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Introduction to Noncommutative Noetherian Rings

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ISBN-10: 0521545374

ISBN-13: 9780521545372

Edition: 2nd 2004 (Revised)

Authors: R. B. Warfield, K. R. Goodearl, C. M. Series, J. W. Bruce

List price: $69.99
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Description:

This introduction to noncommutative noetherian rings, accessible to anyone with a basic background in abstract algebra, can be used as a second-year graduate text, or as a self-contained reference. Extensive explanatory material is given, and exercises are integrated throughout. New material includes the basic types of quantum groups.
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Book details

List price: $69.99
Edition: 2nd
Copyright year: 2004
Publisher: Cambridge University Press
Publication date: 7/12/2004
Binding: Paperback
Pages: 370
Size: 5.75" wide x 8.75" long x 1.00" tall
Weight: 1.100
Language: English

K. R. Goodearl received his Ph.D. in 1971 from the University of Washington. Following an instructorship at the University of Chicago, he spent 19 years at the University of Utah. Since 1991, he has been a professor of mathematics at the University of California at Santa Barbara.

A few Noetherian rings
Skew polynomial rings
Prime ideals
Semisimple modules, Artinian modules, and torsionfree modules
Injective hulls
Semisimple rings of fractions
Modules over semiprime Goldie rings
Bimodules and affiliated prime ideals
Fully bounded rings
Rings and modules of fractions
Artinian quotient rings
Links between prime ideals
The Artin-Rees property
Rings satisfying the second layer condition
Krull dimension
Numbers of generators of modules
Transcendental division algebras