34 citations · 37 across the 5 of their papers we have counts for
6 papers
Admissibility of Localizations of Crossed Modules
Olivia Monjon, Jérôme Scherer, Florence Sterck
The correspondence between the concept of conditional flatness and admissibility in the sense of Galois appears in the context of localization functors in any semi-abelian category…
Non-existence of fiberwise localization for crossed modules
Olivia Monjon, Jérôme Scherer, Florence Sterck
We prove that localization functors of crossed modules of groups do not always admit fiberwise (or relative) versions. To do so we characterize the existence of a fiberwise localiz…
Crossed squares of cocommutative Hopf algebras
Florence Sterck
In this paper, we define the notion of Hopf crossed square for cocommutative Hopf algebras extending the notions of crossed squares of groups and of Lie algebras. We prove the equi…
Split extensions and actions of bialgebras and Hopf algebras
Florence Sterck
We introduce a notion of split extension of (non-associative) bialgebras which generalizes the notion of split extension of magmas introduced by M. Gran, G. Janelidze and M. Sobral…
The Zassenhaus lemma in star-regular categories
Olivette Ngaha Ngaha, Florence Sterck
The Noether isomorphism theorems and the Zassenhaus Lemma from group theory have a non-pointed version in a suitable categorical context first considered by W. Tholen in his PhD th…
A semi-abelian extension of a theorem by Takeuchi
Marino Gran, Florence Sterck, Joost Vercruysse
We prove that the category of cocommutative Hopf algebras over a field is a semi-abelian category. This result extends a previous special case of it, based on the Milnor-Moore theo…