Please use this identifier to cite or link to this item: https://hdl.handle.net/10316/111160
DC FieldValueLanguage
dc.contributor.authorBremner, Murray R.-
dc.contributor.authorBrox, Jose-
dc.contributor.authorSánchez-Ortega, Juana-
dc.date.accessioned2024-01-03T10:26:18Z-
dc.date.available2024-01-03T10:26:18Z-
dc.date.issued2023-
dc.identifier.issn1422-6383pt
dc.identifier.issn1420-9012pt
dc.identifier.urihttps://hdl.handle.net/10316/111160-
dc.description.abstractWe study polynomial identities satisfied by the mutation product xpy-yqx on the underlying vector space of an associative algebra A, where p, q are fixed elements of A. We simplify known results for identities in degree 4, proving that only two identities are necessary and sufficient to generate them all; in degree 5, we show that adding one new identity suffices; in degree 6, we demonstrate the existence of a significant number of new identities, which induce us to conjecture that the variety generated by mutation algebras of associative algebras is not finitely based.pt
dc.language.isoengpt
dc.publisherSpringer Naturept
dc.relationOpen access funding provided by FCT—FCCN (b-on). Murray Bremner was supported by the Discovery Grant Algebraic Operads from NSERC, the Natural Sciences and Engineering Research Council of Canada. Jose Brox was supported by the Portuguese Government through grant SFRH/BPD/118665/ 2016 (FCT/Centro 2020/Portugal 2020/ESF). Juana S´anchez-Ortega was supported by a CSUR grant from the NRF, the National Research Foundation of South Africa. This work was partially supported by the Centre for Mathematics of the University of Coimbra—UID/MAT/00324/2020, funded through FCT/MCTES, Funda¸c˜ao para a Ciˆencia e a Tecnologia/Minist´erio da Ciˆencia, Tecnologia e Ensino Superior de Portugal.pt
dc.rightsopenAccesspt
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt
dc.subjectMutation algebraspt
dc.subjectLie-admissiblept
dc.subjectJordan-admissiblept
dc.subjectpolynomial identitiespt
dc.subjectalgebraic operadspt
dc.subjectcomputer algebrapt
dc.subjecttheoretical particlephysicspt
dc.titleHigher Polynomial Identities for Mutations of Associative Algebraspt
dc.typearticle-
degois.publication.firstPage237pt
degois.publication.issue6pt
degois.publication.titleResults in Mathematicspt
dc.peerreviewedyespt
dc.identifier.doi10.1007/s00025-023-01986-4pt
degois.publication.volume78pt
dc.date.embargo2023-01-01*
uc.date.periodoEmbargo0pt
item.grantfulltextopen-
item.cerifentitytypePublications-
item.languageiso639-1en-
item.openairetypearticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextCom Texto completo-
crisitem.author.orcid0000-0001-9822-5838-
Appears in Collections:FCTUC Matemática - Artigos em Revistas Internacionais
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