%0 Journal Article
%T On the Solvability of Commutative Power-Associative Nilalgebras of Nilindex 4
%A ELGUETA
%A LUISA
%A SUAZO
%A AVELINO
%J Revista Colombiana de Matem¨¢ticas
%D 2010
%I Universidad Nacional de Colombia and Sociedad Colombiana de Matem¨¢ticas
%X let a be a commutative power-associative nilalgebra. in this paper we prove that when a (of characteristic ¡Ù 2) is of dimension ¡Ü 10 and the identity x4=0 is valid in a, then ((y2)x2)x2=0 for all y, x in a and ((a2)2)2=0. that is, a is solvable.
%K commutative
%K power-associative
%K nilalgebra
%K solvable
%K nilpotent.
%U http://www.scielo.org.co/scielo.php?script=sci_abstract&pid=S0034-74262010000200005&lng=en&nrm=iso&tlng=en