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On bimodules over Noetherian PI rings

Author(s): Amiram Braun
Journal: Proc. Amer. Math. Soc.
MSC (2000): Primary 16P40, 16R20; Secondary 16N20, 16D20
Posted: October 22, 2009
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Abstract: Let $ R$ be a prime Noetherian PI ring, and let $ I$ be an ideal in $ R$ satisfying $ xI \subseteq 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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Additional Information:

Amiram Braun
Affiliation: Department of Mathematics, University of Haifa, Haifa, Israel 31905
Email: abraun@math.haifa.ac.il

DOI: 10.1090/S0002-9939-09-10125-9
PII: S 0002-9939(09)10125-9
Received by editor(s): April 18, 2009,
Received by editor(s) in revised form: June 23, 2009, and July 19, 2009
Posted: October 22, 2009
Communicated by: Martin Lorenz
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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