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...exact category has a natural structure of (n + 2)-angulated category, which generalizes Happel’s Theorem [7, Theorem 2.6]. N -angulated quotient categories induced by mutation pairs were discussed in =-=[9]-=-. Other properties of n-angulated categories can see [5]. Beligiannis and Marmaridis defined the notion of right triangulated category and showed that if X is a covariantly finite subcategory of an ad...