Parity numerical semigroups

Authors : María ángeles MORENO FRIAS, José Carlos ROSALES

Pages : 1067-1075

Doi:10.15672/hujms.548289

View : 16 | Download : 5

Publication Date : 2020-06-02

Article Type : Research Paper

Abstract :A numerical semigroup is parity insert ignore into journalissuearticles values(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