Abstract
Recently, Wang, Wei and Zhang introduced the notion of recollements of extriangulated categories. In this paper, let \(({\mathcal {A}},{\mathcal {B}},{\mathcal {C}})\) 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 \(({\mathcal {A}},{\mathcal {B}},{\mathcal {C}})\) with respect to resolving subcategories, which generalize some known results.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
