On semiprime P. I. rings-Reference-Cited by-同舟云学术

On semiprime P. I. rings

Published:1973 Issue:2 Volume:40 Page:365-369
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Martindale Wallace S.

Abstract

The main results proved in this paper are that if R R is a semiprime ring satisfying a polynomial identity then (1) the maximal right quotient ring of R R is also P.I. and (2) every essential one-sided ideal of R R contains an essential two-sided ideal of R R .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1973-040-02/S0002-9939-1973-0318215-3/S0002-9939-1973-0318215-3.pdf

Reference5 articles.

1. Structure of semiprime P.I. rings;Fisher, Joe W.;Proc. Amer. Math. Soc.,1973

2. Central polynomials for matrix rings;Formanek, Edward;J. Algebra,1972

3. Regular elements in 𝑃.𝐼.-rings;Herstein, I. N.;Pacific J. Math.,1971

4. Some results on the center of a ring with polynomial identity;Rowen, Louis;Bull. Amer. Math. Soc.,1973

5. On rings of which any one-sided quotient rings are two-sided;Utumi, Y.;Proc. Amer. Math. Soc.,1963

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