On exact dg categories

X Chen - arXiv preprint arXiv:2306.08231, 2023 - arxiv.org
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 in …

Quotient categories with exact structure from -rigid subcategories in extriangulated categories

MY Huerta, O Mendoza, C Sáenz… - arXiv preprint arXiv …, 2023 - arxiv.org
In this work we introduce the notion of higher $\mathbb {E} $-extension groups for an
extriangulated category $\mathcal {C} $ and study the quotients $\mathcal {X} _ {n+ …