Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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MC2 Rings

  • Wei, Jun-Chao (School of Mathematics Science, Yangzhou University)
  • Received : 2006.12.09
  • Published : 2008.12.31
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Abstract

In this paper, we first study some characterizations of left MC2 rings. Next, by introducing left nil-injective modules, we discuss and generalize some well known results for a ring whose simple singular left modules are Y J-injective. Finally, as a byproduct of these results we are able to show that if R is a left MC2 left Goldie ring whose every simple singular left R-module is nil-injective and GJcp-injective, then R is a finite product of simple left Goldie rings.

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References

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Cited by

  1. 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
  2. Left Rings vol.2011, 2011, https://doi.org/10.1155/2011/294301