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On the Word Problem in the Free Quasigroups in the Varieties of Quasigroups Isotopic to Groups

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Abstract

We consider the quasigroup varieties that are isotopic closures of the appropriate group varieties. We give the conditions for the word problem to be positively solvable simultaneously in the free algebras of the varieties of quasigroups and the corresponding groups.

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Authors and Affiliations

  1. Academy of Cryptography of Russia, Moscow, Russia

    M. M. Glukhov

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  1. M. M. Glukhov
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Correspondence to M. M. Glukhov.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 20, No. 1, pp. 39–55, 2015.

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Glukhov, M.M. On the Word Problem in the Free Quasigroups in the Varieties of Quasigroups Isotopic to Groups. J Math Sci 223, 518–529 (2017). https://doi.org/10.1007/s10958-017-3365-9

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  • DOI: https://doi.org/10.1007/s10958-017-3365-9

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