RT journal article T1 Computation of the ω-primality and asymptotic ω-primality with applications to numerical semigroups A1 García García, Juan Ignacio A1 Moreno Frías, María Ángeles A1 Vigneron Tenorio, Alberto A2 Matemáticas K1 algorithm K1 w-primality K1 finitely generated atomic monoid K1 asymptotic w-primality AB We give an algorithm to compute the ω-primality of finitely generatedatomic monoids. Asymptotic ω-primality is also studied and a formula toobtain it in finitely generated quasi-Archimedean monoids is proven. Theformulation is applied to numerical semigroups, obtaining an expressionof this invariant in terms of its system of generators. PB springer SN 1565-8511 YR 2015 FD 2015 LK http://hdl.handle.net/10498/35538 UL http://hdl.handle.net/10498/35538 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 10-may-2026