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Cancellativity characterization for monoids of finite non-degenerate braided sets
Cancellativity conjecture. The monoid $S(X,r)$ is cancellative if and only if $r$ is involutive.
Conjectureopenbraided-sets monoids set-theoretic-yang-baxter-equationarXiv posted 2 days ago

Cancellativity characterization for monoids of finite non-degenerate braided sets