University of Guilan Journal of Algebra and Related Topics 2345-3931 11 2 2023 12 01 Some results on nilpotent Lie algebras 99 103 6944 10.22124/jart.2023.20665.1322 EN S. S. Gashti Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran Journal Article 2021 09 21 Let $L$ be a finite dimensional Lie algebra over an arbitrary field $F$. In this paper, we prove that the class of finite nilpotent(solvable) Lie algebras is an example of formation. <br />Furthermore, we conclude that every finite Lie algebra has a nilpotent(solvable) residual. Finally we prove some results on Frattini and Fitting subalgebras of the nilpotent Lie algebra $L$. https://jart.guilan.ac.ir/article_6944_02504376f09ddb119aa69febb8c6c7a1.pdf