Basic ideals in evolution algebras

dc.contributor.authorCabrera-Casado, Yolanda
dc.contributor.authorSiles-Molina, Mercedes
dc.contributor.authorKanuni, Müge
dc.date.accessioned2024-09-28T09:48:23Z
dc.date.available2024-09-28T09:48:23Z
dc.date.issued2019
dc.departamentoMatemática Aplicada
dc.description.abstractWith the aim of finding useful tools and invariants to classify finite dimensional evolution algebras, we introduce and study the notion of a basic ideal. Every n-dimensional perfect evolution algebra has a maximal basic ideal I which is unique except when the dimension of I is n-1. An application of our results leads to the description of the four dimensional perfect non-simple evolution algebras over a field with mild restrictions.es_ES
dc.identifier.citationYolanda Cabrera Casado, Müge Kanuni, Mercedes Siles Molina, Basic ideals in evolution algebras, Linear Algebra and its Applications, Volume 570, 2019, Pages 148-180, ISSN 0024-3795, https://doi.org/10.1016/j.laa.2019.01.010es_ES
dc.identifier.doi10.1016/j.laa.2019.01.010
dc.identifier.urihttps://hdl.handle.net/10630/33814
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.rights.accessRightsopen accesses_ES
dc.subjectAlgebras genéticases_ES
dc.subject.otherGenetic algebraes_ES
dc.subject.otherEvolution algebraes_ES
dc.subject.otherSimple algebraes_ES
dc.subject.otherPerfect evolution algebraes_ES
dc.subject.otherBasic ideales_ES
dc.titleBasic ideals in evolution algebrases_ES
dc.typejournal articlees_ES
dc.type.hasVersionAMes_ES
dspace.entity.typePublication
relation.isAuthorOfPublication93e4a84d-2181-4153-a84b-86ff8b1abd99
relation.isAuthorOfPublication8567a6dc-0f8c-493a-835a-3b7013c10cbe
relation.isAuthorOfPublication.latestForDiscovery93e4a84d-2181-4153-a84b-86ff8b1abd99

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