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COMPUTATION OF NUMERICAL SEMIGROUPS BY MEANS OF SEEDS

  • Datos identificativos

    Identificador: imarina:5132044
    Autores:
    Bras-Amoros, MariaFernandez-Gonzalez, Julio
    Resumen:
    For the elements of a numerical semigroup which are larger than the Frobenius number, we introduce the definition of seed by broadening the notion of generator. This new concept allows us to explore the semigroup tree in an alternative efficient way, since the seeds of each descendant can be easily obtained from the seeds of its parent. The paper is devoted to presenting the results which are related to this approach, leading to a new algorithm for computing and counting the semigroups of a given genus.
  • Otros:

    Autor según el artículo: Bras-Amoros, Maria; Fernandez-Gonzalez, Julio
    Departamento: Enginyeria Informàtica i Matemàtiques
    Autor/es de la URV: Bras Amoros, Maria
    Resumen: For the elements of a numerical semigroup which are larger than the Frobenius number, we introduce the definition of seed by broadening the notion of generator. This new concept allows us to explore the semigroup tree in an alternative efficient way, since the seeds of each descendant can be easily obtained from the seeds of its parent. The paper is devoted to presenting the results which are related to this approach, leading to a new algorithm for computing and counting the semigroups of a given genus.
    Áreas temáticas: Mathematics, applied Matemática / probabilidade e estatística Interdisciplinar Computational mathematics Ciência da computação Applied mathematics Algebra and number theory
    Acceso a la licencia de uso: https://creativecommons.org/licenses/by/3.0/es/
    Direcció de correo del autor: maria.bras@urv.cat
    Identificador del autor: 0000-0002-3481-004X
    Fecha de alta del registro: 2024-07-27
    Versión del articulo depositado: info:eu-repo/semantics/acceptedVersion
    Enlace a la fuente original: https://www.ams.org/journals/mcom/2018-87-313/S0025-5718-2018-03292-6/home.html
    URL Documento de licencia: https://repositori.urv.cat/ca/proteccio-de-dades/
    Referencia al articulo segun fuente origial: Mathematics Of Computation. 87 (313): 2539-2550
    Referencia de l'ítem segons les normes APA: Bras-Amoros, Maria; Fernandez-Gonzalez, Julio (2018). COMPUTATION OF NUMERICAL SEMIGROUPS BY MEANS OF SEEDS. Mathematics Of Computation, 87(313), 2539-2550. DOI: 10.1090/mcom/3292
    DOI del artículo: 10.1090/mcom/3292
    Entidad: Universitat Rovira i Virgili
    Año de publicación de la revista: 2018
    Tipo de publicación: Journal Publications
  • Palabras clave:

    Algebra and Number Theory,Applied Mathematics,Computational Mathematics,Mathematics, Applied
    Mathematics, applied
    Matemática / probabilidade e estatística
    Interdisciplinar
    Computational mathematics
    Ciência da computação
    Applied mathematics
    Algebra and number theory
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