P.I. rings and the localization at height 1 prime ideals
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LetR be a prime P.I. ring, finitely generated over a central noetherian subring. LetP be a height one prime ideal inR. We establish a finite criteria for the left (right) Ore localizability ofP, providedP/P 2 is left (right) finitely generated. This replaces the noetherian assumption onR appearing in [BW], using an entirely different technique.
KeywordsPrime Ideal Polynomial Identity Noetherian Ring Invertible Element Quotient Ring
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