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Right n-angulated categories arising from covariantly finite subcategories
Authors:Zengqiang Lin
Affiliation:1. School of Mathematical Sciences, Huaqiao University, Quanzhou, Chinalzq134@163.com
Abstract:We define right n-angulated categories, which are analogous to right triangulated categories. Let 𝒞 be an additive category and 𝒳 a covariantly finite subcategory of 𝒞. We show that under certain conditions, the quotient 𝒞∕[𝒳] is a right n-angulated category. This has immediate applications to n-angulated quotient categories.
Keywords:Covariantly finite subcategory  n-angulated category  quotient category  right n-angulated category
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