SOLVABILITY OF COMMUTATIVE RIGHT-NILALGEBRAS SATISFYING (b(aa))a = b((aa)a)

SOLVABILITY OF COMMUTATIVE RIGHT-NILALGEBRAS SATISFYING (b(aa))a = b((aa)a)

We study commutative right-nilalgebras of right-nilindex four satisfying the identity (b(aa))a = b((aa)a). Our main result is that these algebras are solvable and not necessarily nilpotent. Our results require characteristic ? 2, 3, 5.

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Autores principales: Correa,Iván, Roy Hentzel,Irvin, Labra,Alicia
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2010
Materias:
Polynomial identity
Nilpotency
Solvability
Rightnilalgebra
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000100002
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spelling oai:scielo:S0716-091720100001000022010-05-19SOLVABILITY OF COMMUTATIVE RIGHT-NILALGEBRAS SATISFYING (b(aa))a = b((aa)a)Correa,IvánRoy Hentzel,IrvinLabra,Alicia Polynomial identity Nilpotency Solvability Rightnilalgebra We study commutative right-nilalgebras of right-nilindex four satisfying the identity (b(aa))a = b((aa)a). Our main result is that these algebras are solvable and not necessarily nilpotent. Our results require characteristic ? 2, 3, 5.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.29 n.1 20102010-05-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000100002en10.4067/S0716-09172010000100002
institution Scielo Chile
collection Scielo Chile
language English
topic Polynomial identity
Nilpotency
Solvability
Rightnilalgebra
spellingShingle Polynomial identity
Nilpotency
Solvability
Rightnilalgebra
Correa,Iván
Roy Hentzel,Irvin
Labra,Alicia
SOLVABILITY OF COMMUTATIVE RIGHT-NILALGEBRAS SATISFYING (b(aa))a = b((aa)a)
description We study commutative right-nilalgebras of right-nilindex four satisfying the identity (b(aa))a = b((aa)a). Our main result is that these algebras are solvable and not necessarily nilpotent. Our results require characteristic ? 2, 3, 5.
author Correa,Iván
Roy Hentzel,Irvin
Labra,Alicia
author_facet Correa,Iván
Roy Hentzel,Irvin
Labra,Alicia
author_sort Correa,Iván
title SOLVABILITY OF COMMUTATIVE RIGHT-NILALGEBRAS SATISFYING (b(aa))a = b((aa)a)
title_short SOLVABILITY OF COMMUTATIVE RIGHT-NILALGEBRAS SATISFYING (b(aa))a = b((aa)a)
title_full SOLVABILITY OF COMMUTATIVE RIGHT-NILALGEBRAS SATISFYING (b(aa))a = b((aa)a)
title_fullStr SOLVABILITY OF COMMUTATIVE RIGHT-NILALGEBRAS SATISFYING (b(aa))a = b((aa)a)
title_full_unstemmed SOLVABILITY OF COMMUTATIVE RIGHT-NILALGEBRAS SATISFYING (b(aa))a = b((aa)a)
title_sort solvability of commutative right-nilalgebras satisfying (b(aa))a = b((aa)a)
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2010
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000100002
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AT royhentzelirvin solvabilityofcommutativerightnilalgebrassatisfyingbaaabaaa
AT labraalicia solvabilityofcommutativerightnilalgebrassatisfyingbaaabaaa
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