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 …

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 …

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 …

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

Let $ k $ be a field, and let ${\mathcal {C}} $ be a $ k $-linear, Hom-finite triangulated
category with split idempotents. In this paper, we show that under suitable circumstances …

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 …

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 …

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

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 …

Abstract Quillen's Resolution Theorem in algebraic K-theory provides a powerful
computational tool for calculating K-groups of exact categories. At the level of K 0, this result …