%0 Journal Article
%T On dimension of Lie Algebras and nilpotent Lie algebras
%J Mathematics and Computational Sciences
%I Qom University of Technology
%Z 2717-2708
%A Arabyani, Homayoon
%D 2022
%\ 02/01/2022
%V 3
%N 1
%P 33-36
%! On dimension of Lie Algebras and nilpotent Lie algebras
%K Nilpotent Lie algebra
%K Derived subalgebra
%K Frattini subalgebra
%R 10.30511/mcs.2022.543524.1051
%X Schur proved that if the center of a group G has finite index, then the derived subgroup G′ is also finite. Moneyhun proved that if L is a Lie algebra such that dim(L/Z(L)) = n, then dim(L^2) ≤1/2n(n-1) In this paper, we extend the converse of Moneyhun’s theorem. Also, we prove a wellknown result of nilpotent Lie algebras by using a different technique
%U http://mcs.qut.ac.ir/article_249003_5a5b75d9c59ab2da1f32a9096c5cf336.pdf