Free commutative medial $n$-ary groupoids
Diskretnaya Matematika, Tome 27 (2015) no. 1, pp. 34-43.

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The solvability of the equational theory of commutative medial $n$-ary groupoids is in the paper used to describe the structure of the free commutative medial $n$-ary groupoid and to demonstrate that a commutative medial $n$-ary groupoid has a convex linear representation.
Keywords: medial groupoids, convex linear representations.
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S. S. Davidov. Free commutative medial $n$-ary groupoids. Diskretnaya Matematika, Tome 27 (2015) no. 1, pp. 34-43. http://geodesic.mathdoc.fr/item/DM_2015_27_1_a2/

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