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arXiv · 1409.2716

n-angulated quotient categories induced by mutation pairs

Zengqiang Lin
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Abstract

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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Zengqiang Lin. 2014-09-09. n-angulated quotient categories induced by mutation pairs. https://arxiv.org/abs/1409.2716

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