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

Amiram Braun

doi:10.1007/BF02767357

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

Amiram Braun

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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/P² is left (right) finitely generated. This replaces the noetherian assumption on R appearing in [BW], using an entirely different technique.

Original language	English
Pages (from-to)	113-122
Number of pages	10
Journal	Israel Journal of Mathematics
Volume	62
Issue number	1
DOIs	https://doi.org/10.1007/BF02767357
State	Published - Feb 1988

ASJC Scopus subject areas

General Mathematics

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10.1007/BF02767357

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title = "P.I. rings and the localization at height 1 prime ideals",

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.",

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AB - 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.

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JO - Israel Journal of Mathematics

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

Abstract

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