Identities of the Kauffman Monoid $\mathcal{K}_3$

preprint2020arXivOpen access

We give a transparent combinatorial characterization of the identities satisfied by the Kauffman monoid $\mathcal{K}_3$ . Our characterization leads to a polynomial time algorithm to check whether a given identity holds in $\mathcal{K}_3$ .

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Identities of the Kauffman Monoid $\mathcal{K}_3$

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Identities of the Kauffman Monoid K3\mathcal{K}_3K3​

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Identities of the Kauffman Monoid $\mathcal{K}_3$