On the relative solvability of certain inverse monoids

Detalhes bibliográficos
Autor(a) principal: Cordeiro, Edite
Data de Publicação: 2010
Outros Autores: Delgado, Manuel
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10198/6341
Resumo: The notion of kernel of a finite monoid relative to a pseudovariety of groups can be used to define relative solvability of monoids in a similar way to the manner in which the notion of derived subgroup can be used to define solvable group. In this paper we study the solvability of certain inverse monoids relative to pseudovarieties of abelian groups.
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spelling On the relative solvability of certain inverse monoidsInverse monoidPseudovariety(Relative) abelian kernel(Relative) solvabilityThe notion of kernel of a finite monoid relative to a pseudovariety of groups can be used to define relative solvability of monoids in a similar way to the manner in which the notion of derived subgroup can be used to define solvable group. In this paper we study the solvability of certain inverse monoids relative to pseudovarieties of abelian groups.This work was partly supported by Fundação para a Ciência e a Tecnologia (FCT) through the Centro de Matemática da Universidade do Porto (CMUP) and by the project PTDC/MAT/65481/2006, which is partly funded by them European Community Fund FEDER. The second author gratefully acknowledges also the ESF programme “Au-tomata: from Mathematics to Applications (AutoMathA)” within whose framework the work leading to this paper has been carried out.Springer Science+Business MediaBiblioteca Digital do IPBCordeiro, EditeDelgado, Manuel2011-11-22T14:00:45Z20102010-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10198/6341engCordeiro, Edite; Delgado, Manuel (2010). On the relative solvability of certain inverse monoids. Semigroup Forum. ISSN 0037-1912. 81:3, p.531-547.10.1007/s00233-010-9253-yinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-21T10:05:35Zoai:bibliotecadigital.ipb.pt:10198/6341Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:55:04.517603Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv On the relative solvability of certain inverse monoids
title On the relative solvability of certain inverse monoids
spellingShingle On the relative solvability of certain inverse monoids
Cordeiro, Edite
Inverse monoid
Pseudovariety
(Relative) abelian kernel
(Relative) solvability
title_short On the relative solvability of certain inverse monoids
title_full On the relative solvability of certain inverse monoids
title_fullStr On the relative solvability of certain inverse monoids
title_full_unstemmed On the relative solvability of certain inverse monoids
title_sort On the relative solvability of certain inverse monoids
author Cordeiro, Edite
author_facet Cordeiro, Edite
Delgado, Manuel
author_role author
author2 Delgado, Manuel
author2_role author
dc.contributor.none.fl_str_mv Biblioteca Digital do IPB
dc.contributor.author.fl_str_mv Cordeiro, Edite
Delgado, Manuel
dc.subject.por.fl_str_mv Inverse monoid
Pseudovariety
(Relative) abelian kernel
(Relative) solvability
topic Inverse monoid
Pseudovariety
(Relative) abelian kernel
(Relative) solvability
description The notion of kernel of a finite monoid relative to a pseudovariety of groups can be used to define relative solvability of monoids in a similar way to the manner in which the notion of derived subgroup can be used to define solvable group. In this paper we study the solvability of certain inverse monoids relative to pseudovarieties of abelian groups.
publishDate 2010
dc.date.none.fl_str_mv 2010
2010-01-01T00:00:00Z
2011-11-22T14:00:45Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10198/6341
url http://hdl.handle.net/10198/6341
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Cordeiro, Edite; Delgado, Manuel (2010). On the relative solvability of certain inverse monoids. Semigroup Forum. ISSN 0037-1912. 81:3, p.531-547.
10.1007/s00233-010-9253-y
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer Science+Business Media
publisher.none.fl_str_mv Springer Science+Business Media
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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