Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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DING INJECTIVE MODULES OVER FROBENIUS EXTENSIONS

  • Wang, Zhanping (Department of Mathematics Northwest Normal University) ;
  • Yang, Pengfei (Department of Mathematics Northwest Normal University) ;
  • Zhang, Ruijie (Department of Mathematics Northwest Normal University)
  • Received : 2020.03.04
  • Accepted : 2020.07.09
  • Published : 2021.01.31
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Abstract

In this paper, we study Ding injective modules over Frobenius extensions. Let R ⊂ A be a separable Frobenius extension of rings and M any left A-module, it is proved that M is a Ding injective left A-module if and only if M is a Ding injective left R-module if and only if A ⊗R M (HomR(A, M)) is a Ding injective left A-module.

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References

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