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Solvability of commutative power-associative nilalgebras of nilindex 4 and dimension

dc.creatorElgueta, Luisa
dc.creatorSuazo Delgado, Avelino
dc.date2017-05-22
dc.identifierhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1564
dc.identifier10.4067/S0716-09172004000200005
dc.descriptionLet A be a commutative power-associative nilalgebra. In this paper we prove that when A (of characteristic ?2) is of dimension ? 8 and x? = 0 for all x ? 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 ?2, 3 and 5, then A is solvable.es-ES
dc.formatapplication/pdf
dc.languagespa
dc.publisherUniversidad Católica del Norte.en-US
dc.relationhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1564/2057
dc.rightsCopyright (c) 2004 Proyecciones. Journal of Mathematicsen-US
dc.sourceProyecciones (Antofagasta, On line); Vol. 23 No. 2 (2004); 123-129en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 23 Núm. 2 (2004); 123-129es-ES
dc.source0717-6279
dc.subjectAssociative nilalgebraes-ES
dc.subjectcommutative nilalgebraes-ES
dc.subjectnil-álgebra asociativaes-ES
dc.subjectnil-álgebra conmutativa.es-ES
dc.titleSolvability of commutative power-associative nilalgebras of nilindex 4 and dimensiones-ES
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typePeer-reviewed Articleen-US


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