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Gorenstein强FI-内射模
Gorenstein Strongly FI-Injetive Modules

DOI: 10.12677/PM.2021.115110, PP. 966-972

Keywords: 强FI-内射模，Gorenstein强FI-内射模，余挠对
Strongly FI-Injetive Module, Gorenstein Strongly FI-Injetive Module, Cotorsion Pair

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Abstract:

引入强FI-内射模和Gorenstein强FI-内射模，讨论了这两类模的同调性质，证明了(⊥1SFI(R),SFI(R))是遗传完备的余挠对。
The strongiy FI-injective modules and the Gorenstein strongly FI-injective modules are introduced, and the homology properties of these two types of modules are discussed. It is proved that (⊥1SFI(R),SFI(R)) is a hereditary-complete cotorsion pair.

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