Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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On Rings Containing a Non-essential nil-Injective Maximal Left Ideal

  • Wei, Junchao (School of Mathematics, Yangzhou University) ;
  • Qu, Yinchun (School of Mathematics, Yangzhou University)
  • Received : 2010.09.25
  • Accepted : 2010.11.16
  • Published : 2012.06.23
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Abstract

We investigate in this paper rings containing a non-essential $nil$-injective maximal left ideal. We show that if R is a left MC2 ring containing a non-essential $nil$-injective maximal left ideal, then R is a left $nil$-injective ring. Using this result, some known results are extended.

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References

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