Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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A Note on GQ-injectivity

  • Kim, Jin-Yong (Department of Mathematics and Institute of Natural Sciences Kyung Hee University)
  • Received : 2008.09.07
  • Accepted : 2008.11.04
  • Published : 2009.06.30
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Abstract

The purpose of this note is to improve several known results on GQ-injective rings. We investigate in this paper the von Neumann regularity of left GQ-injective rings. We give an answer a question of Ming in the positive. Actually it is proved that if R is a left GQ-injective ring whose simple singular left R-modules are GP-injective then R is a von Neumann regular ring.

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References

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