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Algebra and Discrete Mathematics, 2019, Volume 27, Issue 1, Pages 99–116 (Mi adm696)  
RESEARCH ARTICLE

On certain families of sparse numerical semigroups with Frobenius number even

Guilherme Tizziottia, Juan Villanuevab

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
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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.
Funding agency Grant number
National Council for Scientific and Technological Development (CNPq) 446913/2014-6
Minas Gerais Research Foundation APQ-01607-14
Coordenaҫão de Aperfeiҫoamento de Pessoal de Nível Superior
The first author partially supported by CNPq 446913/2014-6 and FAPEMIG APQ-01607-14. The second author partially supported by PNPD/CAPES, by Programa de Pós-doutorado da FAMAT, Câmpus Santa Mônica, Universidade Federal de Uberlândia.
Received: 20.07.2017
Revised: 22.11.2017
Document Type: Article
MSC: 20M10, 20M14, 14H55
Language: English
Citation: Guilherme Tizziotti, Juan Villanueva, “On certain families of sparse numerical semigroups with Frobenius number even”, Algebra Discrete Math., 27:1 (2019), 99–116
Citation in format AMSBIB
\Bibitem{TizVil19}
\by Guilherme~Tizziotti, Juan~Villanueva
\paper On certain families of sparse numerical semigroups with Frobenius number even
\jour Algebra Discrete Math.
\yr 2019
\vol 27
\issue 1
\pages 99--116
\mathnet{http://mi.mathnet.ru/adm696}
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