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Asymptotic ω -Primality of Finitely Generated Cancelative Commutative Monoids

Author

Listed:
  • 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)

Abstract

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.

Suggested Citation

  • Juan Ignacio García-García & Daniel Marín-Aragón & Alberto Vigneron-Tenorio, 2023. "Asymptotic ω -Primality of Finitely Generated Cancelative Commutative Monoids," Mathematics, MDPI, vol. 11(4), pages 1-10, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:4:p:790-:d:1057603
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