Israel Journal of Mathematics

, Volume 206, Issue 1, pp 395–411 | Cite as

Computation of the ω-primality and asymptotic ω-primality with applications to numerical semigroups

  • J. I. García-García
  • M. A. Moreno-Frías
  • A. Vigneron-Tenorio


We give an algorithm to compute the ω-primality of finitely generated atomic monoids. Asymptotic ω-primality is also studied and a formula to obtain it in finitely generated quasi-Archimedean monoids is proven. The formulation is applied to numerical semigroups, obtaining an expression of this invariant in terms of its system of generators.


Numerical Semigroup Commutative Monoids Cancellative Semigroup Cancellative Monoid Archimedean Semigroup 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Hebrew University of Jerusalem 2015

Authors and Affiliations

  • J. I. García-García
    • 1
  • M. A. Moreno-Frías
    • 1
  • A. Vigneron-Tenorio
    • 2
  1. 1.Departamento de MatemáticasUniversidad de CádizPuerto Real, CádizSpain
  2. 2.Departamento de MatemáticasUniversidad de CádizJerez de la Frontera, CádizSpain

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