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On Idempotent Reflexive Rings

Jin Yong Kim|Jong Uk Baik
경북대학교 자연과학대학 수학과|2006.12|Kyungpook Mathematical Journal|제46권 제4호|pp. 597-601

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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.

참고문헌 (7)

  1. "A characterization of minimal primeideals", 40, pp.223~236 (1998)
  2. "Comm. Algebra", 9 17, pp.1709~1724 (1981)
  3. "Rings all of whose nitely generated modules are injective", 14, pp.645~650 (1964)
  4. "On the injective and flatness of certain cyclic modules", 48, pp.21~25 (1975)
  5. "Prime ideals and sheaf representation of a pseudo symmetric ring", 184, pp.43~60 (1973)
  6. "On von Neumann regular rings II", 39, pp.167~170 (1976)
  7. "Hereditary rings containing an injective maximal left ideal", pp.4473 4473~4479 (1993)

관련 논문AI추천

Reflexive property on idempotents이양, 곽태근대한수학회 · 대한수학회보2013 · 제50권 제6호Rings whose maximal one-sided ideals are two-sided이양, 허찬, Chol On Kim, Sung Hee Jang대한수학회 · 대한수학회보2002 · 제39권 제3호On rings containing a p-injective maximal left idealJin Yong Kim, Nam Kyun Kim대한수학회 · 대한수학회논문집2003 · 제18권 제4호On properties related to reversible rings이양, 김남균, 류성주, 정다운대한수학회 · 대한수학회보2015 · 제52권 제1호On Semicommutative Modules and RingsAbdullah Harmanci, Nazim Agayev경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제1호ON REFLEXIVE PRINCIPALLY QUASI-BAER RINGS김진용강원경기수학회 · 한국수학논문집2009 · 제17권 제3호

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