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Keywords:
\mbox {$n$-angulated} category; quotient category; mutation pair
\mbox {$n$-angulated} category; quotient category; mutation pair
Summary:
Geiss, Keller and Oppermann (2013) introduced the notion of \mbox {$n$-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 \mbox {$n$-angulated} categories. We define mutation pairs in \mbox {$n$-angulated} categories and prove that given such a mutation pair, the corresponding quotient category carries a natural \mbox {$n$-angulated} structure. This result generalizes a theorem of Iyama-Yoshino (2008) for triangulated categories.
References:
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