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Arithmetic Varieties of Numerical Semigroups

dc.contributor.authorB. Branco, Manuel
dc.contributor.authorOjeda, Ignacio
dc.contributor.authorRosales González, José Carlos 
dc.date.accessioned2024-07-23T09:58:03Z
dc.date.available2024-07-23T09:58:03Z
dc.date.issued2024-05-22
dc.identifier.citationBranco, M.B., Ojeda, I. & Rosales, J.C. Arithmetic Varieties of Numerical Semigroups. Results Math 79, 171 (2024). [https://doi.org/10.1007/s00025-024-02212-5]es_ES
dc.identifier.urihttps://hdl.handle.net/10481/93398
dc.description.abstractIn this paper we present the notion of arithmetic variety for numerical semigroups. We study various aspects related to these varieties such as the smallest arithmetic that contains a set of numerical semigroups and we exhibit the rooted tree associated with an arithmetic variety. This tree is not locally finite; however, if the Frobenius number is fixed, the tree has finitely many nodes and algorithms can be developed. All algorithms provided in this article include their (non-debugged) implementation in GAP.es_ES
dc.description.sponsorshipPID2022-138906NB-C21 funded by MICIU/ AEI/ 10.13039/501100011033es_ES
dc.description.sponsorshipERDF/EUes_ES
dc.description.sponsorshipProyecto de Excelencia de la Junta de Andalucía (ProyExcel 00868)es_ES
dc.description.sponsorshipProyecto de investigación del Plan Propio - UCA 2022-2023 (PR2022-011)es_ES
dc.description.sponsorshipResearch group FQM024 funded by Junta de Extremadura (Spain)/FEDER fundses_ES
dc.language.isoenges_ES
dc.publisherSpringer Naturees_ES
dc.rightsAtribución 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectNumerical semigroupes_ES
dc.subjectVarietieses_ES
dc.subjectRooted treees_ES
dc.titleArithmetic Varieties of Numerical Semigroupses_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.1007/s00025-024-02212-5
dc.type.hasVersionVoRes_ES


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