@misc{10498/35538, year = {2015}, url = {http://hdl.handle.net/10498/35538}, abstract = {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.}, publisher = {springer}, keywords = {algorithm}, keywords = {w-primality}, keywords = {finitely generated atomic monoid}, keywords = {asymptotic w-primality}, title = {Computation of the ω-primality and asymptotic ω-primality with applications to numerical semigroups}, doi = {10.1007/S11856-014-1144-6}, author = {García García, Juan Ignacio and Moreno Frías, María Ángeles and Vigneron Tenorio, Alberto}, }