Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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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)
  • Published : 2007.02.28
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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.

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References

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  1. SOME STUDIES ON 2-PRIMAL RINGS, (S,1)-RINGS AND THE CONDITION (KJ) vol.25, pp.3, 2010, https://doi.org/10.4134/CKMS.2010.25.3.343