Gorenstein $n$-weak injective and Gorenstein $n$-weak flat modules under‎ ‎excellent extensions

Document Type : Research Paper

Author

Department of Mathematics, Faculty of Sciences, Payame Noor University, Tehran, Iran

Abstract

Let $R$ be an associative ring and let $n$ be a non-negative integer‎. ‎In this paper‎, ‎we consider $n$-super finitely presented‎, ‎Gorenstein $n$-weak injective and Gorenstein $n$-weak flat modules under change of rings‎. For‎ ‎an excellent extension‎ $S\geq R$, ‎w‎e show ‎that the Gorenstein $n$-super finitely presented dimensions (resp‎. ‎weak Gorenstein $n$-super finitely presented dimensions) of rings $R$ and $S$ coincide‎.

Keywords

References

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History

  • Receive Date: 12 August 2022
  • Revise Date: 04 January 2023
  • Accept Date: 19 January 2023

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