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.
@article{DM_2015_27_1_a2,
     author = {S. S. Davidov},
     title = {Free commutative medial $n$-ary groupoids},
     journal = {Diskretnaya Matematika},
     pages = {34--43},
     publisher = {mathdoc},
     volume = {27},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2015_27_1_a2/}
}
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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/