First we discuss the background of the issue to Lie algebras. We also show the relationship of our problem and A.V. Mikhalev’s problem. The main result is proved for Lie algebras. We then consider the $\Omega $-group".
"A Prime Radical of Weakly Artinian Ω-Groups with Finite Condition is Locally Nilpotent." J. Gen. Lie Theory Appl. 9 (2) 1 - 2, 2015. https://doi.org/10.4172/1736-4337.1000237