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 …

[HTML][HTML] Idempotent Completions of n-Exangulated Categories

C Klapproth, D Msapato, A Shah - Applied Categorical Structures, 2024 - Springer
Abstract Suppose (C, E, s) is an n-exangulated category. We show that the idempotent
completion and the weak idempotent completion of C are again n-exangulated categories …

Tilting pairs and Wakamatsu tilting subcategories over triangular matrix algebras

Y Zhang, Y Ma, T Zhao - Georgian Mathematical Journal, 2023 - degruyter.com
Let A and B be Artin algebras and let M be an (A, B)-bimodule with MA and MB finitely
generated. In this paper, we construct tilting pairs of subcategories and Wakamatsu tilting …