From n-exangulated categories to n-abelian categories

Herschend-Liu-Nakaoka introduced the notion of n -exangulated categories. It is not only a higher dimensional analogue extriangulated categories defined by Nakaoka-Palu, but also gives simultaneous generalization -exact in sense Jasso and ( + 2 ) -angulated Geiss-Keller-Oppermann. Let C be an category with enough projectives injectives, X cluster tilting subcategory . In this article, we show that quotient / -abelian category, it equivalent to -cluster abelian projectives. These results generalize work Jacobsen-Jørgensen Zhou-Zhu for Moreover, highlights new phenomena when applied