Groups, Rings, Modules (eBook)

Maurice Auslander, David Buchsbaum (Autoren)

eBook Download: EPUB

2014
480 Seiten
Dover Publications (Verlag)
978-0-486-79542-3 (ISBN)

Infos

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.

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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.

Autor

Maurice Auslander (1926–94) was Professor of Mathematics at Brandeis University. David A. Buchsbaum is Professor Emeritus of Mathematics at Brandeis University.

Produkt-Details

• Erscheint lt. Verlag: 1.6.2014
• Reihe/Serie: Dover Books on Mathematics
• Sprache: englisch
• Maße: 160 x 160 mm
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Schlagworte: abelian group • abstract algebra • algebraic field extensions • applications of fundamental theorem • arbitrary ring • artinian rings • classic monograph • Commutative algebra • Commutative Rings • Dedekind domain • denition • factorization domains • General module theory • group theory • localization and tensor products • mathematics modules • mathematics modules, commutative algebra, module theory and rings, factorization domains, general module theory, abelian group, arbitrary ring, semisimple rings and modules, artinian rings, localization and tensor products, principal ideal domains, applications of fundamental theorem, dedekind domain, denition, classic monograph, unique factorization • mathematic theory • Modules (algebra) • module theory and rings • principal ideal domains • Ring Theory • semisimple rings and modules • sets and maps • unique factorization
• ISBN-10: 0-486-79542-X / 048679542X
• ISBN-13: 978-0-486-79542-3 / 9780486795423