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.
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 callMore From: Bulletin of the Malaysian Mathematical Sciences Society
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
