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In this paper, we study the relationship among three n-cluster tilting subcategories of
triangulated categories in a recollement. Let (D′, D, D ″) be a recollement of triangulated …

In this paper, we prove that if a triangulated category D admits a recollement relative to
triangulated categories D'and D'', then the abelian category D/T admits a recollement …

In the present article, we study the relationship of cotorsion pairs among three triangulated
categories in a recollement. We show that if a triangulated category 𝒟 admits a recollement …

In this article, we prove that if $(\mathcal A,\mathcal B,\mathcal C) $ is a recollement of
extriangulated categories, then $ n $-cotorsion pairs in $\mathcal A $ and $\mathcal C $ can …

We prove that certain subquotient categories of extriangulated categories are abelian. As a
particular case, if an extriangulated category CC has a cluster-tilting subcategory XX, then …

Let $\mathscr {C} $ be an extriangulated category with enough projectives and injectives.
We give a new definition of tilting subcategories of $\mathscr {C} $ and prove it coincides …

In this paper, the authors introduce a new definition of∞-tilting (resp. cotilting) subcategories
with infinite projective dimensions (resp. injective dimensions) in an extriangulated category …

In this article, we prove that if (A, B, C) is a recollement of extriangulated categories, then
torsion pairs in A and C can induce torsion pairs in B, and the converse holds under natural …

We give a simultaneous generalization of recollements of abelian categories and
triangulated categories, which we call recollements of extriangulated categories. For a …