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Quasi-Ordinarization Transform of a Numerical Semigroup

  • Dades identificatives

    Identificador: imarina:9220596
    Autors:
    Bras-Amoros, MariaPerez-Roses, HebertMiguel Serradilla-Merinero, Jose
    Resum:
    In this study, we present the notion of the quasi-ordinarization transform of a numerical semigroup. The set of all semigroups of a fixed genus can be organized in a forest whose roots are all the quasi-ordinary semigroups of the same genus. This way, we approach the conjecture on the increasingness of the cardinalities of the sets of numerical semigroups of each given genus. We analyze the number of nodes at each depth in the forest and propose new conjectures. Some properties of the quasi-ordinarization transform are presented, as well as some relations between the ordinarization and quasi-ordinarization transforms.
  • Altres:

    Autor segons l'article: Bras-Amoros, Maria; Perez-Roses, Hebert; Miguel Serradilla-Merinero, Jose;
    Departament: Enginyeria Informàtica i Matemàtiques
    e-ISSN: 2073-8994
    Autor/s de la URV: Bras Amoros, Maria / Pérez Rosés, Hebert / Serradilla Merinero, José Miguel
    Paraules clau: Quasi-ordinarization transform Ordinarization transform Numerical semigroup Number Genus Forest
    Resum: In this study, we present the notion of the quasi-ordinarization transform of a numerical semigroup. The set of all semigroups of a fixed genus can be organized in a forest whose roots are all the quasi-ordinary semigroups of the same genus. This way, we approach the conjecture on the increasingness of the cardinalities of the sets of numerical semigroups of each given genus. We analyze the number of nodes at each depth in the forest and propose new conjectures. Some properties of the quasi-ordinarization transform are presented, as well as some relations between the ordinarization and quasi-ordinarization transforms.
    Àrees temàtiques: Visual arts and performing arts Physics and astronomy (miscellaneous) Multidisciplinary sciences Modeling and simulation Mathematics, interdisciplinary applications Mathematics (miscellaneous) Mathematics (all) Matemática / probabilidade e estatística General mathematics Engineering (miscellaneous) Computer science (miscellaneous) Ciência da computação Chemistry (miscellaneous) Arts and humanities (miscellaneous) Architecture Applied mathematics
    Accès a la llicència d'ús: https://creativecommons.org/licenses/by/3.0/es/
    Adreça de correu electrònic de l'autor: hebert.perez@urv.cat maria.bras@urv.cat
    Identificador de l'autor: 0000-0002-3481-004X
    Data d'alta del registre: 2024-07-27
    Volum de revista: 13
    Versió de l'article dipositat: info:eu-repo/semantics/publishedVersion
    Enllaç font original: https://www.mdpi.com/2073-8994/13/6/1084
    URL Document de llicència: https://repositori.urv.cat/ca/proteccio-de-dades/
    Referència a l'article segons font original: Symmetry-Basel. 13 (6):
    Referència de l'ítem segons les normes APA: Bras-Amoros, Maria; Perez-Roses, Hebert; Miguel Serradilla-Merinero, Jose; (2021). Quasi-Ordinarization Transform of a Numerical Semigroup. Symmetry-Basel, 13(6), -. DOI: 10.3390/sym13061084
    DOI de l'article: 10.3390/sym13061084
    Entitat: Universitat Rovira i Virgili
    Any de publicació de la revista: 2021
    Tipus de publicació: Journal Publications
  • Paraules clau:

    Applied Mathematics,Architecture,Arts and Humanities (Miscellaneous),Chemistry (Miscellaneous),Computer Science (Miscellaneous),Engineering (Miscellaneous),Mathematics (Miscellaneous),Mathematics, Interdisciplinary Applications,Modeling and Simulation,Multidisciplinary Sciences,Physics and Astronomy (Miscellaneous),Visual Arts and Performi
    Quasi-ordinarization transform
    Ordinarization transform
    Numerical semigroup
    Number
    Genus
    Forest
    Visual arts and performing arts
    Physics and astronomy (miscellaneous)
    Multidisciplinary sciences
    Modeling and simulation
    Mathematics, interdisciplinary applications
    Mathematics (miscellaneous)
    Mathematics (all)
    Matemática / probabilidade e estatística
    General mathematics
    Engineering (miscellaneous)
    Computer science (miscellaneous)
    Ciência da computação
    Chemistry (miscellaneous)
    Arts and humanities (miscellaneous)
    Architecture
    Applied mathematics
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