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Foxby equivalences associated to Gorenstein categories 𝒢(𝒳,𝒴,𝒵)
Authors:Wanru Zhang  Zhongkui Liu  Xiaoyan Yang
Institution:Department of Mathematics, Northwest Normal University, Lanzhou, Gansu, China
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 ?C(S) in a general setting. Our results provide a unification and generalization of some known results and generate some new Foxby equivalences of categories.
Keywords:Auslander class  Bass class  Foxby equivalence  Gorenstein category
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