COMMUTATIVE FINITE-DIMENSIONAL ALGEBRAS SATISFYING x(x(xy))=0 ARE NILPOTENT

dc.creatorFERNANDEZ, Juan C. Gutierrez
dc.date.accessioned2012-10-20T04:50:22Z
dc.date.accessioned2018-07-04T15:46:44Z
dc.date.available2012-10-20T04:50:22Z
dc.date.available2018-07-04T15:46:44Z
dc.date.created2012-10-20T04:50:22Z
dc.date.issued2009
dc.identifierCOMMUNICATIONS IN ALGEBRA, v.37, n.10, p.3760-3776, 2009
dc.identifier0092-7872
dc.identifierhttp://producao.usp.br/handle/BDPI/30607
dc.identifier10.1080/00927870802502944
dc.identifierhttp://dx.doi.org/10.1080/00927870802502944
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1627246
dc.description.abstractWe investigate the structure of commutative non-associative algebras satisfying the identity x(x(xy)) = 0. Recently, Correa and Hentzel proved that every commutative algebra satisfying above identity over a field of characteristic not equal 2 is solvable. We prove that every commutative finite-dimensional algebra u over a field F of characteristic not equal 2, 3 which satisfies the identity x(x(xy)) = 0 is nilpotent. Furthermore, we obtain new identities and properties for this class of algebras.
dc.languageeng
dc.publisherTAYLOR & FRANCIS INC
dc.relationCommunications in Algebra
dc.rightsCopyright TAYLOR & FRANCIS INC
dc.rightsrestrictedAccess
dc.subjectCommutative
dc.subjectNilalgebra
dc.subjectSolvable
dc.titleCOMMUTATIVE FINITE-DIMENSIONAL ALGEBRAS SATISFYING x(x(xy))=0 ARE NILPOTENT
dc.typeArtículos de revistas


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