%0 Journal Article
%T On dimensions of derived algebra and central factor of a Lie algebra
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Arabyani, H.
%A Saeedi, F.
%D 2015
%\ 10/01/2015
%V 41
%N 5
%P 1093-1102
%! On dimensions of derived algebra and central factor of a Lie algebra
%K Capable Lie algebra
%K minimal generator
%K derived algebra
%K central factor
%R
%X Some Lie algebra analogues of Schur's theorem and its converses are presented. As a result, it is shown that for a capable Lie algebra L we always have dim L=Z(L) 2(dim(L2))2. We also give give some examples sup- porting our results.
%U http://bims.iranjournals.ir/article_676_3da7c8c3cba5c1fff10c3774678d395f.pdf