In this article, we prove that if ( A , B, C) is a recollement of extriangulated categories, then n-cotorsion pairs in A and C can induce n-cotorsion pairs in B. Conversely, this holds true under natural assumptions. Besides, we give mild conditions on a pseudo cluster tilting subcategory on the middle category of a recollement of extriangulated categories, for the corresponding additive quotients to form a recollement of semi-abelian categories.
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He et al. (2024) studied this question.
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