12 citations · 21 across the 15 of their papers we have counts for
4 papers · 1 filter
R-full Schreier internal categories and their directions
Stefano Ambra, Andrea Montoli, Diana Rodelo
We introduce the notion of R-full Schreier internal category, which is the monoid analogue of the notion of aspherical abelian groupoid. We associate with every R-full Schreier int…
A direction functor approach to the cohomology of small categories
Stefano Ambra, Arnaud Duvieusart, Andrea Montoli
We show how the direction functors can be used to develop a cohomology theory for Barr-exact and S-Maltsev categories, where S is a suitable class of split epimorphisms with a fixe…
The direction functor for Schreier extensions of monoids
Stefano Ambra, Andrea Montoli, Diana Rodelo
We observe that the process of associating an action to any Schreier extension of monoids with commutative and cancellative kernel is functorial. We show that this functor is a gen…
Algebraic exponentiation and action representability for V-groups
Maria Manuel Clementino, Andrea Montoli
We show that the category of V-groups, where V is a cartesian quantale, so in particular the category of preordered groups, is locally algebraically cartesian closed with respect t…