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arxiv: 1409.2716 · v1 · pith:46A26RVWnew · submitted 2014-09-09 · 🧮 math.CT · math.RT

n-angulated quotient categories induced by mutation pairs

classification 🧮 math.CT math.RT
keywords categoryn-angulatedmutationquotientpairapplicationcarriescategories
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We define mutation pair in an n-angulated category 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 in classical triangulated category. As an application, we obtain that the quotient category of a Frobenius n-angulated category is also an n-angulated category.

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