Classification of numerical 3-semigroups by means of L-shapes
| Autor: | Carlos Marijuán, Francesc Aguiló |
|---|---|
| Přispěvatelé: | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV, Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions |
| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: |
Discrete mathematics
Algebra and Number Theory Relation (database) Free Digraph 20M Semigroups Characterization (mathematics) Curve plane semigroup L-shape NETWORKS Symmetric Numerical semigroup Singularity Matemàtiques i estadística::Àlgebra::Teoria de grups [Àrees temàtiques de la UPC] Semigrups Frobenius number Algebra over a field Semigroups Cayley digraph Mathematics |
| Zdroj: | Recercat. Dipósit de la Recerca de Catalunya Universitat Jaume I UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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