Extriangulated categories were introduced by Nakaoka and Palu by extracting the
similarities between exact categories and triangulated categories. Nakaoka and Palu …

Extriangulated categories were introduced by Nakaoka and Palu via extracting the
similarities between exact categories and triangulated categories. In this article we introduce …

Motivated by the concept of a torsion pair in a pre-triangulated category induced by
Beligiannis and Reiten, the notion of a left (right) torsion pair in the left (right) triangulated …

Extriangulated categories were introduced by Nakaoka and Palu as a simultaneous
generalization of exact categories and triangulated categories. In this paper, we show that …

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 …

Let C be a triangulated category. We first introduce the notion of balanced pairs in C, and
then establish the bijective correspondence between balanced pairs and proper classes ξ …

A notion of mutation of subcategories in a right triangulated category is defined in this article.
When (𝒵, 𝒵) is a 𝒟-mutation pair in a right triangulated category 𝒞, the quotient category 𝒵/𝒟 …

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 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 …

Extriangulated categories were introduced by Nakaoka and Palu by extracting the
similarities between exact categories and triangulated categories. A notion of mutation of …