Geodesic
QUOTIENT CATEGORIES OF n-ABELIAN CATEGORIES
Glasgow mathematical journal, Tome 62 (2020) no. 3, pp. 673-705

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DOI

The notion of mutation pairs of subcategories in an n-abelian category is defined in this paper. Let ${\cal D} \subseteq {\cal Z}$ be subcategories of an n-abelian category ${\cal A}$. Then the quotient category ${\cal Z}/{\cal D}$ carries naturally an (n + 2) -angulated structure whenever $ ({\cal Z},{\cal Z}) $ forms a ${\cal D} \subseteq {\cal Z}$-mutation pair and ${\cal Z}$ is extension-closed. Moreover, we introduce strongly functorially finite subcategories of n-abelian categories and show that the corresponding quotient categories are one-sided (n + 2)-angulated categories. Finally, we study homological finiteness of subcategories in a mutation pair. 
ZHENG, QILIAN; WEI, JIAQUN. QUOTIENT CATEGORIES OF n-ABELIAN CATEGORIES. Glasgow mathematical journal, Tome 62 (2020) no. 3, pp. 673-705. doi: 10.1017/S0017089519000417
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     author = {ZHENG, QILIAN and WEI, JIAQUN},
     title = {QUOTIENT {CATEGORIES} {OF} {n-ABELIAN} {CATEGORIES}},
     journal = {Glasgow mathematical journal},
     pages = {673--705},
     year = {2020},
     volume = {62},
     number = {3},
     doi = {10.1017/S0017089519000417},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089519000417/}
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