SOLVABILITY OF COMMUTATIVE POWER-ASSOCIATIVE NILALGEBRAS OF NILINDEX 4 AND DIMENSION

SOLVABILITY OF COMMUTATIVE POWER-ASSOCIATIVE NILALGEBRAS OF NILINDEX 4 AND DIMENSION

Let A be a commutative power-associative nilalgebra: In this paper we prove that when A (of characteristic &#8800; 2) is of dimension < 8 and x4 = 0 for all x <IMG SRC="http:/fbpe/img/proy/v23n2/e.jpg" WIDTH=18 HEIGHT=16>A; then ((A²)²)² = 0: That is, A is solvable. We conclud...

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Autores principales: ELGUETA,LUISA, SUAZO,AVELINO
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2004
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172004000200005
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spelling oai:scielo:S0716-091720040002000052004-09-29SOLVABILITY OF COMMUTATIVE POWER-ASSOCIATIVE NILALGEBRAS OF NILINDEX 4 AND DIMENSIONELGUETA,LUISASUAZO,AVELINOLet A be a commutative power-associative nilalgebra: In this paper we prove that when A (of characteristic &#8800; 2) is of dimension < 8 and x4 = 0 for all x <IMG SRC="http:/fbpe/img/proy/v23n2/e.jpg" WIDTH=18 HEIGHT=16>A; then ((A²)²)² = 0: That is, A is solvable. We conclude that if A is of dimension < 7 over a field of characteristic &#8800; 2, 3 and 5; then A is solvableinfo:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.23 n.2 20042004-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172004000200005en10.4067/S0716-09172004000200005
institution Scielo Chile
collection Scielo Chile
language English
description Let A be a commutative power-associative nilalgebra: In this paper we prove that when A (of characteristic &#8800; 2) is of dimension < 8 and x4 = 0 for all x <IMG SRC="http:/fbpe/img/proy/v23n2/e.jpg" WIDTH=18 HEIGHT=16>A; then ((A²)²)² = 0: That is, A is solvable. We conclude that if A is of dimension < 7 over a field of characteristic &#8800; 2, 3 and 5; then A is solvable
author ELGUETA,LUISA
SUAZO,AVELINO
spellingShingle ELGUETA,LUISA
SUAZO,AVELINO
SOLVABILITY OF COMMUTATIVE POWER-ASSOCIATIVE NILALGEBRAS OF NILINDEX 4 AND DIMENSION
author_facet ELGUETA,LUISA
SUAZO,AVELINO
author_sort ELGUETA,LUISA
title SOLVABILITY OF COMMUTATIVE POWER-ASSOCIATIVE NILALGEBRAS OF NILINDEX 4 AND DIMENSION
title_short SOLVABILITY OF COMMUTATIVE POWER-ASSOCIATIVE NILALGEBRAS OF NILINDEX 4 AND DIMENSION
title_full SOLVABILITY OF COMMUTATIVE POWER-ASSOCIATIVE NILALGEBRAS OF NILINDEX 4 AND DIMENSION
title_fullStr SOLVABILITY OF COMMUTATIVE POWER-ASSOCIATIVE NILALGEBRAS OF NILINDEX 4 AND DIMENSION
title_full_unstemmed SOLVABILITY OF COMMUTATIVE POWER-ASSOCIATIVE NILALGEBRAS OF NILINDEX 4 AND DIMENSION
title_sort solvability of commutative power-associative nilalgebras of nilindex 4 and dimension
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2004
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172004000200005
work_keys_str_mv AT elguetaluisa solvabilityofcommutativepowerassociativenilalgebrasofnilindex4anddimension
AT suazoavelino solvabilityofcommutativepowerassociativenilalgebrasofnilindex4anddimension
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