On the relative solvability of certain inverse monoids
Autor(a) principal: | |
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Data de Publicação: | 2010 |
Outros Autores: | |
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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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) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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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1799135151701098496 |