%0 Journal Article %A García García, Juan Ignacio %A Moreno Frías, María Ángeles %A Vigneron Tenorio, Alberto %T Computation of the ω-primality and asymptotic ω-primality with applications to numerical semigroups %D 2015 %@ 1565-8511 %U http://hdl.handle.net/10498/35538 %X 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. %K algorithm %K w-primality %K finitely generated atomic monoid %K asymptotic w-primality %~ Universidad de Cádiz