Right n-angulated categories arising from covariantly finite subcategories

2014/09/10 by Lin, Zengqiang
#18E10 #18E30 #Category Theory (math.CT) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1409.2948

Abstract

We define the notion of right n-angulated category, which generalizes the notion of right triangulated category. Let C be an additive category or n-angulated category and X a covariantly finite subcategory, we show that under certain conditions the quotient C/X is a right n-angulated category. This result generalizes some previous work.

Related

• From right (n+2)-angulated categories to n-exangulated categories
• The axioms for right (n+2)-angulated categories
• Two results of n-exangulated categories
• n-exangulated categories
• One-sided n-suspended categories