Title:	The corner element of generalized numerical semigroups
Authors:	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)
Issue Date:	13-May-2022
Publisher:	Springer
Citation:	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
Appears in Collections:	Artigos publicados em periódicos e afins

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