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A computational Approach to the Study of Finite-Complement Submonids of an Affine Cone

dc.contributor.authorRosales González, José Carlos 
dc.contributor.authorTapia-Ramos, R.
dc.contributor.authorVigneron Tenorio, Alberto
dc.date.accessioned2025-04-30T06:09:50Z
dc.date.available2025-04-30T06:09:50Z
dc.date.issued2025-03-08
dc.identifier.citationRosales, J.C., Tapia-Ramos, R. & Vigneron-Tenorio, A. A computational Approach to the Study of Finite-Complement Submonids of an Affine Cone. Results Math 80, 66 (2025). https://doi.org/10.1007/s00025-025-02373-xes_ES
dc.identifier.urihttps://hdl.handle.net/10481/103847
dc.descriptionFunding for open access publishing: Universidad de Cádiz/CBUA. The last author is partially supported by grant PID2022-138906NB-C21 funded by MICIU/AEI/10.13039/501100011033 and by ERDF/EU. Consejería de Universidad, Investigación e Innovación de la Junta de Andalucía project ProyExcel_00868 and research group FQM343 also partially supported all the authors. This publication and research have been partially granted by INDESS (Research University Institute for Sustainable Social Development), Universidad de Cádiz, Spain.es_ES
dc.description.abstractLet C ⊆ Np be an integer cone. A C-semigroup S ⊆ C is an affine semigroup such that the set C\S is finite. Such C-semigroups are central to our study. We develop new algorithms for computing C-semigroups with specified invariants, including genus, Frobenius element, and their combinations, among other invariants. To achieve this, we introduce a new class of C-semigroups, termed B-semigroups. By fixing the degree lexicographic order, we also research the embedding dimension for both ordinary and mult-embedded N2-semigroups. These results are applied to test some generalizations of Wilf’s conjecture.es_ES
dc.description.sponsorshipUniversidad de Cádiz/CBUAes_ES
dc.description.sponsorshipMICIU/AEI/10.13039/501100011033 PID2022-138906NB-C21es_ES
dc.description.sponsorshipERDF/EUes_ES
dc.description.sponsorshipJunta de Andalucía ProyExcel_00868, FQM343es_ES
dc.description.sponsorshipUniversidad de Cádiz, Spain, INDESSes_ES
dc.language.isoenges_ES
dc.publisherSpringer Naturees_ES
dc.rightsAtribución 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectAffine semigroupes_ES
dc.subjectC-semigroupses_ES
dc.subjectEmbedding dimensiones_ES
dc.subjectFrobenius elementes_ES
dc.subjectGeneralized numerical semigroupes_ES
dc.titleA computational Approach to the Study of Finite-Complement Submonids of an Affine Conees_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.1007/s00025-025-02373-x
dc.type.hasVersionVoRes_ES


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