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 …

Recollements associated to cotorsion pairs Page 1 Journal of Algebra and Its Applications Vol. 17,
No. 5 (2018) 1850141 (15 pages) c© World Scientific Publishing Company DOI …

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 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 …

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 …

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 …

In this paper, we study (complete) cotorsion pairs in extriangulated categories. First, we
study a relationship between an interval of the poset of cotorsion pairs and the poset of …

It was shown recently that the heart of a twin cotorsion pair on an extriangulated category is
semi-abelian. In this article, we consider a special class of hearts of twin cotorsion pairs …