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Idempotent completion of certain -exangulated categories
Jian He, Jing He, Panyue Zhou
It was shown recently that an -extension closed subcategory of a Krull-Schmidt -angulated category has a natural structure of an -exangulated category. In…
Auslander-Reiten-Serre duality for n-exangulated categories
Jian He, Jing He, Panyue Zhou
Let be an Ext-finite, Krull-Schmidt and -linear -exangulated category with a commutative artinian ring. In this note, we prove tha…
Triangulated quotient categories revisited
Panyue Zhou, Bin Zhu
Extriangulated categories were introduced by Nakaoka and Palu by extracting the similarities between exact categories and triangulated categories. A notion of mutation of subcatego…
Subfactor categories of triangulated categories
Jinde Xu, Panyue Zhou, Baiyu Ouyang
Let {\cal T} be a triangulated category, {\cal A} a full subcategory of {\cal T} and {\cal X} a functorially finite subcategory of {\cal A}. If {\cal A} has the properties that any…