The numerical semigroup of phrases' lengths in a simple alphabet Robles-Pérez, Aureliano M. Rosales González, José Carlos Phrases' lengths PL-semigroups Numerical semigroup Let A be an alphabet with two elements. Considering a particular class of words (the phrases) over such an alphabet, we connect with the theory of numerical semigroups. We study the properties of the family of numerical semigroups which arise from this starting point. 2014-05-30T11:46:00Z 2014-05-30T11:46:00Z 2013 info:eu-repo/semantics/article Robles-Pérez, A.M.; Rosales, J.C. The numerical semigroup of phrases' lengths in a simple alphabet. Scientific World Journal, 2013: 459024 (2013). [http://hdl.handle.net/10481/32051] 1537-744X http://hdl.handle.net/10481/32051 10.1155/2013/459024 eng http://creativecommons.org/licenses/by-nc-nd/3.0/ info:eu-repo/semantics/openAccess Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License Hindawi Publishing Corporation