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Nil＊-COHERENT RINGS

  • Xiang, Yueming (Department of Mathematics and Applied Mathematics Huaihua University) ;
  • Ouyang, Lunqun (Department of Mathematics Hunan University of Science and Technology)
  • Received : 2013.01.14
  • Published : 2014.03.31
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Abstract

Let R be a ring and $Nil_*$(R) be the prime radical of R. In this paper, we say that a ring R is left $Nil_*$-coherent if $Nil_*$(R) is coherent as a left R-module. The concept is introduced as the generalization of left J-coherent rings and semiprime rings. Some properties of $Nil_*$-coherent rings are also studied in terms of N-injective modules and N-flat modules.

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