A Structure Theorem for Noetherian P.I.
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Amiram Braun; Charudatta R Hajarnavis
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Article
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1999
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Elsevier Science
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English
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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