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- W2890869718 abstract "Let $R$ and $S$ be any rings and $_RC_S$ a semidualizing bimodule, and let $mathcal{A}_C(R^{op})$ and $mathcal{B}_C(R)$ be the Auslander and Bass classes respectively. Then both the pairs $$(mathcal{A}_C(R^{op}),mathcal{B}_C(R)) {rm and} (mathcal{B}_C(R),mathcal{A}_C(R^{op}))$$ are coproduct-closed and product-closed duality pairs and both $mathcal{A}_C(R^{op})$ and $mathcal{B}_C(R)$ are covering and preenveloping; in particular, the former duality pair is perfect. Moreover, if $mathcal{B}_C(R)$ is enveloping in $Mod R$, then $mathcal{A}_C(S)$ is enveloping in $Mod S$. Then some applications to the Auslander projective dimension of modules are given." @default.
- W2890869718 created "2018-09-27" @default.
- W2890869718 creator A5025572010 @default.
- W2890869718 date "2018-09-24" @default.
- W2890869718 modified "2023-09-24" @default.
- W2890869718 title "Duality Pairs Induced by Auslander and Bass Classes" @default.
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- W2890869718 doi "https://doi.org/10.48550/arxiv.1809.08850" @default.
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