73 citations · 151 across the 14 of their papers we have counts for
14 papers
Weak action representability of 2-nilpotent groups
Alessandro Dioguardi Burgio, Manuel Mancini, Tim Van der Linden
In this article, we investigate the representability of actions of the category of -nilpotent groups. We first provide an algebraic characterisati…
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…
Intrinsic Schreier special objects
Andrea Montoli, Diana Rodelo, Tim Van der Linden
Motivated by the categorical-algebraic analysis of split epimorphisms of monoids, we study the concept of a special object induced by the intrinsic Schreier split epimorphisms in t…
Universal central extensions of internal crossed modules via the non-abelian tensor product
Davide di Micco, Tim Van der Linden
In the context of internal crossed modules over a fixed base object in a given semi-abelian category, we use the non-abelian tensor product in order to prove that an object is perf…
Compatible actions in semi-abelian categories
Davide di Micco, Tim Van der Linden
The concept of a pair of compatible actions was introduced in the case of groups by Brown and Loday and in the case of Lie algebras by Ellis. In this article we extend it to the co…
On the "three subobjects lemma" and its higher-order generalisations
Cyrille Sandry Simeu, Tim Van der Linden
We solve a problem mentioned in an article of Berger and Bourn: we prove that in the context of an algebraically coherent semi-abelian category, two natural definitions of the lowe…