대한수학회지 (Journal of the Korean Mathematical Society)

  • 제61권1호
  • /
  • Pages.29-40
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  • 2024
  • /
  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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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)
  • 투고 : 2022.08.08
  • 심사 : 2023.10.19
  • 발행 : 2024.01.01
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초록

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.

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과제정보

This work was financially supported by NSFC (12061026).

참고문헌

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