Our first aim is to provide an analog of the Gabriel-Quillen embedding theorem for n-exact
categories. Also we give an example of an n-exact category that in not an n-cluster tilting …

In this paper, we introduce-abelian and-exact categories by axiomatizing properties of-
cluster tilting subcategories. We study these categories and show that every-cluster tilting …

Abstract Herschend-Liu-Nakaoka introduced the notion of n-exangulated categories. It is not
only a higher dimensional analogue of extriangulated categories defined by Nakaoka-Palu …

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 …

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 prove that some subquotient categories of exact categories are abelian. This
generalizes a result by Koenig–Zhu in the case of (algebraic) triangulated categories. As a …

Abstract In n-Exangulated Categories (I), we introduced the notion of n-exangulated
categories for each positive integer n. It is not only a higher dimensional analogue of …

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 study the relationship among three n-cluster tilting subcategories of
triangulated categories in a recollement. Let (D′, D, D ″) be a recollement of triangulated …

Let $\mathcal C $ be a Krull-Schmidt triangulated category with shift functor $[1] $ and
$\mathcal R $ be a rigid subcategory of $\mathcal C $. We are concerned with the mutation …