Articles producció científica> Enginyeria Informàtica i Matemàtiques

Increasingly Enumerable Submonoids of : Music Theory as a Unifying Theme

  • Identification data

    Identifier: imarina:6050402
  • Authors:

    Bras-Amorós M
  • Others:

    Author, as appears in the article.: Bras-Amorós M
    Department: Enginyeria Informàtica i Matemàtiques
    URV's Author/s: Bras Amoros, Maria
    Keywords: Msc: primary 00a65
    Abstract: © 2019, © THE MATHEMATICAL ASSOCIATION OF AMERICA. We analyze the set of increasingly enumerable additive submonoids of R , for instance, the set of logarithms of the positive integers with respect to a given base. We call them ω-monoids. The ω-monoids for which consecutive elements become arbitrarily close are called tempered monoids. This is, in particular, the case for the set of logarithms. We show that any ω-monoid is either a scalar multiple of a numerical semigroup or a tempered monoid. We will also show how we can differentiate ω-monoids that are multiples of numerical semigroups from those that are tempered monoids by the size and commensurability of their minimal generating sets. All the definitions and results are illustrated with examples from music theory.
    Thematic Areas: Mathematics (miscellaneous) Mathematics (all) Mathematics Matemática / probabilidade e estatística General mathematics Ciência da computação
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    ISSN: 00029890
    Author's mail: maria.bras@urv.cat
    Author identifier: 0000-0002-3481-004X
    Record's date: 2023-02-18
    Papper version: info:eu-repo/semantics/acceptedVersion
    Link to the original source: https://www.tandfonline.com/doi/abs/10.1080/00029890.2020.1674073?journalCode=uamm20
    Licence document URL: http://repositori.urv.cat/ca/proteccio-de-dades/
    Papper original source: American Mathematical Monthly. 127 (1): 33-44
    APA: Bras-Amorós M (2020). Increasingly Enumerable Submonoids of : Music Theory as a Unifying Theme. American Mathematical Monthly, 127(1), 33-44. DOI: 10.1080/00029890.2020.1674073
    Article's DOI: 10.1080/00029890.2020.1674073
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2020
    Publication Type: Journal Publications
  • Keywords:

    Mathematics,Mathematics (Miscellaneous)
    Msc: primary 00a65
    Mathematics (miscellaneous)
    Mathematics (all)
    Mathematics
    Matemática / probabilidade e estatística
    General mathematics
    Ciência da computação
  • Documents:

  • Cerca a google

    Search to google scholar