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On a ternary octonion algebra

2025-07-07Artigo científico Acesso aberto
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datacite.subject.fosCiências Naturais::Matemáticas
dc.contributor.authorBeites, Patrícia Damas
dc.contributor.authorNicolás, Alejandro
dc.contributor.authorCórdova Martínez, Alejandra Sarina
dc.date.accessioned2026-01-20T12:35:02Z
dc.date.available2026-01-20T12:35:02Z
dc.date.issued2025-07-07
dc.description.abstractFollowing a research direction proposed in an earlier work, the ternary octonion algebra O, which is a ternary composition algebra, is considered. By hand and applying computational linear algebra on matrices, 1-identities and 2-identities of O are established. From some of these identities, the non-conservativeness of O and of some of its binary reduced algebras, which are binary standard composition algebras of types II and III, is proved. Also from identities of O, using computational linear algebra based on the representation theory of the symmetric group, ternary enveloping algebras for ternary Maltsev algebras are constructed.eng
dc.identifier.citationBeites, P.D., Nicolás, A.P. & Martínez, C. On a Ternary Octonion Algebra. Complex Anal. Oper. Theory 19, 122 (2025). https://doi.org/10.1007/s11785-025-01750-2
dc.identifier.doi10.1007/s11785-025-01750-2
dc.identifier.eissn1661-8262
dc.identifier.issn1661-825
dc.identifier.urihttp://hdl.handle.net/10400.6/19702
dc.language.isoeng
dc.peerreviewedyes
dc.publisherSpringer Nature
dc.relationCenter of Mathematics and Applications of University of Beira Interior [UIDB/00212/2020]
dc.relation.hasversionhttps://link.springer.com/article/10.1007/s11785-025-01750-2
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectComposition álgebra
dc.subjectIdentity
dc.subjectConservative algebra
dc.subjectMaltsev algebra
dc.subjectEnveloping álgebra
dc.subjectComputational linear algebra
dc.titleOn a ternary octonion algebrapor
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCenter of Mathematics and Applications of University of Beira Interior [UIDB/00212/2020]
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00212%2F2020/PT
oaire.citation.issue122
oaire.citation.titleComplex Analysis and Operator Theory
oaire.citation.volume19
oaire.fundingStream6817 - DCRRNI ID
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyNameBeites
person.familyNameNicolás
person.familyNameCórdova Martínez
person.givenNamePatrícia Damas
person.givenNameAlejandro
person.givenNameAlejandra Sarina
person.identifier.ciencia-id591A-8D9A-73CE
person.identifier.orcid0000-0003-0266-7055
person.identifier.orcid0000-0001-6499-0072
person.identifier.orcid0000-0002-7578-9574
person.identifier.ridK-5772-2017
person.identifier.ridK-4270-2017
person.identifier.scopus-author-id37041170800
person.identifier.scopus-author-id6507537360
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
relation.isAuthorOfPublication9f86873f-5364-4413-a23d-ceab6f2372a3
relation.isAuthorOfPublicationacbd511d-44f9-4c32-89e7-ff0af17de2ac
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