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Measuring primality in numerical semigroups with embedding dimension three

dc.contributor.authorChapman, Scott T.es_ES
dc.contributor.authorGarcía Sánchez, Pedro Abelardo es_ES
dc.contributor.authorTripp, Z.es_ES
dc.contributor.authorViola, Caterinaes_ES
dc.date.accessioned2018-03-09T07:35:42Z
dc.date.available2018-03-09T07:35:42Z
dc.date.issued2016-08-31
dc.identifier.citationChapman, S.T.; et al. Measuring primality in numerical semigroups with embedding dimension three. Journal of Algebra and Its Applications, 15(1): 16500079 (2016). [http://hdl.handle.net/10481/49894]es_ES
dc.identifier.issn0219-4988
dc.identifier.issn1793-6829
dc.identifier.urihttp://hdl.handle.net/10481/49894
dc.descriptionElectronic version of an article published as Journal of Algebra and Its Applications, 15, 1, 2016, 1650007. DOI:10.1142/S0219498816500079 © World Scientific Publishing Company https://www.worldscientific.com/doi/abs/10.1142/S0219498816500079en_EN
dc.description.abstractIn this paper, we find the ω-value of the generators of any numerical semigroup with embedding dimension three. This allows us to determine all possible orderings of the ω-values of the generators. In addition, we relate the ω-value of the numerical semigroup to its catenary degree.en_EN
dc.description.sponsorshipThe first and third authors received National Science Foundation support under DMS-1262897. The second author is supported by the projects MTM2010-15595, FQM-343, FQM-5849, NSF-1061366 and FEDER funds.en_EN
dc.language.isoenges_ES
dc.publisherWorld Scientific Publishing Companyes_ES
dc.rightsCreative Commons Attribution-NonCommercial-NoDerivs 3.0 License
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/
dc.subjectPrime elementen_EN
dc.subjectNumerical semigroupen_EN
dc.subjectω-functionen_EN
dc.subjectOmega functionen_EN
dc.titleMeasuring primality in numerical semigroups with embedding dimension threeen_EN
dc.typeinfo:eu-repo/semantics/articleen_EN
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_EN
dc.identifier.doi10.1142/S0219498816500079


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