[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2007.44.1.151

ON WEAK II-REGULARITY AND THE SIMPLICITY OF PRIME FACTOR RINGS

Kim, Jin-Yong (Department of Mathematics and Institute of Natural Sciences Kyung Hee University)
Jin, Hai-Lan (Department of Mathematics Yanbian University)

Publication Information

Bulletin of the Korean Mathematical Society / v.44, no.1, 2007 , pp. 151-156 More about this Journal

Abstract

A connection between weak ${\pi}-regularity$ and the condition every prime ideal is maximal will be investigated. We prove that a certain 2-primal ring R is weakly ${\pi}-regular$ if and only if every prime ideal is maximal. This result extends several known results nontrivially. Moreover a characterization of minimal prime ideals is also considered.

Keywords

completely prime ideals; 2-primal rings; weakly ${\pi}-regular$ rings; pseudo symmetric rings; minimal prime ideals;

Citations & Related Records

Times Cited By Web Of Science : 1 (Related Records In Web of Science)
Times Cited By SCOPUS : 1

Reference
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