Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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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)
  • Received : 2012.11.13
  • Accepted : 2013.04.20
  • Published : 2014.09.23
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Abstract

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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References

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