8 citations · 8 across the 2 of their papers we have counts for
4 papers
The stable category of preordered groups
Aline Michel
In this article, we present the stable category of preordered groups associated with some Z-pretorsion theory. We first define such a category as well as the related functor, and t…
Central extensions of preordered groups
Marino Gran, Aline Michel
We prove that the category of preordered groups contains two full reflective subcategories that give rise to some interesting Galois theories. The first one is the category of the…
Torsion theories and coverings of V-groups
Aline Michel
For a commutative, unital and integral quantale V, we generalize to V-groups the results developed by Gran and Michel for preordered groups. We first of all show that, in the categ…
Torsion theories and coverings of preordered groups
Marino Gran, Aline Michel
In this article we explore a non-abelian torsion theory in the category of preordered groups: the objects of its torsion-free subcategory are the partially ordered groups, whereas…