Articles producció científicaEnginyeria Informàtica i Matemàtiques

Rarity of the infinite chains in the tree of numerical semigroups

  • Identification data

    Identifier:  imarina:9633048
    Handle: https://hdl.handle.net/20.500.11797/imarina9633048
    Authors:  Bras-Amorós M; Rosas-Ribeiro M
    Abstract:
    We prove that, for each fixed genus, the proportion of semigroups of that genus belonging to infinite chains in the semigroup tree approaches 0 as the genus grows to infinity. This means that most numerical semigroups have a finite number of descendants in the semigroup tree. This problem has been open since 2009.

  • Others:

    Link to the original source: https://link.springer.com/article/10.1007/s00233-026-10661-3
    APA: Bras-Amorós M; Rosas-Ribeiro M (2026). Rarity of the infinite chains in the tree of numerical semigroups. SEMIGROUP FORUM, (), -. DOI: 10.1007/s00233-026-10661-3
    Paper original source: SEMIGROUP FORUM.
    Article's DOI: 10.1007/s00233-026-10661-3
    Journal publication year: 2026-01-01
    Entity: Universitat Rovira i Virgili
    Paper version: info:eu-repo/semantics/publishedVersion
    Record's date: 2026-10-31
    URV's Author/s: Bras Amoros, Maria / ROSAS RIBEIRO, MARIANA
    Department: Enginyeria Informàtica i Matemàtiques
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Publication Type: Journal Publications
    Author, as appears in the article.: Bras-Amorós M; Rosas-Ribeiro M
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    Thematic Areas: Mathematics, Matemática / probabilidade e estatística, Engenharias iv, Algebra and number theory
    Author's mail: maria.bras@urv.cat, mariana.rosasr@fundacio.urv.cat

  • Keywords:

    Algebra and Number Theory
    Mathematics
    Matemática / probabilidade e estatística
    Engenharias iv

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