Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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DING PROJECTIVE DIMENSION OF GORENSTEIN FLAT MODULES

  • Wang, Junpeng (Department of Mathematics Northwest Normal University)
  • Received : 2016.06.30
  • Accepted : 2017.08.08
  • Published : 2017.11.30
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Abstract

Let R be a Ding-Chen ring. Yang [24] and Zhang [25] asked whether or not every R-module has finite Ding projective or Ding injective dimension. In this paper, we give a new characterization of that all modules have finite Ding projective and Ding injective dimension in terms of the relationship between Ding projective and Gorenstein flat modules. We also give an example to obtain negative answer to the above question.

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References

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