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JOURNALS // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Archive

Bul. Acad. Ştiinţe Repub. Mold. Mat., 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

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.

MSC: 34G20, 34L30, 15A69

Received: 16.12.2007

Language: English



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