On the symmetry of the Goldie and CS conditions for prime rings-Reference-Cited by-同舟云学术

On the symmetry of the Goldie and CS conditions for prime rings

Published:2000-05-02 Issue:11 Volume:128 Page:3153-3157
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Huynh Dinh,Jain S.,López-Permouth S.

Abstract

It is shown that: (a) If R R is a prime right Goldie right CS ring with right uniform dimension at least 2, then R R is left Goldie, left CS; (b) A semiprime ring R R is right Goldie left CS iff R R is left Goldie, right CS.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2000-128-11/S0002-9939-00-05381-8/S0002-9939-00-05381-8.pdf

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3. Pure and Applied Mathematics, No. 33;Goodearl, K. R.,1976

4. The Carus Mathematical Monographs, No. 15;Herstein, I. N.,1968

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