Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON RINGS CONTAINING A P-INJECTIVE MAXIMAL LEFT IDEAL

  • Kim, Jin-Yong (Department of Mathematics and Institute of Natural Sciences Kyung Hee University) ;
  • Kim, Nam-Kyun (Division of General Education Hanbat National University)
  • Published : 2003.10.01
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Abstract

We investigate in this paper rings containing a finitely generated p-injective maximal left ideal. We show that if R is a semiprime ring containing a finitely generated p-injective maximal left ideal, then R is a left p-injective ring. Using this result we are able to give a new characterization of von Neumann regular rings with nonzero socle.

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References

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Cited by

  1. Left Rings vol.2011, 2011, https://doi.org/10.1155/2011/294301
  2. On Rings Containing a Non-essential nil-Injective Maximal Left Ideal vol.52, pp.2, 2012, https://doi.org/10.5666/KMJ.2012.52.2.179