Geodesic
$n$-angulated quotient categories induced by mutation pairs
Czechoslovak Mathematical Journal, Tome 65 (2015) no. 4, pp. 953-968
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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.
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.
DOI : 10.1007/s10587-015-0220-3
Classification : 18E30
Keywords: \mbox {$n$-angulated} category; quotient category; mutation pair 
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Lin, Zengqiang. $n$-angulated quotient categories induced by mutation pairs. Czechoslovak Mathematical Journal, Tome 65 (2015) no. 4, pp. 953-968. doi: 10.1007/s10587-015-0220-3

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