On conmutative left-nilalgebras of index 4

• Gutierrez Fernandez, Juan C. ^[1]
  1. [1] Universidade de São Paulo

     Universidade de São Paulo

     Brasil

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 27, Nº. 1, 2008, págs. 103-111
• Idioma: inglés
• DOI: 10.4067/S0716-09172008000100007
• Enlaces
  • Texto completo
• Resumen

  • We first present a solution to a conjecture of (Correa, Hentzel, Labra, 2002) in the positive. We show that if A is a commutative nonassociative algebra over a field of characteristic 6= 2, 3, satisfying the identity x(x(xx)) = 0, then Lₐₜ₁Lₐₜ₂ · · · Lats ≡ 0  if t₁ + t₂ + · · · + tₛ ≥ 10, where a ∈ A.

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