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math.GR2021★ 3 cited
A note on Garside monoids and Braces
Fabienne Chouraqui
A left brace is a triple , where is an abelian group, is a group, and there is a left-distributivity-like axiom that…
math.GR2021★ 6 cited
The Yang-Baxter equation and Thompson's group
Fabienne Chouraqui
In analogy with non-degenerate involutive set-theoretic solutions of the Yang-Baxter equation and braces, we define non-degenerate involutive partial set-theoretic solutions and pa…