Regular evolution algebras are closed under subalgebras

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Matemáticas
dc.contributor.authorLadra González, Manuel
dc.contributor.authorPérez Rodríguez, Andrés
dc.date.accessioned2026-05-07T11:06:58Z
dc.date.available2026-05-07T11:06:58Z
dc.date.issued2025-11-28
dc.description.abstractThe main goal of this note is to show that subalgebras of regular evolution algebras are themselves evolution algebras. This allows us to assume, without loss of generality, that every subalgebra in the regular setting has a basis consisting of vectors with disjoint supports. Finally, we use this result to characterise the existence of codimension-one subalgebras in regular evolution algebras.
dc.description.peerreviewedSI
dc.description.sponsorshipThis work was partially supported by Agencia Estatal de Investigación (Spain), grants PID2020-115155GB-I00 and PID2024-155502NB-I00 (European FEDER support included , UE) and by Xunta de Galicia through the Competitive Reference Groups (GRC), ED431C 2023/31. The second author was also supported by FPU21/05685 scholarship, Ministerio de Educación y Formación Profesional (Spain).
dc.identifier.citationLadra, M., & Pérez-Rodríguez, A. (2025) Regular evolution algebras areclosed undersubalgebras, Comptes Rendus Mathématique, 363, 1461-1465. http://creativecommons.org/licenses/by/4.0/
dc.identifier.doi10.48550/arXiv.2503.07187
dc.identifier.essn1778-3569
dc.identifier.urihttps://hdl.handle.net/10347/47155
dc.journal.titleComptes Rendus Mathématique
dc.language.isoeng
dc.page.final1465
dc.page.initial1461
dc.publisherAcadémie des Sciences
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-115155GB-I00/ES/HOMOLOGIA, HOMOTOPIA E INVARIANTES CATEGORICOS EN GRUPOS Y ALGEBRAS NO ASOCIATIVAS
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2024-2027/PID2024-155502NB-I00/ES/
dc.relation.publisherversionhttps://doi.org/10.48550/arXiv.2503.07187
dc.rightsThis article is licensed under the Creative Commons Attribution 4.0 International License. http://creativecommons.org/licenses/by/4.0/
dc.rightsAttribution 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectEvolution algebras
dc.subjectRegular evolution algebras
dc.subjectSubalgebras
dc.titleRegular evolution algebras are closed under subalgebras
dc.typejournal article
dc.type.hasVersionVoR
dc.volume.number363
dspace.entity.typePublication
relation.isAuthorOfPublication2b7d6a14-fd3c-41da-a849-ff485bf2c3bc
relation.isAuthorOfPublication.latestForDiscovery2b7d6a14-fd3c-41da-a849-ff485bf2c3bc

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