n-angulated quotient categories induced by mutation pairs |
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Authors: | Zengqiang Lin |
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Affiliation: | 1. School of Mathematical Sciences, Huaqiao University, Chenghua North Road No. 269, Fengze, Quanzhou, 362021, Fujian, P.R. China
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Abstract: | Geiss, Keller and Oppermann (2013) introduced the notion of n-angulated category, which is a “higher dimensional” analogue of triangulated category, and showed that certain (n-2)-cluster tilting subcategories of triangulated categories give rise to n-angulated categories. We define mutation pairs in n-angulated categories and prove that given such a mutation pair, the corresponding quotient category carries a natural n-angulated structure. This result generalizes a theorem of Iyama-Yoshino (2008) for triangulated categories. |
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