@misc{10481/49894, year = {2016}, month = {8}, url = {http://hdl.handle.net/10481/49894}, abstract = {In this paper, we find the ω-value of the generators of any numerical semigroup with embedding dimension three. This allows us to determine all possible orderings of the ω-values of the generators. In addition, we relate the ω-value of the numerical semigroup to its catenary degree.}, organization = {The first and third authors received National Science Foundation support under DMS-1262897. The second author is supported by the projects MTM2010-15595, FQM-343, FQM-5849, NSF-1061366 and FEDER funds.}, publisher = {World Scientific Publishing Company}, keywords = {Prime element}, keywords = {Numerical semigroup}, keywords = {ω-function}, keywords = {Omega function}, title = {Measuring primality in numerical semigroups with embedding dimension three}, doi = {10.1142/S0219498816500079}, author = {Chapman, Scott T. and García Sánchez, Pedro Abelardo and Tripp, Z. and Viola, Caterina}, }