• Title/Summary/Keyword: $G_C-FP_n$-injective module

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GORENSTEIN FPn-INJECTIVE MODULES WITH RESPECT TO A SEMIDUALIZING BIMODULE

  • Zhiqiang Cheng;Guoqiang Zhao
    • Journal of the Korean Mathematical Society
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    • v.61 no.1
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    • pp.29-40
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    • 2024

  • 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.

  • https://doi.org/10.4134/JKMS.j220398 인용 PDF