Densities of maximal embedding dimension numerical semigroups

Detalhes bibliográficos
Autor(a) principal: Iglésias, Laura
Data de Publicação: 2018
Outros Autores: Neto, Ana Margarida
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.21/9155
Resumo: We define the density of a numerical semigroup and study the densities of all the maximal embedding dimension numerical semigroups with a fixed Frobenius number, as well as the possible Frobenius number for a fixed density. We also prove that for a given possible density, in the sense of Wilf's conjecture, one can find a maximal embedding dimension numerical semigroup with that density.
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spelling Densities of maximal embedding dimension numerical semigroupsEmbedding dimensionFrobenius numberNumerical semigroupNúmero FrobeniusSemigrupo numéricoWe define the density of a numerical semigroup and study the densities of all the maximal embedding dimension numerical semigroups with a fixed Frobenius number, as well as the possible Frobenius number for a fixed density. We also prove that for a given possible density, in the sense of Wilf's conjecture, one can find a maximal embedding dimension numerical semigroup with that density.Taylor & FrancisRCIPLIglésias, LauraNeto, Ana Margarida2018-12-10T15:11:43Z20182018-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.21/9155engIGLÉSIAS, Laura; NETO, Ana Margarida – Densities of maximal embedding dimension numerical semigroups. Communications in Algebra. ISSN 0092-7872. Vol. 46, N.º 6 (2018), pp. 2730-27370092-787210.1080/00927872.2017.1399405metadata only accessinfo: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:RCAAP2023-08-03T09:57:31Zoai:repositorio.ipl.pt:10400.21/9155Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:17:47.304273Repositório 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 Densities of maximal embedding dimension numerical semigroups
title Densities of maximal embedding dimension numerical semigroups
spellingShingle Densities of maximal embedding dimension numerical semigroups
Iglésias, Laura
Embedding dimension
Frobenius number
Numerical semigroup
Número Frobenius
Semigrupo numérico
title_short Densities of maximal embedding dimension numerical semigroups
title_full Densities of maximal embedding dimension numerical semigroups
title_fullStr Densities of maximal embedding dimension numerical semigroups
title_full_unstemmed Densities of maximal embedding dimension numerical semigroups
title_sort Densities of maximal embedding dimension numerical semigroups
author Iglésias, Laura
author_facet Iglésias, Laura
Neto, Ana Margarida
author_role author
author2 Neto, Ana Margarida
author2_role author
dc.contributor.none.fl_str_mv RCIPL
dc.contributor.author.fl_str_mv Iglésias, Laura
Neto, Ana Margarida
dc.subject.por.fl_str_mv Embedding dimension
Frobenius number
Numerical semigroup
Número Frobenius
Semigrupo numérico
topic Embedding dimension
Frobenius number
Numerical semigroup
Número Frobenius
Semigrupo numérico
description We define the density of a numerical semigroup and study the densities of all the maximal embedding dimension numerical semigroups with a fixed Frobenius number, as well as the possible Frobenius number for a fixed density. We also prove that for a given possible density, in the sense of Wilf's conjecture, one can find a maximal embedding dimension numerical semigroup with that density.
publishDate 2018
dc.date.none.fl_str_mv 2018-12-10T15:11:43Z
2018
2018-01-01T00:00:00Z
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/10400.21/9155
url http://hdl.handle.net/10400.21/9155
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv IGLÉSIAS, Laura; NETO, Ana Margarida – Densities of maximal embedding dimension numerical semigroups. Communications in Algebra. ISSN 0092-7872. Vol. 46, N.º 6 (2018), pp. 2730-2737
0092-7872
10.1080/00927872.2017.1399405
dc.rights.driver.fl_str_mv metadata only access
info:eu-repo/semantics/openAccess
rights_invalid_str_mv metadata only access
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Taylor & Francis
publisher.none.fl_str_mv Taylor & Francis
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
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
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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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