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arXiv · 1307.5807

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

J. I. García-García·M. A. Moreno-Frías·A. Vigneron-Tenorio
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Abstract

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

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J. I. García-García, M. A. Moreno-Frías, A. Vigneron-Tenorio. 2013-07-22. Computation of the w-primality and asymptotic w-primality with applications to numerical semigroups. https://arxiv.org/abs/1307.5807

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