Kyungpook Mathematical Journal

  • 제46권4호
  • /
  • Pages.597-601
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  • 2006
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
권호 표지

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)
  • 투고 : 2005.09.14
  • 발행 : 2006.12.23
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초록

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.

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참고문헌

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