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Recollements and n-cotorsion pairs

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].
Language: English
Open Access status: green
OpenAlex ID: W7160036218
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