Tilting pairs in extriangulated categories
نویسندگان
چکیده
Extriangulated categories were introduced by Nakaoka and Palu to give a unification of properties in exact extension-closed subcategories triangulated categories. A notion tilting pairs an extriangulated category is this paper. We Bazzoni characterization setting. also obtain Auslander-Reiten correspondence which classifies finite $\mathcal{C}$-tilting for certain self-orthogonal subcategory $\mathcal{C}$ with some assumptions. This generalizes the known results given Wei Xi finitely generated modules over Artin algebras, thereby providing new insights
منابع مشابه
Tilting in module categories
Let M be a module over an associative ring R and σ[M ] the category of M -subgenerated modules. Generalizing the notion of a projective generator in σ[M ], a module P ∈ σ[M ] is called tilting in σ[M ] if (i) P is projective in the category of P -generated modules, (ii) every P -generated module is P presented, and (iii) σ[P ] = σ[M ]. We call P self-tilting if it is tilting in σ[P ]. Examples ...
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 2021
ISSN: ['1464-3839', '0013-0915']
DOI: https://doi.org/10.1017/s0013091521000717