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- W4226069306 abstract "We prove that a certain eventually homological isomorphism between module categories induces a triangle equivalence between their singularity categories, Gorenstein defect categories and the stable categories of Gorenstein projective modules. Further, we show that Auslander-Reiten conjecture and Gorenstein symmetry conjecture can be reduced by eventually homological isomorphisms. Applying the results to arrow removal and vertex removal, we describe the Gorenstein projective modules over some non-monomial algebras, and we verify the Auslander-Reiten conjecture for certain algebras." @default.
- W4226069306 created "2022-05-05" @default.
- W4226069306 creator A5066833676 @default.
- W4226069306 date "2022-03-17" @default.
- W4226069306 modified "2023-09-25" @default.
- W4226069306 title "Eventually homological isomorphisms and Gorenstein projective modules" @default.
- W4226069306 doi "https://doi.org/10.48550/arxiv.2203.09211" @default.
- W4226069306 hasPublicationYear "2022" @default.
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