p-Filiform Zinbiel algebras

The paper deals with the classification of a subclass of finite-dimensional Zinbiel algebras: the naturally graded p-filiform Zinbiel algebras. A Zinbiel algebra is the dual to Leibniz algebra in Koszul sense. We prove that there exists, up to isomorphism, only one family of naturally graded p-filif...

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Authors: Camacho Santana, Luisa María, Cañete Molero, Elisa María, Gómez Vidal, S., Omirov, Bakhrom Abdazovich
Format: article
Status:Versión enviada para evaluación y publicación
Publication Date:2013
Country:España
Institution:Universidad de Sevilla (US)
Repository:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/90212
Online Access:https://hdl.handle.net/11441/90212
https://doi.org/10.1016/j.laa.2012.11.030
Access Level:Open access
Keyword:Zinbiel algebra
Leibniz algebra
Nilpotency
p-filiform
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spelling p-Filiform Zinbiel algebrasCamacho Santana, Luisa MaríaCañete Molero, Elisa MaríaGómez Vidal, S.Omirov, Bakhrom AbdazovichZinbiel algebraLeibniz algebraNilpotencyp-filiformThe paper deals with the classification of a subclass of finite-dimensional Zinbiel algebras: the naturally graded p-filiform Zinbiel algebras. A Zinbiel algebra is the dual to Leibniz algebra in Koszul sense. We prove that there exists, up to isomorphism, only one family of naturally graded p-filiform Zinbiel algebras under hypothesis n − p 4.ElsevierMatemática Aplicada I2013info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/90212https://doi.org/10.1016/j.laa.2012.11.030reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésLinear Algebra and its Applications, 438 (7), 2958-2972.https://www.sciencedirect.com/science/article/pii/S0024379512008373info:eu-repo/semantics/openAccessoai:idus.us.es:11441/902122026-06-17T12:51:07Z
dc.title.none.fl_str_mv p-Filiform Zinbiel algebras
title p-Filiform Zinbiel algebras
spellingShingle p-Filiform Zinbiel algebras
Camacho Santana, Luisa María
Zinbiel algebra
Leibniz algebra
Nilpotency
p-filiform
title_short p-Filiform Zinbiel algebras
title_full p-Filiform Zinbiel algebras
title_fullStr p-Filiform Zinbiel algebras
title_full_unstemmed p-Filiform Zinbiel algebras
title_sort p-Filiform Zinbiel algebras
dc.creator.none.fl_str_mv Camacho Santana, Luisa María
Cañete Molero, Elisa María
Gómez Vidal, S.
Omirov, Bakhrom Abdazovich
author Camacho Santana, Luisa María
author_facet Camacho Santana, Luisa María
Cañete Molero, Elisa María
Gómez Vidal, S.
Omirov, Bakhrom Abdazovich
author_role author
author2 Cañete Molero, Elisa María
Gómez Vidal, S.
Omirov, Bakhrom Abdazovich
author2_role author
author
author
dc.contributor.none.fl_str_mv Matemática Aplicada I
dc.subject.none.fl_str_mv Zinbiel algebra
Leibniz algebra
Nilpotency
p-filiform
topic Zinbiel algebra
Leibniz algebra
Nilpotency
p-filiform
description The paper deals with the classification of a subclass of finite-dimensional Zinbiel algebras: the naturally graded p-filiform Zinbiel algebras. A Zinbiel algebra is the dual to Leibniz algebra in Koszul sense. We prove that there exists, up to isomorphism, only one family of naturally graded p-filiform Zinbiel algebras under hypothesis n − p 4.
publishDate 2013
dc.date.none.fl_str_mv 2013
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/90212
https://doi.org/10.1016/j.laa.2012.11.030
url https://hdl.handle.net/11441/90212
https://doi.org/10.1016/j.laa.2012.11.030
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Linear Algebra and its Applications, 438 (7), 2958-2972.
https://www.sciencedirect.com/science/article/pii/S0024379512008373
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.301603

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