Autor segons l'article: Bras-Amorós M
Departament: Enginyeria Informàtica i Matemàtiques
Autor/s de la URV: Bras Amoros, Maria
Paraules clau: Msc: primary 00a65
Resum: © 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.
Àrees temàtiques: Mathematics (miscellaneous) Mathematics (all) Mathematics Matemática / probabilidade e estatística General mathematics Ciência da computação
Accès a la llicència d'ús: https://creativecommons.org/licenses/by/3.0/es/
ISSN: 00029890
Adreça de correu electrònic de l'autor: maria.bras@urv.cat
Identificador de l'autor: 0000-0002-3481-004X
Data d'alta del registre: 2023-02-18
Versió de l'article dipositat: info:eu-repo/semantics/acceptedVersion
Referència a l'article segons font original: American Mathematical Monthly. 127 (1): 33-44
Referència 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 Document de llicència: https://repositori.urv.cat/ca/proteccio-de-dades/
Entitat: Universitat Rovira i Virgili
Any de publicació de la revista: 2020
Tipus de publicació: Journal Publications
Repositori URV