16 citations · 30 across the 4 of their papers we have counts for
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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…
A characterization of central extensions in the variety of quandles
Valérian Even, Marino Gran, Andrea Montoli
The category of symmetric quandles is a Mal'tsev variety whose subvariety of abelian symmetric quandles is the category of abelian algebras. We give an algebraic description of the…
Closure operators in the category of quandles
Valérian Even, Marino Gran
We study a regular closure operator in the category of quandles. We show that the regular closure operator and the pullback closure operator corresponding to the reflector from the…
On factorisation systems for surjective quandle homomorphisms
Valérian Even, Marino Gran
We study and compare two factorisation systems for surjective homomorphisms in the category of quandles. The first one is induced by the adjunction between quandles and trivial qua…