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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.QA2019
The algebraic structure of left semi-trusses
Ilaria Colazzo, Arne Van Antwerpen
The distributive laws of ring theory are fundamental equalities in algebra. However, recently in the study of the Yang-Baxter equation, many algebraic structures with alternative "…