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 <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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Universidad Católica del Norte, Departamento de Matemáticas
2008
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oai:scielo:S0716-091720080001000072008-05-22ON CONMUTATIVE LEFT-NILALGEBRAS OF INDEX 4GUTIERREZ FERNANDEZ,JUAN C solvable commutative nilalgebra 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.27 n.1 20082008-05-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172008000100007en10.4067/S0716-09172008000100007 |
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GUTIERREZ FERNANDEZ,JUAN C |
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GUTIERREZ FERNANDEZ,JUAN C ON CONMUTATIVE LEFT-NILALGEBRAS OF INDEX 4 |
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GUTIERREZ FERNANDEZ,JUAN C |
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GUTIERREZ FERNANDEZ,JUAN C |
title |
ON CONMUTATIVE LEFT-NILALGEBRAS OF INDEX 4 |
title_short |
ON CONMUTATIVE LEFT-NILALGEBRAS OF INDEX 4 |
title_full |
ON CONMUTATIVE LEFT-NILALGEBRAS OF INDEX 4 |
title_fullStr |
ON CONMUTATIVE LEFT-NILALGEBRAS OF INDEX 4 |
title_full_unstemmed |
ON CONMUTATIVE LEFT-NILALGEBRAS OF INDEX 4 |
title_sort |
on conmutative left-nilalgebras of index 4 |
description |
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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Universidad Católica del Norte, Departamento de Matemáticas |
publishDate |
2008 |
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http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172008000100007 |
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AT gutierrezfernandezjuanc onconmutativeleftnilalgebrasofindex4 |
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1755990027429478400 |