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Titre: The corner element of generalized numerical semigroups
Auteur(s): Souza, Matheus Bernardini de
Tenório, Wanderson
Tizziotti, Guilherme
metadata.dc.identifier.orcid: https://orcid.org/0000-0003-3441-1265
Assunto:: Elemento de canto
Semigrupos numéricos generalizados
ODS 4 - Educação de qualidade
Objetivos de Desenvolvimento Sustentável (ODS)
Date de publication: 13-mai-2022
Editeur: Springer
Référence bibliographique: BERNARDINI, Matheus; TENÓRIO, Wanderson; TIZZIOTTI, Guilherme. The corner element of generalized numerical semigroups. Results in Mathematics, v. 77, n. 4, art. 141, ago. 2022. DOI 10.1007/s00025-022-01682-9. Disponível em: https://link.springer.com/article/10.1007/s00025-022-01682-9. Acesso em: 19 set. 2022.
Abstract: In this paper we introduce the concept of corner element of a generalized numerical semigroup, which extends in a sense the idea of conductor of a numerical semigroup to generalized numerical semigroups in higher dimensions. We present properties of this new notion and its relations with existing invariants in the literature, and provide an algorithm to compute all the generalized numerical semigroups with fixed corner. Besides that, we provide lower and upper bounds on the number of generalized numerical semigroups having a fixed corner element.
metadata.dc.description.unidade: Faculdade UnB Gama (FGA)
DOI: https://doi.org/10.1007/s00025-022-01682-9
Collection(s) :Artigos publicados em periódicos e afins

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