Iyama-Solberg correspondence for exact dg categories

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. We give a bijection between equivalence classes of $d$-precluster tilting triples and equivalence classes of $d$-minimal Auslander–Gorenstein exact dg categories. Our bijection generalizes Iyama–Solberg correspondence for module categories.