Asymptotic <i>ω</i>-Primality of Finitely Generated Cancelative Commutative Monoids
Juan Ignacio García-García,
Daniel Marín-Aragón,
Alberto Vigneron-Tenorio
Affiliations
Juan Ignacio García-García
Departamento de Matemáticas/INDESS, Instituto Universitario para el Desarrollo Social Sostenible, Universidad de Cádiz, E-11510 Puerto Real, Spain
Daniel Marín-Aragón
Departamento de Matemáticas, Universidad de Cádiz, E-11510 Puerto Real, Spain
Alberto Vigneron-Tenorio
Departamento de Matemáticas/INDESS, Instituto Universitario para el Desarrollo Social Sostenible, Universidad de Cádiz, E-11405 Jerez de la Frontera, Spain
The computation of ω-primality has been object of study, mainly, for numerical semigroups due to its multiple applications to the Factorization Theory. However, its asymptotic version is less well known. In this work, we study the asymptotic ω-primality for finitely generated cancelative commutative monoids. By using discrete geometry tools and the Python programming language we present an algorithm to compute this parameter. Moreover, we improve the proof of a known result for numerical semigroups.
