Computation of numerical semigroups by means of seeds

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/118339

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor	Universitat Politècnica de Catalunya. TN - Grup de Recerca en Teoria de Nombres
dc.contributor.author	Bras Amorós, Maria
dc.contributor.author	Fernández González, Julio
dc.date	2018-09-01
dc.identifier.citation	Bras, M., Fernandez, J. Computation of numerical semigroups by means of seeds. "Mathematics of computation", 1 Setembre 2018, vol. 87, núm. 313, p. 2539-2550.
dc.identifier.citation	0025-5718
dc.identifier.citation	https://arxiv.org/pdf/1607.01545.pdf
dc.identifier.citation	10.1090/mcom/3292
dc.identifier.uri	http://hdl.handle.net/2117/118339
dc.language.iso	eng
dc.relation	http://www.ams.org/journals/mcom/2018-87-313/S0025-5718-2018-03292-6/
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de grups
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de nombres
dc.subject	Algebra
dc.subject	Group theory
dc.subject	Ordered algebraic structures
dc.subject	Number theory
dc.subject	Àlgebra
dc.subject	Semigrups
dc.subject	Grups, Teoria de
dc.subject	Nombres, Teoria dels
dc.title	Computation of numerical semigroups by means of seeds
dc.type	info:eu-repo/semantics/submittedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	For the elements of a numerical semigroup which are larger than the Frobenius number, we introduce the definition of seed by broadening the notion of generator. This new concept allows us to explore the semigroup tree in an alternative efficient way, since the seeds of each descendant can be easily obtained from the seeds of its parent. The paper is devoted to presenting the results which are related to this approach, leading to a new algorithm for computing and counting the semigroups of a given genus.

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