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math.RT2017
Auslander-Reiten components with bounded short cycles
Shiping Liu, Jinde Xu
We study Auslander-Reiten components of an artin algebra with bounded short cycles, namely, there exists a bound for the depths of maps appearing on short cycles of non-zero non-in…
math.RT2014
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…