One-sided n-suspended categories

2021/08/29 by He, Jing, Hu, Yonggang, Zhou, Panyue
#Category Theory (math.CT) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2108.12728

Abstract

Let n be an integer greater or equal than 3. We give a simultaneous generalization of (n-2)-exact categories and n-angulated categories, and we call it one-sided n-suspended categories. One-sided n-angulated categories are also examples of one-sided n-suspended categories. We provide a general framework for passing from one-sided n-suspended categories to one-sided n-angulated categories. Besides, we give a method to construct n-angulated quotient categories from Frobenius n-prile categories. These results generalize their works by Jasso for n-exact categories, Lin for (n+2)-angulated categories and Li for one-sided suspended categories.

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