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

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 …

This paper is devoted to constructing some recollements of additive categories associated to
concentric twin cotorsion pairs on an extriangulated category. As an application, this result …

Let $(\mathcal A,\mathcal B,\mathcal C) $ be a recollement of extriangulated categories. In
this paper, we provide bounds on the coresolution dimensions of the subcategories involved …

Let $\mathcal B $ be an extriangulated category with enough projectives and enough
injectives. We define a proper $ m $-term subcategory $\mathcal G $ on $\mathcal B …

A notion of n-cotorsion pairs in an extriangulated category with enough projectives and
enough injectives is defined in this paper. We show that there exists a one-to-one …

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 article, we introduce the notion of {\it concentric twin cotorsion pair} on a triangulated
category. This notion contains the notions of $ t $-structure, cluster tilting subcategory, co-$ t …

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 …