Foxby equivalences associated to Gorenstein categories 𝒢(𝒳,𝒴,𝒵) |
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Authors: | Wanru Zhang Zhongkui Liu Xiaoyan Yang |
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Institution: | Department of Mathematics, Northwest Normal University, Lanzhou, Gansu, China |
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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. |
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Keywords: | Auslander class Bass class Foxby equivalence Gorenstein category |
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