Basic ideals in evolution algebras

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dc.contributor.authorCasado, Yolanda Cabrera
dc.contributor.authorEr, Müge Kanuni
dc.contributor.authorMolina, Mercedes Siles
dc.date.accessioned2020-04-30T22:40:04Z
dc.date.available2020-04-30T22:40:04Z
dc.date.issued2019
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.descriptionMolina, Mercedes Siles/0000-0002-4299-5187; Kanuni, Muge/0000-0001-7436-039X; Cabrera Casado, Yolanda/0000-0003-4299-4392en_US
dc.descriptionWOS: 000462811200007en_US
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. (C) 2019 Elsevier Inc. All rights reserved.en_US
dc.description.sponsorshipJunta de AndaluciaJunta de Andalucia [FQM-336, FQM-7156]; Fondos FEDEREuropean Union (EU) [FQM-336, FQM-7156, MTM2016-76327-C3-1-P]; Spanish Ministerio de Economia y Competitividad [MTM2016-76327-C3-1-P]en_US
dc.description.sponsorshipThe first and the third authors are supported by the Junta de Andalucia and Fondos FEDER, jointly, through projects FQM-336 and FQM-7156. They are also supported by the Spanish Ministerio de Economia y Competitividad and Fondos FEDER, jointly, through project MTM2016-76327-C3-1-P.en_US
dc.identifier.doi10.1016/j.laa.2019.01.010en_US
dc.identifier.endpage180en_US
dc.identifier.issn0024-3795
dc.identifier.issn1873-1856
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage148en_US
dc.identifier.urihttps://doi.org/10.1016/j.laa.2019.01.010
dc.identifier.urihttps://hdl.handle.net/20.500.12684/2896
dc.identifier.volume570en_US
dc.identifier.wosWOS:000462811200007en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Science Incen_US
dc.relation.ispartofLinear Algebra And Its Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGenetic algebraen_US
dc.subjectEvolution algebraen_US
dc.subjectSimple algebraen_US
dc.subjectPerfect algebraen_US
dc.subjectBasic idealen_US
dc.subjectIrreducible algebraen_US
dc.titleBasic ideals in evolution algebrasen_US
dc.typeArticleen_US

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