P.I. rings and the localization at height 1 prime ideals

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Abstract

Let R be a prime P.I. ring, finitely generated over a central noetherian subring. Let P be a height one prime ideal in R. We establish a finite criteria for the left (right) Ore localizability of P, provided P/P 2 is left (right) finitely generated. This replaces the noetherian assumption on R appearing in [BW], using an entirely different technique.

Original languageEnglish
Pages (from-to)113-122
Number of pages10
JournalIsrael Journal of Mathematics
Volume62
Issue number1
DOIs
StatePublished - Feb 1988

ASJC Scopus subject areas

  • Mathematics (all)

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