Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2008, Number 1, Pages 139–152 (Mi basm8)  
$n$-Homogeneous dynamical systems and $n$-ary algebras

Ilie Burdujan

Department of Mathematics, U.A.S.V.M of Iasi, Romania
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Abstract: 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.
Keywords and phrases: $n$-homogeneous dynamical system, quadratic dynamical system, $n$-ary algebra.
Received: 16.12.2007
Bibliographic databases:
MSC: 34G20, 34L30, 15A69
Language: English
Citation: Ilie Burdujan, “$n$-Homogeneous dynamical systems and $n$-ary algebras”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2008, no. 1, 139–152
Citation in format AMSBIB
\Bibitem{Bur08}
\by Ilie~Burdujan
\paper $n$-Homogeneous dynamical systems and $n$-ary algebras
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2008
\issue 1
\pages 139--152
\mathnet{http://mi.mathnet.ru/basm8}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2392683}
\zmath{https://zbmath.org/?q=an:1159.34337}
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