This analysis reveals the relationship between cotilting modules, Auslander and Bass classes in Noetherian rings, indicating further exploration in homological dimensions.
For a dualizing module D over a commutative Noetherian ring R with identity, it is known that its Auslander class AD(R) (respectively, Bass class BD(R)) 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 Noetherian rings.
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Divaani-Aazar et al. (2025) studied this question.
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