Positioned numerical semigroups

Bibliographic Details
Main Author: Branco, M. B.
Publication Date: 2020
Other Authors: Faria, Manuel Caldas, Rosales, José Carlos
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10400.21/12111
Summary: A numerical semigroup S is positioned if for all s ∈ N\S we have that F(S) + m(S) − s ∈ S. In this paper, we give algorithms to compute the set of positioned semigroups and a criterium to check whether S is or not is positioned. Furthermore, we prove the Wilf’s conjecture for this type of numerical semigroups.
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spelling Positioned numerical semigroupsNumerical semigroupsPositioned numerical semigroupsTreeFrobenius numberMultiplicityGenusWilf’s conjectureA numerical semigroup S is positioned if for all s ∈ N\S we have that F(S) + m(S) − s ∈ S. In this paper, we give algorithms to compute the set of positioned semigroups and a criterium to check whether S is or not is positioned. Furthermore, we prove the Wilf’s conjecture for this type of numerical semigroups.Taylor & FrancisRCIPLBranco, M. B.Faria, Manuel CaldasRosales, José Carlos2020-07-29T10:31:18Z2020-07-132020-07-13T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.21/12111eng1727-933X1607-360610.2989/16073606.2020.1742245info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2025-02-12T10:34:16Zoai:repositorio.ipl.pt:10400.21/12111Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T20:07:25.898706Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Positioned numerical semigroups
title Positioned numerical semigroups
spellingShingle Positioned numerical semigroups
Branco, M. B.
Numerical semigroups
Positioned numerical semigroups
Tree
Frobenius number
Multiplicity
Genus
Wilf’s conjecture
title_short Positioned numerical semigroups
title_full Positioned numerical semigroups
title_fullStr Positioned numerical semigroups
title_full_unstemmed Positioned numerical semigroups
title_sort Positioned numerical semigroups
author Branco, M. B.
author_facet Branco, M. B.
Faria, Manuel Caldas
Rosales, José Carlos
author_role author
author2 Faria, Manuel Caldas
Rosales, José Carlos
author2_role author
author
dc.contributor.none.fl_str_mv RCIPL
dc.contributor.author.fl_str_mv Branco, M. B.
Faria, Manuel Caldas
Rosales, José Carlos
dc.subject.por.fl_str_mv Numerical semigroups
Positioned numerical semigroups
Tree
Frobenius number
Multiplicity
Genus
Wilf’s conjecture
topic Numerical semigroups
Positioned numerical semigroups
Tree
Frobenius number
Multiplicity
Genus
Wilf’s conjecture
description A numerical semigroup S is positioned if for all s ∈ N\S we have that F(S) + m(S) − s ∈ S. In this paper, we give algorithms to compute the set of positioned semigroups and a criterium to check whether S is or not is positioned. Furthermore, we prove the Wilf’s conjecture for this type of numerical semigroups.
publishDate 2020
dc.date.none.fl_str_mv 2020-07-29T10:31:18Z
2020-07-13
2020-07-13T00:00:00Z
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/10400.21/12111
url http://hdl.handle.net/10400.21/12111
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1727-933X
1607-3606
10.2989/16073606.2020.1742245
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 Taylor & Francis
publisher.none.fl_str_mv Taylor & Francis
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
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reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
_version_ 1833598499696934912

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