Autor según el artículo: Bras-Amorós M
Departamento: Enginyeria Informàtica i Matemàtiques
Autor/es de la URV: Bras Amoros, Maria
Palabras clave: Msc: primary 00a65
Resumen: © 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.
Áreas temáticas: Mathematics (miscellaneous) Mathematics (all) Mathematics Matemática / probabilidade e estatística General mathematics Ciência da computação
Acceso a la licencia de uso: https://creativecommons.org/licenses/by/3.0/es/
ISSN: 00029890
Direcció de correo del autor: maria.bras@urv.cat
Identificador del autor: 0000-0002-3481-004X
Fecha de alta del registro: 2023-02-18
Versión del articulo depositado: info:eu-repo/semantics/acceptedVersion
Enlace a la fuente original: https://www.tandfonline.com/doi/abs/10.1080/00029890.2020.1674073?journalCode=uamm20
Referencia al articulo segun fuente origial: American Mathematical Monthly. 127 (1): 33-44
Referencia de l'ítem segons les normes 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
URL Documento de licencia: https://repositori.urv.cat/ca/proteccio-de-dades/
DOI del artículo: 10.1080/00029890.2020.1674073
Entidad: Universitat Rovira i Virgili
Año de publicación de la revista: 2020
Tipo de publicación: Journal Publications
Repositori URV