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 …

The representations of a quiver Q over a field k (the kQ-modules, where kQ is the path
algebra of Q over k) have been studied for a long time, and one knows quite well the …

We study homological properties of contravariantly finite rigid subcategories of an arbitrary
triangulated or abelian category, concentrating at the class of higher cluster tilting …

In the papers of Nakaoka, he introduced the notion of hearts of (twin) cotorsion pairs on
triangulated categories and showed that they have structures of (semi-) abelian categories …

Let (C, E, s) be an extriangulated category. We show that certain quotient categories of
extriangulated categories are equivalent to module categories by some restriction of functor …

For a triangulated category TT, if CC is a cluster-tilting subcategory of TT, then the factor
category T/CT/C is an abelian category. Under certain conditions, the converse also holds …

In this work we introduce the notion of higher $\mathbb {E} $-extension groups for an
extriangulated category $\mathcal {C} $ and study the quotients $\mathcal {X} _ {n+ …

In this paper, we consider a kind of ideal quotient of an extriangulated category such that the
ideal is the kernel of a functor from this extriangulated category to an abelian category. We …

The notion of a pseudo cluster tilting subcategory $\mathcal X $ in an extriangulated
category $\mathcal C $ is defined in this article. We prove that the quotient category …

We introduce the concept of a pseudo-cluster-tilting subcategory from the viewpoint of the
fact that the quotient of an exact category by a cluster-tilting subcategory is an abelian …