On certain families of sparse numerical semigroups with Frobenius number even

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 semig...

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Date:	2019
Main Authors:	Tizziotti, Guilherme, Villanueva, Juan
Format:	Article
Language:	English
Published:	Lugansk National Taras Shevchenko University 2019
Subjects:	Arf numerical semigroup numerical semigroup sparse numerical semigroup Weierstrass semigroup weight of numerical semigroup 20M10 20M14 14H55
Online Access:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/510
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Journal Title:	Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics

id	admjournalluguniveduua-article-510
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spelling	admjournalluguniveduua-article-5102019-03-23T17:44:10Z On certain families of sparse numerical semigroups with Frobenius number even Tizziotti, Guilherme Villanueva, Juan Arf numerical semigroup, numerical semigroup, sparse numerical semigroup, Weierstrass semigroup, weight of numerical semigroup 20M10; 20M14; 14H55 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. Lugansk National Taras Shevchenko University 2019-03-23 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/510 Algebra and Discrete Mathematics; Vol 27, No 1 (2019) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/510/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/510/237 Copyright (c) 2019 Algebra and Discrete Mathematics
institution	Algebra and Discrete Mathematics
baseUrl_str
datestamp_date	2019-03-23T17:44:10Z
collection	OJS
language	English
topic	Arf numerical semigroup numerical semigroup sparse numerical semigroup Weierstrass semigroup weight of numerical semigroup 20M10 20M14 14H55
spellingShingle	Arf numerical semigroup numerical semigroup sparse numerical semigroup Weierstrass semigroup weight of numerical semigroup 20M10 20M14 14H55 Tizziotti, Guilherme Villanueva, Juan On certain families of sparse numerical semigroups with Frobenius number even
topic_facet	Arf numerical semigroup numerical semigroup sparse numerical semigroup Weierstrass semigroup weight of numerical semigroup 20M10 20M14 14H55
format	Article
author	Tizziotti, Guilherme Villanueva, Juan
author_facet	Tizziotti, Guilherme Villanueva, Juan
author_sort	Tizziotti, Guilherme
title	On certain families of sparse numerical semigroups with Frobenius number even
title_short	On certain families of sparse numerical semigroups with Frobenius number even
title_full	On certain families of sparse numerical semigroups with Frobenius number even
title_fullStr	On certain families of sparse numerical semigroups with Frobenius number even
title_full_unstemmed	On certain families of sparse numerical semigroups with Frobenius number even
title_sort	on certain families of sparse numerical semigroups with frobenius number even
description	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.
publisher	Lugansk National Taras Shevchenko University
publishDate	2019
url	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/510
work_keys_str_mv	AT tizziottiguilherme oncertainfamiliesofsparsenumericalsemigroupswithfrobeniusnumbereven AT villanuevajuan oncertainfamiliesofsparsenumericalsemigroupswithfrobeniusnumbereven
first_indexed	2025-12-02T15:31:46Z
last_indexed	2025-12-02T15:31:46Z
_version_	1850412078481801216

On certain families of sparse numerical semigroups with Frobenius number even

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