%0 Journal Article 
%A Moreno Frías, María Ángeles
%A Rosales, José Carlos
%T Parity numerical semigroups
%D 2020
%@ 2651-477X
%U http://hdl.handle.net/10498/23314
%X 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.
%K embedding dimension
%K Frobenius number
%K genus
%K multiplicity
%K numerical semigroup
%~ Universidad de Cádiz