Two new classes of n-exangulated 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 and ( + 2 ) -angulated Let C be an category X full subcategory . If satisfies ? P ? I , then we give necessary sufficient condition for ideal quotient / to category, where (resp. projective injective) objects in In addition, define -proper class ? prove that admits new structure. These two ways which are neither nor general.