ON CONMUTATIVE LEFT-NILALGEBRAS OF INDEX 4

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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Main Author: GUTIERREZ FERNANDEZ,JUAN C
Format: Digital revista
Language:English
Published: Universidad Católica del Norte, Departamento de Matemáticas 2008
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172008000100007
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spelling 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
institution SCIELO
collection OJS
country Chile
countrycode CL
component Revista
access En linea
databasecode rev-scielo-cl
tag revista
region America del Sur
libraryname SciELO
language English
format Digital
author GUTIERREZ FERNANDEZ,JUAN C
spellingShingle GUTIERREZ FERNANDEZ,JUAN C
ON CONMUTATIVE LEFT-NILALGEBRAS OF INDEX 4
author_facet GUTIERREZ FERNANDEZ,JUAN C
author_sort 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.
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2008
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172008000100007
work_keys_str_mv AT gutierrezfernandezjuanc onconmutativeleftnilalgebrasofindex4
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