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dc.contributor.authorCabrera-Casado, Yolanda 
dc.contributor.authorMartín-Barquero, Dolores 
dc.contributor.authorMartín-González, Cándido 
dc.contributor.authorTocino-Sánchez, Alicia 
dc.date.accessioned2024-03-11T10:16:35Z
dc.date.available2024-03-11T10:16:35Z
dc.date.created2024
dc.date.issued2023
dc.identifier.citationCasado, Y.C., Barquero, D.M., González, C.M. et al. Connecting ideals in evolution algebras with hereditary subsets of its associated graph. Collect. Math. (2024). https://doi.org/10.1007/s13348-024-00435-xes_ES
dc.identifier.urihttps://hdl.handle.net/10630/30794
dc.description.abstractIn this article, we introduce a relation including ideals of an evo-lution algebra and hereditary subsets of vertices of its associated graph andestablish some properties among them. This relation allows us to determinemaximal ideals and ideals having the absorption property of an evolution alge-bra in terms of its associated graph. We also define a couple of order-preservingmaps, one from the sets of ideals of an evolution algebra to that of hereditarysubsets of the corresponding graph, and the other in the reverse direction.Conveniently restricted to the set of absorption ideals and to the set of heredi-tary saturated subsets, this is a monotone Galois connection. According to thegraph, we characterize arbitrary dimensional finitely-generated (as algebras)evolution algebras under certain restrictions of its graph. Furthermore, thesimplicity of finitely-generated perfect evolution algebras is described on thebasis of the simplicity of the graph.es_ES
dc.description.sponsorshipFunding for open access charge: Universidad de Málaga / CBUA.es_ES
dc.language.isoenges_ES
dc.rightsinfo:eu-repo/semantics/openAccesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectAlgebraes_ES
dc.subjectGalois, Teoría dees_ES
dc.subjectGrupos, Teoría dees_ES
dc.subjectMatemáticas aplicadases_ES
dc.subject.otherEvolution algebraes_ES
dc.subject.otherGalois connectiones_ES
dc.subject.otherSimple algebraes_ES
dc.subject.otherDirected graphes_ES
dc.subject.otherMaximal ideales_ES
dc.subject.otherAbsorption propertyes_ES
dc.subject.otherHereditary subsetes_ES
dc.subject.otherSaturated subsetes_ES
dc.titleConnecting ideals in evolution algebras with hereditary subsets of its associated graphes_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.centroFacultad de Ciencias
dc.identifier.doi10.1007/s13348-024-00435-x
dc.rights.ccAtribución 4.0 Internacional
dc.rights.ccAtribución 4.0 Internacional
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersiones_ES


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