On bimodules over Noetherian PI rings

Amiram Braun

doi:10.1090/S0002-9939-09-10125-9

On bimodules over Noetherian PI rings

Amiram Braun

Department of Mathematics

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

Abstract

Let R be a prime Noetherian PI ring, and let I be an ideal in R satisfying xI ⊆ Ix for some x in R. We prove that xI = Ix. This is obtained as a corollary of a similar more general result, where I can be taken as any finitely generated torsion-free central R-bimodule.

Original language	English
Pages (from-to)	847-852
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	138
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9939-09-10125-9
State	Published - Mar 2010

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-09-10125-9

Cite this

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AB - Let R be a prime Noetherian PI ring, and let I be an ideal in R satisfying xI ⊆ Ix for some x in R. We prove that xI = Ix. This is obtained as a corollary of a similar more general result, where I can be taken as any finitely generated torsion-free central R-bimodule.

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U2 - 10.1090/S0002-9939-09-10125-9

DO - 10.1090/S0002-9939-09-10125-9

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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On bimodules over Noetherian PI rings

Abstract

ASJC Scopus subject areas

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