8 citations · 27 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
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…
Integral and quasi-abelian hearts of twin cotorsion pairs on extriangulated categories
Souheila Hassoun, Amit Shah
It was shown recently that the heart of a twin cotorsion pair ((S,T),(U,V)) on an extriangulated category is semi-abelian. We provide a sufficient condition for the heart to be int…
Examples and non-examples of integral categories and the admissible intersection property
Souheila Hassoun, Amit Shah, Sven-Ake Wegner
Integral categories form a sub-class of pre-abelian categories whose systematic study was initiated by Rump in 2001. In the first part of this article we determine whether several…