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An introduction to noncommutative noetherian rings

Author: K R Goodearl; Robert B Warfield
Publisher: Cambridge, U.K. ; New York : Cambridge University Press, ©2004.
Series: London Mathematical Society student texts.
Edition/Format:   Print book : English : 2nd edView all editions and formats
Database:WorldCat
Summary:
This introduction to noncommutative noetherian rings is intended to be accessible to anyone with a basic background in abstract algebra.
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Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: K R Goodearl; Robert B Warfield
ISBN: 0521836875 9780521836876 0521545374 9780521545372
OCLC Number: 53170233
Description: xxiv, 344 p. ; 24 cm.
Contents: 1. A few Noetherian rings; 2. Skew polynomial rings; 3. Prime ideals; 4. Semisimple modules, Artinian modules, and torsionfree modules; 5. Injective hulls; 6. Semisimple rings of fractions; 7. Modules over semiprime Goldie rings; 8. Bimodules and affiliated prime ideals; 9. Fully bounded rings; 10. Rings and modules of fractions; 11. Artinian quotient rings; 12. Links between prime ideals; 13. The Artin-Rees property; 14. Rings satisfying the second layer condition; 15. Krull dimension; 16. Numbers of generators of modules; 17. Transcendental division algebras.
Series Title: London Mathematical Society student texts.
Responsibility: K.R. Goodearl, R.B. Warfield, Jr.

Abstract:

This 2004 introduction to noncommutative noetherian rings is intended to be accessible to anyone with a basic background in abstract algebra.  Read more...
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'... well written and perfectly suits for both students beginning to study Ring theory and established mathematicians that are just interested in learning basics of the theory of Noetherian rings.' Read more...

 
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