5 research outputs found

    Identities of the kauffman monoid K4 and of the Jones Monoid J4

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    Kauffman monoids Kn and Jones monoids Jn, n=2,3,
, are two families of monoids relevant in knot theory. We prove a somewhat counterintuitive result that the Kauffman monoids K3 and K4 satisfy exactly the same identities. This leads to a polynomial time algorithm to check whether a given identity holds in K4. As a byproduct, we also find a polynomial time algorithm for checking identities in the Jones monoid J4. © Springer Nature Switzerland AG 2020.M. V. Volkov—Supported by Ural Mathematical Center under agreement No. 075-02-2020-1537/1 with the Ministry of Science and Higher Education of the Russian Federation

    The Word Problem for Solvable Groups and Lie Algebras

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    Algorithmic problems in groups, semigroups and inverse semigroups

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