The corner element of generalized numerical semigroups

Souza, Matheus Bernardini de; Tenório, Wanderson; Tizziotti, Guilherme

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dc.contributor.author	Souza, Matheus Bernardini de	-
dc.contributor.author	Tenório, Wanderson	-
dc.contributor.author	Tizziotti, Guilherme	-
dc.date.accessioned	2022-09-19T18:37:47Z	-
dc.date.available	2022-09-19T18:37:47Z	-
dc.date.issued	2022-05-13	-
dc.identifier.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.	pt_BR
dc.identifier.uri	https://repositorio.unb.br/handle/10482/44848	-
dc.language.iso	Inglês	pt_BR
dc.publisher	Springer	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	The corner element of generalized numerical semigroups	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Elemento de canto	pt_BR
dc.subject.keyword	Semigrupos numéricos generalizados	pt_BR
dc.subject.keyword	ODS 4 - Educação de qualidade	pt_BR
dc.subject.keyword	Objetivos de Desenvolvimento Sustentável (ODS)	pt_BR
dc.identifier.doi	https://doi.org/10.1007/s00025-022-01682-9	pt_BR
dc.description.abstract1	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.	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0003-3441-1265	pt_BR
Collection(s) :	FGA - Artigos publicados em periódicos