Parity numerical semigroups
Authors : María Ángeles Moreno Frias, José Carlos Rosales
Pages : 1067-1075
Doi:10.15672/hujms.548289
View : 11 | Download : 4
Publication Date : 2020-06-02
Article Type : Research
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.Keywords : Embedding dimension, Frobenius Number, Genus, Multiplicity, numerical semigroup