Abstract
We obtain a balanced identity that holds in a primitive n-ary quasigroup if and only if the polyadic quasigroup associated with the considered primitive n-ary quasigroup is a polyadic group isotope.
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References
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol.50, No. 6, pp. 862–864, June, 1998.
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Kirnasovskii, O.Y. Balanced identity that describes n-ary group isotopes in the class of all n-ary quasigroups. Ukr Math J 50, 979–981 (1998). https://doi.org/10.1007/BF02515231
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DOI: https://doi.org/10.1007/BF02515231