n-Homogeneous dynamical systems and n-ary algebras
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2020-02-01 03:50
SM ISO690:2012
BURDUJAN, Ilie. n-Homogeneous dynamical systems and n-ary algebras. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2008, nr. 1(56), pp. 139-152. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 1(56) / 2008 / ISSN 1024-7696 /ISSNe 2587-4322

n-Homogeneous dynamical systems and n-ary algebras

Pag. 139-152

Burdujan Ilie
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 8 decembrie 2013


Rezumat

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.

Cuvinte-cheie
n-homogeneous dynamical system, quadratic dynamical system, n-ary algebra.