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

Kim, Jin-Yong; Jin, Hai-Lan

doi:10.4134/BKMS.2007.44.1.151

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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;

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;

Language

English

Cited by

1time(s) in KSCD

SOME STUDIES ON 2-PRIMAL RINGS, (S,1)-RINGS AND THE CONDITION (KJ),;

대한수학회논문집, 2010. vol.25. 3, pp.343-347

1time(s) in CrossRef

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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