2024/01/01 by He, Jian, He, Jing, Zhou, Panyue
#Category Theory (math.CT) #FOS: Mathematics #Representation Theory (math.RT)
paper · doi:10.48550/arxiv.2401.00777
Herschend-Liu-Nakaoka introduced the concept of n-exangulated categories as higher-dimensional analogues of extriangulated categories defined by Nakaoka-Palu. The class of n-exangulated categories contains n-exact categories and (n+2)-angulated categories as specific examples. In this article, we introduce the notion of hereditary n-exangulated categories, which generalize hereditary extriangulated categories. We provide two classes of hereditary n-exangulated categories through closed subfunctors. Additionally, we define the concept of 0-Auslander n-exangulated categories and discuss the circumstances under which these two classes of hereditary n-exangulated categories become 0-Auslander.