1 citations · 1 across the 3 of their papers we have counts for
4 papers · 1 filter
How to centralize and normalize quandle extensions
M. Duckerts-Antoine, V. Even, A. Montoli
We show that quandle coverings in the sense of Eisermann form a (regular epi)-reflective subcategory of the category of surjective quandle homomorphisms, both by using arguments co…
Epireflective subcategories and formal closure operators
Mathieu Duckerts-Antoine, Marino Gran, Zurab Janelidze
On a category with a designated (well-behaved) class of monomorphisms, a closure operator in the sense of D. Dikranjan and E. Giuli is a pointed endofun…
Fundamental group functors in descent-exact homological categories
Mathieu Duckerts-Antoine
We study the notion of fundamental group in the framework of descent-exact homological categories. This setting is sufficiently wide to include several categories of "algebraic" na…
A classification theorem for normal extensions
Mathieu Duckerts-Antoine, Tomas Everaert
For a particular class of Galois structures, we prove that the normal extensions are precisely those extensions that are "locally" split epic and trivial, and we use this to prove…