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The Quarterly Journal of Mathematics Advance Access published online on April 9, 2008
The Quarterly Journal of Mathematics, doi:10.1093/qmath/han004
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© 2008. Published by Oxford University Press. All rights reserved. For permissions, please email: journals.permissions@oxfordjournals.org

THE IDENTITIES OF A LIE ALGEBRA VIEWED AS A LIE RING

Alexei Krasilnikov{dagger}

Department of Mathematics, University of Brasilia, 70910-900 Brasilia, DF, Brazil

{dagger} E-mail: alexei{at}unb.br

Received 16 November 2007;
  Abstract

Let G be a Lie algebra over the field Q of rationals. Then G can be viewed as a Lie ring as well. If the identities of the Lie ring G have a finite basis then so have the identities of the Lie algebra G. We give an example which shows that the converse is not always true.


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