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- W4366193787 abstract "We give a new characterization of silting subcategories in the stable category of a Frobenius extriangulated category, generalizing the result of Di et al. (J. Algebra 525 (2019) 42-63) about the Auslander-Reiten type correspondence for silting subcategories over triangulated categories. More specifically, for any Frobenius extriangulated category $mathcal{C}$, we establish a bijective correspondence between silting subcategories of the stable category $underline{mathcal{C}}$ and certain covariantly finite subcategories of $mathcal{C}$. As a consequence, a characterization of silting subcategories in the stable category of a Frobenius exact category is given. This result is applied to homotopy categories over abelian categories with enough projectives, derived categories over Grothendieck categories with enough projectives as well as to the stable category of Gorenstein projective modules over a ring $R$." @default.
- W4366193787 created "2023-04-19" @default.
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- W4366193787 date "2020-12-07" @default.
- W4366193787 modified "2023-10-15" @default.
- W4366193787 title "A new characterization of silting subcategories in the stable category of a Frobenius extriangulated category" @default.
- W4366193787 doi "https://doi.org/10.48550/arxiv.2012.03779" @default.
- W4366193787 hasPublicationYear "2020" @default.
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