Computing relative abelian kernels of finite monoids

Detalhes bibliográficos
Autor(a) principal: Cordeiro, Edite
Data de Publicação: 2006
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/10198/1513
Resumo: Let H be a pseudovariety of abelian groups corresponding to a recursive supernatural number. In this note we explain how a concrete implementation of an algorithm to compute the kernel of a finite monoid relative to H can be achieved. The case of the pseudovariety Ab of all finite abelian groups was already treated by the second author and plays an important role here, where we will be interested in the proper subpseudovarieties of Ab. Our work relies on an algorithm obtained by Steinberg.
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spelling Computing relative abelian kernels of finite monoidsRecursive supernatural numberSubpseudovarieties of abelian groupsRelative closures of subgroups of the free abelianLet H be a pseudovariety of abelian groups corresponding to a recursive supernatural number. In this note we explain how a concrete implementation of an algorithm to compute the kernel of a finite monoid relative to H can be achieved. The case of the pseudovariety Ab of all finite abelian groups was already treated by the second author and plays an important role here, where we will be interested in the proper subpseudovarieties of Ab. Our work relies on an algorithm obtained by Steinberg.ElsevierBiblioteca Digital do IPBCordeiro, EditeDelgado, Manuel2010-01-27T18:13:50Z20062006-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10198/1513engCordeiro, Edite; Delgado, M. (2006). Computing relative abelian kernels of finite monoids. Journal of Algebra. ISSN 0021-8693. 303:2 p.642--6540021-869310.1016/j.jalgebra.2005.05.027info: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:RCAAP2023-11-21T10:05:33Zoai:bibliotecadigital.ipb.pt:10198/1513Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:55:03.538456Repositório 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 Computing relative abelian kernels of finite monoids
title Computing relative abelian kernels of finite monoids
spellingShingle Computing relative abelian kernels of finite monoids
Cordeiro, Edite
Recursive supernatural number
Subpseudovarieties of abelian groups
Relative closures of subgroups of the free abelian
title_short Computing relative abelian kernels of finite monoids
title_full Computing relative abelian kernels of finite monoids
title_fullStr Computing relative abelian kernels of finite monoids
title_full_unstemmed Computing relative abelian kernels of finite monoids
title_sort Computing relative abelian kernels of finite 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 Recursive supernatural number
Subpseudovarieties of abelian groups
Relative closures of subgroups of the free abelian
topic Recursive supernatural number
Subpseudovarieties of abelian groups
Relative closures of subgroups of the free abelian
description Let H be a pseudovariety of abelian groups corresponding to a recursive supernatural number. In this note we explain how a concrete implementation of an algorithm to compute the kernel of a finite monoid relative to H can be achieved. The case of the pseudovariety Ab of all finite abelian groups was already treated by the second author and plays an important role here, where we will be interested in the proper subpseudovarieties of Ab. Our work relies on an algorithm obtained by Steinberg.
publishDate 2006
dc.date.none.fl_str_mv 2006
2006-01-01T00:00:00Z
2010-01-27T18:13:50Z
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/10198/1513
url http://hdl.handle.net/10198/1513
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Cordeiro, Edite; Delgado, M. (2006). Computing relative abelian kernels of finite monoids. Journal of Algebra. ISSN 0021-8693. 303:2 p.642--654
0021-8693
10.1016/j.jalgebra.2005.05.027
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 Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
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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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