5 citations · 7 across the 6 of their papers we have counts for
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Auslander--Iyama correspondence for exact dg categories
Xiaofa Chen
We extend Auslander--Iyama correspondence to the setting of exact dg categories. By specializing it to exact dg categories concentrated in degree zero, we obtain a generalization o…
On exact dg categories
Xiaofa Chen
We introduce the notion of an exact dg category, which is a simultaneous generalization of the notions of exact category in the sense of Quillen and of pretriangulated dg category…
The lower extension groups and quotient categories
Xiaofa Chen, Xiao-Wu Chen
For a certain full additive subcategory X of an additive category A, one defines the lower extension groups in relative homological algebra. We show that these groups are isomorphi…
An informal introduction to dg categories
Xiaofa Chen, Xiao-Wu Chen
In this informal introduction to dg categories, the slogan is that dg categories are more rudimentary than triangulated categories. We recall some details on the dg quotient catego…