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On the Structure of Medial Divisible n-Ary Groupoids

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Abstract

It is proved that a finitely generated medial divisible n-ary groupoid is a medial n-ary quasigroup, and each medial divisible n-ary groupoid is a homomorphic image of a medial n-ary quasigroup.

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Authors and Affiliations

  1. Yerevan State University, Yerevan, 0025, Armenia

    S. S. Davidov

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Correspondence to S. S. Davidov.

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Original Russian Text © S.S. Davidov, 2018, published in Matematicheskie Zametki, 2018, Vol. 104, No. 1, pp. 33–44.

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Davidov, S.S. On the Structure of Medial Divisible n-Ary Groupoids. Math Notes 104, 29–38 (2018). https://doi.org/10.1134/S0001434618070040

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  • DOI: https://doi.org/10.1134/S0001434618070040

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