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

Access to Document

10.1090/S0002-9939-09-10125-9

Cite this

@article{ceebb2694d3649288c2ee0170987c07c,

title = "On bimodules over Noetherian PI rings",

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.",

author = "Amiram Braun",

year = "2010",

month = mar,

doi = "10.1090/S0002-9939-09-10125-9",

language = "English",

volume = "138",

pages = "847--852",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "3",

}

TY - JOUR

T1 - On bimodules over Noetherian PI rings

AU - Braun, Amiram

PY - 2010/3

Y1 - 2010/3

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=77951453308&partnerID=8YFLogxK

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

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

M3 - Article

AN - SCOPUS:77951453308

SN - 0002-9939

VL - 138

SP - 847

EP - 852

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 3

ER -

On bimodules over Noetherian PI rings

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this