Inverse braces that satisfy two idempotent identities (I) and (II) yield set-theoretic solutions of the Yang-Baxter equation, and matched-product and semilattice constructions preserve those identities.
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Set-theoretic solutions of the Yang-Baxter equation from inverse braces
Inverse braces that satisfy two idempotent identities (I) and (II) yield set-theoretic solutions of the Yang-Baxter equation, and matched-product and semilattice constructions preserve those identities.