Solvability of commutative right-nilalgebras satisfying (b(aa))a=b((aa)a)*
Author
Correa, Iván
Hentzel, Roy
Labra, Alicia
Full text
http://www.revistaproyecciones.cl/article/view/9-1510.4067/10.4067/S0716-09172010000100002
Abstract
We study commutative right-nilalgebras of right-nilindex four satisfying the identity (b(aa))a = b((aa)a). Our main result is that these algebras are solvable and not necessarily nilpotent. Our results require characteristic ≠ 2, 3, 5.