Parity numerical semigroups Moreno Frías, María Ángeles Rosales González, José Carlos Embedding dimension Frobenius number Genus Multiplicity Numerical semigroup A numerical semigroup is parity (P-semigroup) if the sum of two consecutive elements of S is odd. In this paper we will order the P-semigroups creating a tree with root. This ordering allows us to give some algorithms to build all the P-semigroups with a fixed genus and Frobenius number. Also, we will study the maximal P-semigroups with a given Frobenius number as well as the P-semigroups with maximum embedding dimension. 2020-06-29T11:53:31Z 2020-06-29T11:53:31Z 2020 info:eu-repo/semantics/article Moreno Frías, María Ángeles; Rosales González, José Carlos. Parity numerical semigroups. Hacet. J. Math. Stat. Volume 49 (3) (2020), 1067 – 1075 [DOI: 10.15672/hujms.548289] http://hdl.handle.net/10481/62782 10.15672/hujms.548289 eng http://creativecommons.org/licenses/by-nc-nd/3.0/es/ info:eu-repo/semantics/openAccess Atribución-NoComercial-SinDerivadas 3.0 España Science Publications