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A dimension theorem for division rings

โœ Scribed by Richard Resco


Book ID
112885671
Publisher
The Hebrew University Magnes Press
Year
1980
Tongue
English
Weight
314 KB
Volume
35
Category
Article
ISSN
0021-2172

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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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