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- Title
Resolving subcategories and dimensions in recollements of extriangulated categories.
- Authors
Ma, Xin; Zhao, Tiwei; Zhuang, Xin
- Abstract
Recently, Wang, Wei and Zhang introduced the notion of recollements of extriangulated categories. In this paper, let (A , B , C) be a recollement of extriangulated categories. We provide some methods to construct resolving subcategories involved in a recollement and study how they are related. As applications of the Auslander–Reiten correspondence, we get the gluing of cotilting modules in a recollement of module categories for artin algebras. We also give some bounds of resolution dimensions of the categories involved in (A , B , C) with respect to resolving subcategories, which generalize some known results.
- Publication
Bulletin of the Malaysian Mathematical Sciences Society, 2023, Vol 46, Issue 1, p1
- ISSN
0126-6705
- Publication type
Academic Journal
- DOI
10.1007/s40840-022-01425-7