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math.CT2020★ 6 cited
On the lattices of exact and weakly exact structures
Rose-Line Baillargeon, Thomas Brüstle, Mikhail Gorsky +1
We initiate in this article the study of weakly exact structures, a generalization of Quillen exact structures. We introduce weak counterparts of one-sided exact structures and sho…
math.CT2020
Intersections, sums, and the Jordan-Hölder property for exact categories
Thomas Brüstle, Souheila Hassoun, Aran Tattar
We investigate how the concepts of intersection and sums of subobjects carry to exact categories. We obtain a new characterisation of quasi-abelian categories in terms of admitting…