A note on complete evolution algebras

Simple item page
dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Matemáticas
dc.contributor.authorGarcía-Martínez, Xabier
dc.contributor.authorPérez Rodríguez, Andrés
dc.date.accessioned2026-05-07T11:19:37Z
dc.date.available2026-05-07T11:19:37Z
dc.date.issued2026-04-22
dc.description.abstractThis short note provides positive answers to two conjectures of Camacho, Khudoyberdiyev, and Omirov on the classification of complete evolution algebras. Our approach is based on analysing the solution set of a generic non-linear polynomial system of equations using elementary tools from algebraic geometry. We also obtain new results on subalgebras and idempotents of evolution algebras, and conclude by proposing a conjecture that may characterise solvable evolution algebras.
dc.description.peerreviewedSI
dc.description.sponsorshipOpen Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature.
dc.description.sponsorshipSupported by the projects PID2020-115155GB-I00 and PID2024-155502NB-I00 granted by MICIU/AEI/10.13039/501100011033; and by Xunta de Galicia through the Competitive Reference Groups (GRC), ED431C 2023/31. The second author was also supported by the predoctoral contract FPU21/05685 from the Ministerio de Ciencia, Innovación y Universidades (Spain).
dc.identifier.citationGarcía-Martínez, X., & Pérez-Rodríguez, A. (2026) A note on complete evolution algebras, Archiv der Mathematik. https://doi.org/10.1007/s00013-026-02251-0
dc.identifier.doi10.1007/s00013-026-02251-0
dc.identifier.essn1420-8938
dc.identifier.urihttps://hdl.handle.net/10347/47156
dc.journal.titleArchiv der Mathematik (AdM)
dc.language.isoeng
dc.page.final8
dc.publisherSpringer
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 2017-2020/PID2024-155502NB-I00/ES/
dc.relation.publisherversionhttps://doi.org/10.1007/s00013-026-02251-0
dc.rightsThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit 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.subjectComplete evolution algebras
dc.subjectSubalgebras
dc.subjectIdempotents
dc.titleA note on complete evolution algebras
dc.typejournal article
dc.type.hasVersionVoR
dspace.entity.typePublication
relation.isAuthorOfPublicationc19201ed-550c-49d6-bd69-c8334759ba37
relation.isAuthorOfPublication.latestForDiscoveryc19201ed-550c-49d6-bd69-c8334759ba37

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
2026_archiv_garcia_note.pdf
Size:
317.14 KB
Format:
Adobe Portable Document Format
Download

Collections

Matemáticas
Centro de Investigación e Tecnoloxía Matemática de Galicia (CITMAga)