Computing relative abelian kernels of finite monoids
Autor(a) principal: | |
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Data de Publicação: | 2006 |
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/10198/1513 |
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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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) 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 |
instacron_str |
RCAAP |
institution |
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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1799135151693758464 |