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

• Correa, Iván ^[1] ; Hentzel, Roy ^[2] ; Labra, Alicia ^[3]
  1. [1] Universidad Metropolitana de Ciencias de la Educación

     Universidad Metropolitana de Ciencias de la Educación

     Santiago, Chile

     
  2. [2] Iowa State University

     Iowa State University

     Township of Franklin, Estados Unidos

     
  3. [3] Universidad de Chile

     Universidad de Chile

     Santiago, Chile

     

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• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 29, Nº. 1, 2010, págs. 9-15
• Idioma: inglés
• DOI: 10.4067/10.4067/S0716-09172010000100002
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• Resumen

  • 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.

• Referencias bibliográficas
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