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Noetherian Rings of Finite Global Dimension

โœ Scribed by Brown, K. A.; Hajarnavis, C. R.; Maceacharn, A. B.


Book ID
120101413
Publisher
Oxford University Press
Year
1982
Tongue
English
Weight
555 KB
Volume
s3-44
Category
Article
ISSN
0024-6115

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Let A be the Artin radical of a Noetherian ring R of global dimension two. We show that A s ReR where e is an idempotent; A contains a heredity chain of ideals and the global dimensions of the rings RrA and eRe cannot exceed two. Assume further than R is a polynomial identity ring. Let P be a minima

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