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

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 44, Issue 1, 2007, pp.151-156
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2007.44.1.151

Title & Authors

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

Kim, Jin-Yong; Jin, Hai-Lan;

Kim, Jin-Yong; Jin, Hai-Lan;

Abstract

A connection between weak and the condition every prime ideal is maximal will be investigated. We prove that a certain 2-primal ring R is weakly 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 rings;pseudo symmetric rings;minimal prime ideals;

Language

English

Cited by

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