Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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ON REFLEXIVE PRINCIPALLY QUASI-BAER RINGS

  • Kim, Jin Yong (Department of Applied Mathematics and Institute of Natural Sciences Kyung Hee University)
  • Received : 2009.04.22
  • Published : 2009.06.30
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Abstract

We investigate in this paper some equivalent conditions for right principally quasi-Baer rings to be reflexive. Using these results we are able to prove that if R is a reflexive right principally quasi-Baer ring then R is a left principally quasi-Baer ring. In addition, for an idempotent reflexive principally quasi-Baer ring R we show that R is prime if and only if R is torsion free.

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References

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