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For an exact dg category A, we introduce its bounded dg derived category Dᵇ₃₆ (A) and establish the universal exact morphism from A to Dᵇ₃₆ (A). We prove that the dg quotient of an exact dg category by a subcategory of projective-injectives carries a canonical exact structure. We show that exact dg categories reproduce under tensor products and functor dg categories. We apply our results to 0-Auslander extriangulated categories and confirm a conjecture by Fang-Gorsky-Palu-Plamondon-Pressland for the algebraic case.
Xiaofa Chen (Mon,) studied this question.
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