Extriangulated categories were introduced by Nakaoka and Palu as a simultaneous
generalization of exact categories and triangulated categories. A notion of proper class in an …

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

Abstract Herschend–Liu–Nakaoka introduced the notion of n-exangulated categories as
higher dimensional analogues of extriangulated categories defined by Nakaoka–Palu. The …

Extriangulated category was introduced by H. Nakaoka and Y. Palu to give a unification of
properties in exact categories and triangulated categories. A notion of tilting (resp., cotilting) …

Extriangulated categories were introduced by Nakaoka and Palu to give a unification of
properties in exact categories and triangulated categories. We consider in this article the …

We define right n-angulated categories, which are analogous to right triangulated
categories. Let 𝒞 be an additive category and 𝒳 a covariantly finite subcategory of 𝒞. We …

We define the Grothendieck group of an n-exangulated category. For n odd, we show that
this group shares many properties with the Grothendieck group of an exact or a triangulated …

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 …

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 …

A class of triangulated categories with a finiteness condition is singled out. These
triangulated categories have Auslander–Reiten triangles. It is proved that the relations of the …