ON CONMUTATIVE LEFT-NILALGEBRAS OF INDEX 4
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 Lat1 Lat2 · · · Lats &8801; 0 if t1 + t2 + · · · + t s <i...
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| Lenguaje: | English |
| Publicado: |
Universidad Católica del Norte, Departamento de Matemáticas
2008
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| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172008000100007 |
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| Sumario: | 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 Lat1 Lat2 · · · Lats &8801; 0 if t1 + t2 + · · · + t s <img border=0 width=19 height=11 src="../img/simbolo3.jpg">10, where a <img border=0 width=15 height=15 src="../img/pertenece.jpg">A. |
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