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Principal ideal theorem for Noetherian P. I. rings

โœ Scribed by Arun Vinayak Jategaonkar


Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
303 KB
Volume
35
Category
Article
ISSN
0021-8693

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๐Ÿ“œ SIMILAR VOLUMES


A Structure Theorem for Noetherian P.I.
โœ Amiram Braun; Charudatta R Hajarnavis ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 336 KB

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