About nilalgebras satisfying (xy)2 = x 2 y 2

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dc.contributor.authorBehn, A.
dc.contributor.authorCorrea, I.
dc.contributor.authorGutierrez Fernandez, J.C.
dc.contributor.authorGarcia, C.I.
dc.date.accessioned2024-01-10T13:44:38Z
dc.date.available2024-01-10T13:44:38Z
dc.date.issued2021
dc.description.abstract© 2021 Taylor & Francis Group, LLC.A classical problem in nonassociative algebras involves the existence of simple finite-dimensional commutative nilalgebras. In this paper, we study the class Ω of nonassociative algebras satisfying the identity (Formula presented.) over a field of characteristic different from 2 and 3. We show that every unitary algebra in Ω is associative. Next, we prove that each prime algebra in Ω is either associative or its center vanishes. For nilalgebras, we obtain that every nilalgebra in Ω is an Engel algebra. Finally, we show that every commutative nilalgebra in Ω of nilindex 4 over a field of characteristic not 2, 3 and 5 is solvable of index (Formula presented.).
dc.fechaingreso.objetodigital2024-04-30
dc.fuente.origenScopus
dc.identifier.doi10.1080/00927872.2021.1903024
dc.identifier.eissn15324125
dc.identifier.issn15324125 00927872
dc.identifier.scopusidSCOPUS_ID:85104078894
dc.identifier.urihttps://doi.org/10.1080/00927872.2021.1903024
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/78927
dc.identifier.wosidWOS:000638562000001
dc.information.autorucFacultad de Matemáticas; Behn Von Schmieden, Antonio Francisco; S/I; 1101905
dc.issue.numero9
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final3719
dc.pagina.inicio3708
dc.publisherBellwether Publishing, Ltd.
dc.revistaCommunications in Algebra
dc.rightsacceso restringido
dc.subjectAlbert’s problem
dc.subjectcommutative algebras
dc.subjectfinite-dimensional algebras
dc.subjectPI-algebras
dc.titleAbout nilalgebras satisfying (xy)2 = x 2 y 2
dc.typeartículo
dc.volumen49
sipa.codpersvinculados1101905
sipa.indexScopus
sipa.indexWOS
sipa.trazabilidadCarga SIPA;09-01-2024
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