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 …

Exact structures for persistence modules

B Blanchette, T Brüstle, EJ Hanson - arXiv preprint arXiv:2308.01790, 2023 - arxiv.org
We discuss applications of exact structures and relative homological algebra to the study of
invariants of multiparameter persistence modules. This paper is mostly expository, but does …

Exact structures and degeneration of Hall algebras

X Fang, M Gorsky - Advances in Mathematics, 2022 - Elsevier
We study degenerations of the Hall algebras of exact categories induced by degree
functions on the set of isomorphism classes of indecomposable objects. We prove that each …

Relative extriangulated categories arising from half exact functors

A Sakai - Journal of Algebra, 2023 - Elsevier
Relative theories (= closed subfunctors) are considered in exact, triangulated and
extriangulated categories by Dräxler-Reiten-Smalø-Solberg-Keller, Beligiannis and …

On the obscure axiom for one-sided exact categories

R Henrard, AC van Roosmalen - Journal of Pure and Applied Algebra, 2024 - Elsevier
One-sided exact categories are obtained via a weakening of a Quillen exact category. Such
one-sided exact categories are homologically similar to Quillen exact categories: a one …

[PDF][PDF] Le treillis des structures partiellement exactes

S Hassoun, É Lapointe - camus.espaceweb.usherbrooke.ca
Le treillis des structures partiellement exactes Page 1 CaMUS 7, 67 – 97 Le treillis des structures
partiellement exactes Souheila Hassoun et Élodie Lapointe Résumé Dans le but d’avancer …

[PDF][PDF] Une première approche aux champs vectoriels combinatoires

DD Côté - camus.espaceweb.usherbrooke.ca
Untitled Page 1 Page 2 CaMUS 7,1–20 Une première approche aux champs vectoriels
combinatoires Dominic Desjardins Côté Résumé Dans cet article, on définit une approche …

[引用][C] Pieter Belmans and Paul Wedrich

P Belmans, G Cotti, A Fonarev, NS González, M Gorsky…