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In the present paper, we study the relationships of n-cotorsion pairs among three abelian categories in a recollement. Under certain conditions, we present an explicit construction of gluing of n-cotorsion pairs in an abelian category D with respect to n-cotorsion pairs in abelian categories D^', D^'' respectively. On the other hand, we study the construction of n-cotorsion pairs in abelian categories D^', D^'' obtained from n-cotorsion pairs in an abelian category D.
Cao et al. (Wed,) studied this question.
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