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Algebra and Discrete Mathematics, 2019, том 27, выпуск 1, страницы 99–116
(Mi adm696)
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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
Аннотация:
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.
Ключевые слова:
Arf numerical semigroup, numerical semigroup, sparse numerical semigroup, Weierstrass semigroup, weight of numerical semigroup.
Поступила в редакцию: 20.07.2017 Исправленный вариант: 22.11.2017
Образец цитирования:
Guilherme Tizziotti, Juan Villanueva, “On certain families of sparse numerical semigroups with Frobenius number even”, Algebra Discrete Math., 27:1 (2019), 99–116
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm696 https://www.mathnet.ru/rus/adm/v27/i1/p99
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