We introduce the notion of an exact dg category, which is a simultaneous generalization of
the notions of exact category in the sense of Quillen and of pretriangulated dg category in …

We extend results of Br\" ustle-Yang on ideal quotients of 2-term subcategories of perfect
derived categories of non-positive dg algebras to a relative setting. We find a new …

In this article, we initiate the study of hereditary extriangulated categories. Many important
categories arising in representation theory in connection with various theories of mutation …

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 study a class of generalized cluster categories arising from relative Ginzburg algebras of
triangulated marked surfaces without punctures. We show that these categories describe $1 …

In a survey paper in 2011, Amiot proposed a conjectural characterisation of the cluster
categories which were conceived in the mid 2000s to lift the combinatorics of Fomin …

Let $\mathcal {C} $ be an extriangulated category and let $\mathcal {R}\subseteq\mathcal
{C} $ be a rigid subcategory. Generalizing Iyama--Yang silting reduction, we devise a …

Extriangulated categories give a simultaneous generalization of triangulated categories and
exact categories. In this paper, we study silting subcategories of an extriangulated category …

Let C be an extriangulated category and τ be any n-cluster tilting subcategory of C. We
consider the index with respect to τ and introduce the index Grothendieck group of τ. Using …

We give a reduction theorem for silting intervals in extriangulated categories, which we call"
silting interval reduction".%{In triangulated categories, it generalizes Pauksztello …