12 citations · 21 across the 15 of their papers we have counts for
3 papers · 1 filter
A comparison between weakly protomodular and protomodular objects in unital categories
Xabier García-Martínez, Andrea Montoli, Diana Rodelo +1
We compare the concepts of protomodular and weakly protomodular objects within the context of unital categories. Our analysis demonstrates that these two notions are generally dist…
Right-preordered groups from a categorical perspective
Maria Manuel Clementino, Andrea Montoli
We study the categorical properties of right-preordered groups, giving an explicit description of limits and colimits in this category, and studying some exactness properties. We s…
Homological Lemmas in a Non-pointed Context
Andrea Cappelletti, Andrea Montoli
We show that non-pointed versions of the classical homological lemmas hold in regular protomodular categories equipped with a suitable posetal monocoreflective subcategory. Example…