Guilherme Tizziotti, Juan Villanueva, “On certain families of sparse numerical semigroups with Frobenius number even”, Algebra Discrete Math., 2019, Volume 27, Issue 1,Pages <nobr>99

RESEARCH ARTICLE

On certain families of sparse numerical semigroups with Frobenius number even

Guilherme Tizziotti^a, Juan Villanueva^b

^a Universidade Federal de Uberlândia, Câmpus Santa Mônica, Faculdade de Matemática, Av. João Naves de Ávila 2.160, Santa Mônica, 38.408-100, Uberlândia - MG, Brasil
^b Universidade Federal de Mato Grosso, Câmpus Universitário do Araguaia, Instituto de Ciências Exatas e da Terra, Av. Senador Valdon Varjão 6.390, Setor Industrial, 78.600-000, Barra do Garças - MT, Brasil

Abstract: This paper is about sparse numerical semigroups and applications in the Weierstrass semigroups theory. We describe and find the genus of certain families of sparse numerical semigroups with Frobenius number even and we also study the realization of the elements on these families as Weierstrass semigroups.

Keywords: Arf numerical semigroup, numerical semigroup, sparse numerical semigroup, Weierstrass semigroup, weight of numerical semigroup.

MSC: 20M10, 20M14, 14H55

Received: 20.07.2017
Revised: 22.11.2017

Language: English