Geodesic
On the Structure of Medial Divisible $n$-Ary Groupoids
Matematičeskie zametki, Tome 104 (2018) no. 1, pp. 33-44

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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.
Keywords: $n$-ary groupoid, $n$-ary quasigroup.
Mots-clés : divisible groupoid, medial groupoid 
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     author = {S. S. Davidov},
     title = {On the {Structure} of {Medial} {Divisible} $n${-Ary} {Groupoids}},
     journal = {Matemati\v{c}eskie zametki},
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     publisher = {mathdoc},
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     year = {2018},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2018_104_1_a3/}
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S. S. Davidov. On the Structure of Medial Divisible $n$-Ary Groupoids. Matematičeskie zametki, Tome 104 (2018) no. 1, pp. 33-44. http://geodesic.mathdoc.fr/item/MZM_2018_104_1_a3/