Resumen de Solvability of commutative right-nilalgebras satisfying (b(aa))a=b((aa)a)*

Iván Correa Sierra, Roy Hentzel, Alicia Labra

• 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.