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Classification of numerical 3-semigroups by means of L-shapes
dc.contributor.author | Aguiló Gost, Francisco de Asis L. |
dc.contributor.author | Marijuan López, Carlos |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV |
dc.date.accessioned | 2015-07-01T11:02:05Z |
dc.date.available | 2015-07-02T02:31:45Z |
dc.date.created | 2014-06-01 |
dc.date.issued | 2014-06-01 |
dc.identifier.citation | Aguilo, 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.issn | 0037-1912 |
dc.identifier.uri | http://hdl.handle.net/2117/28487 |
dc.description.abstract | We 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.extent | 19 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de grups |
dc.subject.lcsh | Semigroups |
dc.subject.other | Numerical semigroup |
dc.subject.other | Symmetric |
dc.subject.other | Free |
dc.subject.other | Curve plane semigroup |
dc.subject.other | Cayley digraph |
dc.subject.other | L-shape |
dc.subject.other | Frobenius number |
dc.subject.other | NETWORKS |
dc.title | Classification of numerical 3-semigroups by means of L-shapes |
dc.type | Article |
dc.subject.lemac | Semigrups |
dc.contributor.group | Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions |
dc.identifier.doi | 10.1007/s00233-013-9560-1 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | 20M Semigroups |
dc.relation.publisherversion | http://link.springer.com/article/10.1007%2Fs00233-013-9560-1 |
dc.rights.access | Open Access |
local.identifier.drac | 14964766 |
dc.description.version | Postprint (author’s final draft) |
local.citation.author | Aguilo, F.; Marijuan, C. |
local.citation.publicationName | Semigroup forum |
local.citation.volume | 88 |
local.citation.number | 3 |
local.citation.startingPage | 670 |
local.citation.endingPage | 688 |
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