Qom University of TechnologyMathematics and Computational Sciences2717-27083120220201On dimension of Lie Algebras and nilpotent Lie algebras333624900310.30511/mcs.2022.543524.1051ENHomayoonArabyaniDepartment of mathematics, Islamic Azad university, Neyshabour branch, Mashhad, IranJournal Article20211123Schur 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<br />. Also, we prove a wellknown result of nilpotent Lie algebras by using a different techniquehttp://mcs.qut.ac.ir/article_249003_5a5b75d9c59ab2da1f32a9096c5cf336.pdf