Kyungpook Mathematical Journal

  • 제54권3호
  • /
  • Pages.471-476
  • /
  • 2014
  • /
  • 1225-6951(pISSN)
  • /
  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Rings Whose Simple Singular Modules are PS-Injective

  • Xiang, Yueming (Department of Mathematics and Applied Mathematics, Huaihua University) ;
  • Ouyang, Lunqun (Department of Mathematics, Hunan University of Science and Technology)
  • 투고 : 2012.11.13
  • 심사 : 2013.04.20
  • 발행 : 2014.09.23
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초록

Let R be a ring. A right R-module M is PS-injective if every R-homomorphism $f:aR{\rightarrow}M$ for every principally small right ideal aR can be extended to $R{\rightarrow}M$. We investigate, in this paper, rings whose simple singular modules are PS-injective. New characterizations of semiprimitive rings and semisimple Artinian rings are given.

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참고문헌

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