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dc.contributor.authorGarcía García, Juan Ignacio
dc.contributor.authorOjeda, Ignacio
dc.contributor.authorRosales, José Carlos
dc.contributor.authorVigneron Tenorio, Alberto
dc.date.accessioned2020-04-08T12:49:38Z
dc.date.available2020-04-08T12:49:38Z
dc.date.issued2020
dc.identifier.citationCollectanea Mathematica, 2020, vol. 71. p. 189-204es
dc.identifier.issn2038-4815es
dc.identifier.urihttp://uvadoc.uva.es/handle/10324/40730
dc.descriptionProducción Científicaes
dc.description.abstractIn this paper we study those submonoids of Nd with a nontrivial pseudo-Frobenius set. In the affine case, we prove that they are the affine semigroups whose associated algebra over a field has maximal projective dimension possible. We prove that these semigroups are a natural generalization of numerical semigroups and, consequently, most of their invariants can be generalized. In the last section we introduce a new family of submonoids of Nd and using its pseudo-Frobenius elements we prove that the elements in the family are direct limits of affine semigroups.es
dc.format.mimetypeapplication/pdfes
dc.language.isoenges
dc.publisherSpringeres
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subject.classificationNumerical semigroupses
dc.subject.classificationSemigrupos numéricoses
dc.subject.classificationAffine semigroupses
dc.subject.classificationSemigrupos afineses
dc.subject.classificationPseudo-Frobenius numberes
dc.subject.classificationPseudo-número de Frobeniuses
dc.subject.classificationFree resolutionses
dc.subject.classificationResoluciones libreses
dc.titleOn pseudo-Frobenius elements of submonoids of Ndes
dc.typeinfo:eu-repo/semantics/articlees
dc.rights.holder© 2020 Springeres
dc.identifier.doi10.1007/s13348-019-00267-0es
dc.relation.publisherversionhttps://link.springer.com/article/10.1007%2Fs13348-019-00267-0es
dc.peerreviewedSIes
dc.description.projectMinisterio de Economía, Industria y Competitividad (project MTM2017-84890-P)es
dc.description.projectMinisterio de Economía, Industria y Competitividad - Fondo Europeo de Desarrollo Regional (project MTM2015-65764-C3-1-P)es
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersiones


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