English

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

Commutative Algebra 2014-03-11 v5

Abstract

We give an algorithm to compute the ω\omega-primality of finitely generated atomic monoids. Asymptotic \w\w-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.

Keywords

Cite

@article{arxiv.1307.5807,
  title  = {Computation of the w-primality and asymptotic w-primality with applications to numerical semigroups},
  author = {J. I. García-García and M. A. Moreno-Frías and A. Vigneron-Tenorio},
  journal= {arXiv preprint arXiv:1307.5807},
  year   = {2014}
}