Measuring primality in numerical semigroups with embedding dimension three Chapman, Scott T. García Sánchez, Pedro Abelardo Tripp, Z. Viola, Caterina Prime element Numerical semigroup ω-function Omega function Electronic version of an article published as Journal of Algebra and Its Applications, 15, 1, 2016, 1650007. DOI:10.1142/S0219498816500079 © World Scientific Publishing Company https://www.worldscientific.com/doi/abs/10.1142/S0219498816500079 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. 2018-03-09T07:35:42Z 2018-03-09T07:35:42Z 2016-08-31 info:eu-repo/semantics/article Chapman, S.T.; et al. Measuring primality in numerical semigroups with embedding dimension three. Journal of Algebra and Its Applications, 15(1): 16500079 (2016). [http://hdl.handle.net/10481/49894] 0219-4988 1793-6829 http://hdl.handle.net/10481/49894 10.1142/S0219498816500079 eng http://creativecommons.org/licenses/by-nc-nd/3.0/ info:eu-repo/semantics/openAccess Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License World Scientific Publishing Company