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arXiv · 2407.06364

Cotilting modules and Gorenstein homological dimensions

Kamran Divaani-Aazar·Ali Mahin Fallah·Massoud Tousi
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Abstract

For a dualizing module $D$ over a commutative Noetherian ring $R$ with identity, it is known that its Auslander class $\mathscr{A}_D\left(R\right)$ (respectively, Bass class $\mathscr{B}_D\left(R\right)$) is characterized as those $R$-modules with finite Gorenstein flat dimension (respectively, finite Gorenstein injective dimension). We establish an analogue of this result in the context of cotilting modules over general Noetherain rings.

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Kamran Divaani-Aazar, Ali Mahin Fallah, Massoud Tousi. 2024-07-08. Cotilting modules and Gorenstein homological dimensions. https://arxiv.org/abs/2407.06364

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