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- W4310647538 abstract "Let $R$ be a commutative Noetherian ring with identity and $C$ a semidualizing module for $R$. Let $mathscr{P}_C(R)$ and $mathscr{I}_C (R)$ denote, respectively, the classes of $C$-projective and $C$-injective $R$-modules. We show that their induced Ext bifunctors $text{Ext}^i_{mathscr{P}_C}(-,sim)$ and $text{Ext}^i_{mathscr{I}_C}(-,sim)$ coincide for all $igeq 0$ if and only if $C$ is projective. Also, we provide some other criteria for $C$ to be projective by using some special cotorsion theories." @default.
- W4310647538 created "2022-12-14" @default.
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- W4310647538 date "2022-06-18" @default.
- W4310647538 modified "2023-09-27" @default.
- W4310647538 title "The balance of relative Ext groups defined by semi dualizing modules" @default.
- W4310647538 doi "https://doi.org/10.48550/arxiv.2206.09201" @default.
- W4310647538 hasPublicationYear "2022" @default.
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