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The Frobenius problem for numerical semigroups

Bibliographic Details
Main Author: Rosales, J.C.
Publication Date: 2011
Other Authors: Branco, M.B.
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10174/4528
Summary: In this paper, we characterize those numerical semigroups containing n1,n2 . From this characterization, we give formulas for the genus and the Frobenius number of a numerical semigroup. These results can be used to give a method for computing the genus and the Frobenius number of a numerical semigroup with embedding dimension three in terms of its minimal system of generators.
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spelling The Frobenius problem for numerical semigroupsNumerical semigroupsIn this paper, we characterize those numerical semigroups containing n1,n2 . From this characterization, we give formulas for the genus and the Frobenius number of a numerical semigroup. These results can be used to give a method for computing the genus and the Frobenius number of a numerical semigroup with embedding dimension three in terms of its minimal system of generators.Elsevier2012-01-30T12:50:19Z2012-01-302011-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/4528http://hdl.handle.net/10174/4528engMatrosales@ugr.esmbb@uevora.pt333Rosales, J.C.Branco, M.B.info: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:RCAAP2024-01-03T18:42:20Zoai:dspace.uevora.pt:10174/4528Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T11:53:37.865618Repositórios 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 The Frobenius problem for numerical semigroups
title The Frobenius problem for numerical semigroups
spellingShingle The Frobenius problem for numerical semigroups
Rosales, J.C.
Numerical semigroups
title_short The Frobenius problem for numerical semigroups
title_full The Frobenius problem for numerical semigroups
title_fullStr The Frobenius problem for numerical semigroups
title_full_unstemmed The Frobenius problem for numerical semigroups
title_sort The Frobenius problem for numerical semigroups
author Rosales, J.C.
author_facet Rosales, J.C.
Branco, M.B.
author_role author
author2 Branco, M.B.
author2_role author
dc.contributor.author.fl_str_mv Rosales, J.C.
Branco, M.B.
dc.subject.por.fl_str_mv Numerical semigroups
topic Numerical semigroups
description In this paper, we characterize those numerical semigroups containing n1,n2 . From this characterization, we give formulas for the genus and the Frobenius number of a numerical semigroup. These results can be used to give a method for computing the genus and the Frobenius number of a numerical semigroup with embedding dimension three in terms of its minimal system of generators.
publishDate 2011
dc.date.none.fl_str_mv 2011-01-01T00:00:00Z
2012-01-30T12:50:19Z
2012-01-30
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/10174/4528
http://hdl.handle.net/10174/4528
url http://hdl.handle.net/10174/4528
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Mat
rosales@ugr.es
mbb@uevora.pt
333
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
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
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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
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