On some families of subsemigroups of a numerical semigroup

To a given numerical semigroup S we associate a family of subsemigroups {휕nS}, n ∈ ℕ, that permits us to understand some of the structure of S. We characterize this family in case S is a supersymmetric numerical semigroup or S has maximal embedding dimension. We also prove some properties related to...

Full description

Autores:
Arias Amaya, Fabián
Borja, Jerson
Tipo de recurso:
Fecha de publicación:
2020
Institución:
Universidad Tecnológica de Bolívar
Repositorio:
Repositorio Institucional UTB
Idioma:
eng
OAI Identifier:
oai:repositorio.utb.edu.co:20.500.12585/10326
Acceso en línea:
https://hdl.handle.net/20.500.12585/10326
Palabra clave:
Numerical semigroup
Supersymmetric
Maximal embedding dimension
Minimal generating set
LEMB
Rights
openAccess
License
http://creativecommons.org/licenses/by-nc-nd/4.0/
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dc.title.spa.fl_str_mv On some families of subsemigroups of a numerical semigroup
title On some families of subsemigroups of a numerical semigroup
spellingShingle On some families of subsemigroups of a numerical semigroup
Numerical semigroup
Supersymmetric
Maximal embedding dimension
Minimal generating set
LEMB
title_short On some families of subsemigroups of a numerical semigroup
title_full On some families of subsemigroups of a numerical semigroup
title_fullStr On some families of subsemigroups of a numerical semigroup
title_full_unstemmed On some families of subsemigroups of a numerical semigroup
title_sort On some families of subsemigroups of a numerical semigroup
dc.creator.fl_str_mv Arias Amaya, Fabián
Borja, Jerson
dc.contributor.author.none.fl_str_mv Arias Amaya, Fabián
Borja, Jerson
dc.subject.keywords.spa.fl_str_mv Numerical semigroup
Supersymmetric
Maximal embedding dimension
Minimal generating set
topic Numerical semigroup
Supersymmetric
Maximal embedding dimension
Minimal generating set
LEMB
dc.subject.armarc.none.fl_str_mv LEMB
description To a given numerical semigroup S we associate a family of subsemigroups {휕nS}, n ∈ ℕ, that permits us to understand some of the structure of S. We characterize this family in case S is a supersymmetric numerical semigroup or S has maximal embedding dimension. We also prove some properties related to embedding dimension and certain symmetry of the minimal generating set of the members of this family
publishDate 2020
dc.date.issued.none.fl_str_mv 2020-04-07
dc.date.accessioned.none.fl_str_mv 2021-07-29T18:07:13Z
dc.date.available.none.fl_str_mv 2021-07-29T18:07:13Z
dc.date.submitted.none.fl_str_mv 2021-07-28
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/article
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dc.identifier.citation.spa.fl_str_mv Arias, F., Borja, J. On some families of subsemigroups of a numerical semigroup. Semigroup Forum 102, 322–339 (2021). https://doi.org/10.1007/s00233-020-10148-9
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12585/10326
dc.identifier.doi.none.fl_str_mv 10.1007/s00233-020-10148-9
dc.identifier.instname.spa.fl_str_mv Universidad Tecnológica de Bolívar
dc.identifier.reponame.spa.fl_str_mv Repositorio Universidad Tecnológica de Bolívar
identifier_str_mv Arias, F., Borja, J. On some families of subsemigroups of a numerical semigroup. Semigroup Forum 102, 322–339 (2021). https://doi.org/10.1007/s00233-020-10148-9
10.1007/s00233-020-10148-9
Universidad Tecnológica de Bolívar
Repositorio Universidad Tecnológica de Bolívar
url https://hdl.handle.net/20.500.12585/10326
dc.language.iso.spa.fl_str_mv eng
language eng
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.uri.*.fl_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.cc.*.fl_str_mv Attribution-NonCommercial-NoDerivatives 4.0 Internacional
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0/
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.format.size.none.fl_str_mv 20 páginas
dc.coverage.spatial.none.fl_str_mv Colombia
dc.publisher.place.spa.fl_str_mv Cartagena de Indias
dc.source.spa.fl_str_mv Semigroup Forum 102, 322–339 (2021).
institution Universidad Tecnológica de Bolívar
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spelling Arias Amaya, Fabián6eb2386c-1203-4d16-aeb7-43ce88eda09dBorja, Jerson6e810ab4-1ee6-4582-917f-958468bdb2fc600Colombia2021-07-29T18:07:13Z2021-07-29T18:07:13Z2020-04-072021-07-28Arias, F., Borja, J. On some families of subsemigroups of a numerical semigroup. Semigroup Forum 102, 322–339 (2021). https://doi.org/10.1007/s00233-020-10148-9https://hdl.handle.net/20.500.12585/1032610.1007/s00233-020-10148-9Universidad Tecnológica de BolívarRepositorio Universidad Tecnológica de BolívarTo a given numerical semigroup S we associate a family of subsemigroups {휕nS}, n ∈ ℕ, that permits us to understand some of the structure of S. We characterize this family in case S is a supersymmetric numerical semigroup or S has maximal embedding dimension. We also prove some properties related to embedding dimension and certain symmetry of the minimal generating set of the members of this familyapplication/pdf20 páginasenghttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://purl.org/coar/access_right/c_abf2Semigroup Forum 102, 322–339 (2021).On some families of subsemigroups of a numerical semigroupinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/restrictedAccesshttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Numerical semigroupSupersymmetricMaximal embedding dimensionMinimal generating setLEMBCartagena de IndiasInvestigadoresAssi, A., García-Sánchez, P.A.: Numerical Semigroups and Applications. RSME Springer Series, vol. 3. Springer International Publishing, Cham (2016)Fröberg, R., Gottlieb, G., Häggkvist, R.: On numerical semigroups. Semigroup Forum 35, 63–83 (1987). https://doi.org/10.1007/BF02573091Rosales, J.C., García-Sánchez, P.A.: Numerical Semigroups. Developments in Mathematics, vol. 20. 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