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Four-Dimensional Real Third-Power Associative Division Algebras

We study third-power associative division algebras A over a field K of characteristic different from 2???? Those algebras having dimension ? 2 are commutative. When K is the field R of real numbers, those algebras having dimension 4 are power-commutative in each of the following two cases: (i) A contains a central element; (ii) A satisfies the additional identity (x, x^3,x) =0


Auteur(s) : O. Diankha, M. Traore?, M. I. Rami?rez & A. Rochdi
Pages : 397–3406,
Année de publication : 2016
Revue : Communications in Algebra
N° de volume : 44 nº 8
Type : Article
Mise en ligne par : DIANKHA Oumar