Foxby equivalences associated to Gorenstein categories 𝒢(𝒳,𝒴,𝒵)

ABSTRACT In this paper, we establish some new Foxby equivalences between some Gorenstein subcategories in the Auslander class 𝒜C(R) and that in the Bass class ℬC(S) in a general setting. Our results provide a unification and generalization of some known results and generate some new Foxby equivalences of categories.

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