@article {
author = {Arabyani, H. and Saeedi, F.},
title = {On dimensions of derived algebra and central factor of a Lie algebra},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {41},
number = {5},
pages = {1093-1102},
year = {2015},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {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.},
keywords = {Capable Lie algebra,minimal generator,derived algebra,central factor},
url = {http://bims.iranjournals.ir/article_676.html},
eprint = {http://bims.iranjournals.ir/article_676_3da7c8c3cba5c1fff10c3774678d395f.pdf}
}