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dc.contributor.authorAguiló Gost, Francisco de Asis L.
dc.contributor.authorMarijuan López, Carlos
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV
dc.date.accessioned2015-07-01T11:02:05Z
dc.date.available2015-07-02T02:31:45Z
dc.date.created2014-06-01
dc.date.issued2014-06-01
dc.identifier.citationAguilo, F.; Marijuan, C. Classification of numerical 3-semigroups by means of L-shapes. "Semigroup forum", 01 Juny 2014, vol. 88, núm. 3, p. 670-688.
dc.identifier.issn0037-1912
dc.identifier.urihttp://hdl.handle.net/2117/28487
dc.description.abstractWe recall L-shapes, which are minimal distance diagrams, related to weighted 2-Cayley digraphs, and we give the number and the relation between minimal distance diagrams related to the same digraph. On the other hand, we consider some classes of numerical semigroups useful in the study of curve singularity. Then, we associate L-shapes to each numerical 3-semigroup and we describe some main invariants of numerical 3-semigroups in terms of their associated L-shapes. Finally, we give a characterization of the parameters of the L-shapes associated with a numerical 3-semigroup in terms of its generators, and we use it to classify the numerical 3-semigroups of interest in curve singularity.
dc.format.extent19 p.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de grups
dc.subject.lcshSemigroups
dc.subject.otherNumerical semigroup
dc.subject.otherSymmetric
dc.subject.otherFree
dc.subject.otherCurve plane semigroup
dc.subject.otherCayley digraph
dc.subject.otherL-shape
dc.subject.otherFrobenius number
dc.subject.otherNETWORKS
dc.titleClassification of numerical 3-semigroups by means of L-shapes
dc.typeArticle
dc.subject.lemacSemigrups
dc.contributor.groupUniversitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions
dc.identifier.doi10.1007/s00233-013-9560-1
dc.description.peerreviewedPeer Reviewed
dc.subject.ams20M Semigroups
dc.relation.publisherversionhttp://link.springer.com/article/10.1007%2Fs00233-013-9560-1
dc.rights.accessOpen Access
local.identifier.drac14964766
dc.description.versionPostprint (author’s final draft)
local.citation.authorAguilo, F.; Marijuan, C.
local.citation.publicationNameSemigroup forum
local.citation.volume88
local.citation.number3
local.citation.startingPage670
local.citation.endingPage688


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Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain