Xiaofa Chen

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math.RT2024

Exact dg categories II : The embedding theorem

Xiaofa Chen

For an exact dg category $A$ , we introduce its bounded dg derived category $D_{d g}^{b} (A)$ and establish the universal exact morphism from $A$ to…

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 $d$ -cluster tilting pair and $d$ -Auslander exact dg category to $d$ -precluster tilting triple and $d$ -minimal Auslander--Gorenstein exact dg category.…