theorem. The fourth and final part covers algebraic field extensions and Dedekind domains. Exercises are provided at the end of each chapter.

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This classic monograph is geared toward advanced undergraduates and graduate students. The treatment presupposes some familiarity with sets, groups, rings, and vector spaces.
The four-part approach begins with examinations of sets and maps, monoids and groups, categories, and rings. The second part explores unique factorization domains, general module theory, semisimple rings and modules, and Artinian rings. Part three's topics include localization and tensor products, principal ideal domains, and applications of fundamental theorem. The fourth and final part covers algebraic field extensions and Dedekind domains. Exercises are provided at the end of each chapter.

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