Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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GORENSTEIN FPn-INJECTIVE MODULES WITH RESPECT TO A SEMIDUALIZING BIMODULE

  • Zhiqiang Cheng ( Department of Mathematics Hangzhou Dianzi University and College of Information Science and Technology/Cyber Security Jinan University) ;
  • Guoqiang Zhao (Department of Mathematics Hangzhou Dianzi University)
  • Received : 2022.08.08
  • Accepted : 2023.10.19
  • Published : 2024.01.01
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Abstract

Let S and R be rings and SCR a semidualizing bimodule. We introduce the notion of GC-FPn-injective modules, which generalizes GC-FP-injective modules and GC-weak injective modules. The homological properties and the stability of GC-FPn-injective modules are investigated. When S is a left n-coherent ring, several nice properties and new Foxby equivalences relative to GC-FPn-injective modules are given.

Keywords

Acknowledgement

This work was financially supported by NSFC (12061026).

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