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IMI/Publicaţii/BASM/Ediţii/BASM n.1 (56), 2008/

n-Homogeneous dynamical systems and n-ary algebras.

Authors: Ilie Burdujan

Abstract

A bijective correspondence between the classes of center-affinely equivalent n-homogeneous equations (n≥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.

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