3 papers
math.RT2024
Exact dg categories I : Foundations
Xiaofa Chen
We introduce the notion of exact dg category, which provides a differential graded enhancement of Nakaoka--Palu's notion of extriangulated category. We give a definition in complet…
math.RT2024
Iyama-Solberg correspondence for exact dg categories
Xiaofa Chen
We generalize the notions of -cluster tilting pair and -Auslander exact dg category to -precluster tilting triple and -minimal Auslander--Gorenstein exact dg category.…
math.RT2023
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…