Resumen de On conmutative left-nilalgebras of index 4

Juan C. Gutierrez Fernandez

• 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.