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Groups, Rings, Modules (Dover Books on Mathematics)by Maurice Auslander
Synopses & Reviews
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.
Dover (2014) republication of the edition originally published by Harper & Row Publishers, New York, 1974.
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Classic monograph covers sets and maps, monoids and groups, unique factorization domains, localization and tensor products, applications of fundamental theorem, algebraic field extension, Dedekind domains, and much more. 1974 edition.
About the Author
Maurice Auslander (1926-94) was Professor of Mathematics at Brandeis University. David A. Buchsbaum is Professor Emeritus of Mathematics at Brandeis University.
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