16 citations · 42 across the 11 of their papers we have counts for
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math.QA2024
On the cabling of non-involutive set-theoretic solutions of the Yang--Baxter equation
Ilaria Colazzo, Arne Van Antwerpen
We extend the cabling method by Lebed, Ramírez and Vendramin from involutive to bijective non-degenerate set-theoretic solutions of the Yang--Baxter equation by working in the Yang…
math.GR2024
Bijective solutions to the Pentagon Equation
I. Colazzo, J. Okniński, A. Van Antwerpen
A complete classification of all finite bijective set-theoretic solutions to the Pentagon Equation is obtained. First, it is shown that every such solution determines a sem…
math.RA2024★ 1 cited
Skew bracoids containing a skew brace
Ilaria Colazzo, Alan Koch, Isabel Martin-Lyons +1
Skew bracoids have been shown to have applications in Hopf-Galois theory. We show that a certain family of skew bracoids correspond bijectively with left cancellative semibraces. A…