@misc{10498/23314, year = {2020}, url = {http://hdl.handle.net/10498/23314}, abstract = {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.}, publisher = {HACETTEPE UNIV}, keywords = {embedding dimension}, keywords = {Frobenius number}, keywords = {genus}, keywords = {multiplicity}, keywords = {numerical semigroup}, title = {Parity numerical semigroups}, doi = {10.15672/hujms.548289}, author = {Moreno Frías, María Ángeles and Rosales, José Carlos}, }