Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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On Idempotent Reflexive Rings

  • Kim, Jin Yong (Department of Mathematics and Institute of Natural Sciences, Kyung Hee University) ;
  • Baik, Jong Uk (Department of Mathematics, Kyung Hee University)
  • Received : 2005.09.14
  • Published : 2006.12.23
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Abstract

We introduce in this paper the concept of idempotent reflexive right ideals and concern with rings containing an injective maximal right ideal. Some known results for reflexive rings and right HI-rings can be extended to idempotent reflexive rings. As applications, we are able to give a new characterization of regular right self-injective rings with nonzero socle and extend a known result for right weakly regular rings.

Keywords

References

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