Year: 2026
Type: article
Abstract: In this paper, we study the relationships of [Formula: see text]-cotorsion pairs among three abelian categories in a recollement. Under certain conditions, we present an explicit construction of gluing of [Formula: see text]-cotorsion pairs in an abelian category [Formula: see text] with respect to [Formula: see text]-cotorsion pairs in abelian categories [Formula: see text], [Formula: see text], respectively. On the other hand, we study the construction of [Formula: see text]-cotorsion pairs in abelian categories [Formula: see text], [Formula: see text] obtained from [Formula: see text]-cotorsion pairs in an abelian category [Formula: see text].
Authors: Weiqing Cao, Jiaqun Wei, Kaili Wu
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funders: National Natural Science Foundation of China, Jiangsu Normal University, Natural Science Foundation of Jiangsu Province, Priority Academic Program Development of Jiangsu Higher Education Institutions, Natural Science Research of Jiangsu Higher Education Institutions of China, Natural Science Foundation of Zhejiang Province
OpenAlex ID: W7160036218
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