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Groups Rings Modules-David Buchsbaum

Groups Rings Modules-David Buchsbaum

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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.
Author: Auslander, Maurice Author: Buchsbaum, David Publisher: Dover Publications Illustration: N Language: ENG Title: Groups, Rings, Modules Pages: 00480 (Encrypted EPUB) On Sale: 2014-06-01 SKU-13/ISBN: 9780486490823 Category: Mathematics : Algebra - General Category: Mathematics : Algebra - Abstract


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.
Author: Auslander, Maurice Author: Buchsbaum, David Publisher: Dover Publications Illustration: N Language: ENG Title: Groups, Rings, Modules Pages: 00480 (Encrypted EPUB) On Sale: 2014-06-01 SKU-13/ISBN: 9780486490823 Category: Mathematics : Algebra - General Category: Mathematics : Algebra - Abstract