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    Por favor, use este identificador para citar o enlazar este ítem:http://uvadoc.uva.es/handle/10324/40809

    Título
    Semigroups with fixed multiplicity and embedding dimension
    Autor
    García García, Juan Ignacio
    Marín Aragón, Daniel
    Moreno Frías, María Ángeles
    Rosales, José Carlos
    Vigneron Tenorio, Alberto
    Año del Documento
    2019
    Editorial
    DMFA Slovenije
    Descripción
    Producción Científica
    Documento Fuente
    Ars Mathematica Contemporanea, 2019, vol. 17, n. 2. p. 397-417
    Abstract
    Given m ∈ N, a numerical semigroup with multiplicity m is called a packed numerical semigroup if its minimal generating set is included in {m, m + 1, . . . , 2m − 1}. In this work, packed numerical semigroups are used to build the set of numerical semigroups with a given multiplicity and embedding dimension, and to create a partition of this set. Wilf’s conjecture is verified in the tree associated to some packed numerical semigroups. Furthermore, given two positive integers m and e, some algorithms for computing the minimal Frobenius number and minimal genus of the set of numerical semigroups with multiplicity m and embedding dimension e are provided. We also compute the semigroups where these minimal values are achieved
    Palabras Clave
    Frobenius number
    Número de Frobenius
    Multiplicity
    Multiplicidad
    Numerical semigroups
    Semigrupos numéricos
    ISSN
    1855-3974
    Revisión por pares
    SI
    DOI
    10.26493/1855-3974.1937.5ea
    Patrocinador
    Ministerio de Economía, Industria y Competitividad (project MTM2017-84890-P)
    Ministerio de Economía, Industria y Competitividad - Fondo Europeo de Desarrollo Regional (project MTM2015-65764-C3-1-P)
    Version del Editor
    https://amc-journal.eu/index.php/amc/article/view/1937
    Propietario de los Derechos
    © 2019 DMFA Slovenije
    Idioma
    eng
    URI
    http://uvadoc.uva.es/handle/10324/40809
    Tipo de versión
    info:eu-repo/semantics/publishedVersion
    Derechos
    openAccess
    Collections
    • IMUVA - Artículos de Revista [103]
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    Universidad de Valladolid

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