Right n-angulated categories arising from covariantly finite subcategories
Z Lin - Communications in Algebra, 2017 - Taylor & Francis
Z Lin
Communications in Algebra, 2017•Taylor & FrancisWe 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.
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.
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.
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