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Numerical semigroups with concentration two

dc.contributor.authorRosales González, José Carlos 
dc.date.accessioned2022-04-01T11:29:35Z
dc.date.available2022-04-01T11:29:35Z
dc.date.issued2021-03-30
dc.identifier.citationPublished version: José C. Rosales, M.B. Branco, Márcio A. Traesel, Numerical semigroups with concentration two, Indagationes Mathematicae, Volume 33, Issue 2, 2022, Pages 303-313, ISSN 0019-3577, [https://doi.org/10.1016/j.indag.2021.07.004]es_ES
dc.identifier.urihttp://hdl.handle.net/10481/74054
dc.descriptionThe first author was partially supported by MTM-2017-84890-P and by Junta de Andalucia group FQM-343. The second author is supported by the project FCT PTDC/MAT/73544/2006). 2010 Mathematics Subject Classification: 20M14, 11D07.es_ES
dc.description.abstractWe define the concentration of a numerical semigroup S as C(S) = max {next(S)(s) - s vertical bar s is an element of S\{0}} wherein next(S)(s) = min {x is an element of S vertical bar s < x}. In this paper, we study the class of numerical semigroups with concentration 2. We give algorithms to calculate the whole set of this class of semigroups with given multiplicity, genus or Frobenius number. Separately, we prove that this class of semigroups verifies the Wilf's conjecture.es_ES
dc.description.sponsorshipproject FCT (Fundacao para a Ciencia e a Tecnologia) PTDC/MAT/73544/2006es_ES
dc.description.sponsorshipJunta de Andalucia FQM-343 MTM-2017-84890-Pes_ES
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.rightsAtribución 3.0 España*
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subjectNumerical semigroupes_ES
dc.subjectConcentrationes_ES
dc.subjectFrobenius numberes_ES
dc.subjectGenuses_ES
dc.subjectMultiplicityes_ES
dc.subjectWilf's conjecturees_ES
dc.titleNumerical semigroups with concentration twoes_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.type.hasVersionSMURes_ES


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