Geodesic
$n$-Homogeneous dynamical systems and $n$-ary algebras
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2008), pp. 139-152

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A bijective correspondence between the classes of center-affinely equivalent $n$-homogeneous equations ($n\ge 2$) and the classes of isomorphic commutative $n$-ary algebras is established. It generates a correspondence between the properties of these equations and the structural properties of the associated $n$-ary algebras. 
@article{BASM_2008_1_a8,
     author = {Ilie Burdujan},
     title = {$n${-Homogeneous} dynamical systems and $n$-ary algebras},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {139--152},
     publisher = {mathdoc},
     number = {1},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2008_1_a8/}
}
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Ilie Burdujan. $n$-Homogeneous dynamical systems and $n$-ary algebras. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2008), pp. 139-152. http://geodesic.mathdoc.fr/item/BASM_2008_1_a8/