In this article, we introduce the notion of concentric twin cotorsion pair on a triangulated
category. This notion contains the notions of t-structure, cluster tilting subcategory, co-t …

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 …

Motivated by its links to τ-tilting theory, we introduce left weak cotorsion pairs, as a
generalization of cotorsion pairs in module categories. Such pairs are also linked to co-t …

In the preceding part (I) of this paper, we showed that for any torsion pair (ie, t-structure
without the shift-closedness) in a triangulated category, there is an associated abelian …

In this article, we study the heart of a cotorsion pairs on an exact category and a triangulated
category in a unified method, by means of the notion of an extriangulated category. We …

In this article, we define the notion of $ n $-cotorsion pairs in triangulated categories, which
is a generalization of the classical cotorsion pairs. We prove that any mutation of an $ n …

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 …

In the paper of Keller and Reiten, it was shown that the quotient of a triangulated category
(with some conditions) by a cluster tilting subcategory becomes an abelian category. After …

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 …

We introduce the notion of homological systems Θ for triangulated categories. Homological
systems generalize, on one hand, the notion of stratifying systems in module categories, and …