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

Title & Authors
ON WEAK II-REGULARITY AND THE SIMPLICITY OF PRIME FACTOR RINGS
Kim, Jin-Yong; Jin, Hai-Lan;

Abstract
A connection between weak $\small{{\pi}-regularity}$ and the condition every prime ideal is maximal will be investigated. We prove that a certain 2-primal ring R is weakly $\small{{\pi}-regular}$ 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 $\small{{\pi}-regular}$ rings;pseudo symmetric rings;minimal prime ideals;
Language
English
Cited by
1.
SOME STUDIES ON 2-PRIMAL RINGS, (S,1)-RINGS AND THE CONDITION (KJ),;

대한수학회논문집, 2010. vol.25. 3, pp.343-347
1.
SOME STUDIES ON 2-PRIMAL RINGS, (S,1)-RINGS AND THE CONDITION (KJ), Communications of the Korean Mathematical Society, 2010, 25, 3, 343
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