“…In studies of Pikhtilkov [2], proved that the prime radical of special weakly artinian Lie algebra is solvable. It was shown in literature of Sergey [3], that prime radical of weakly artinian locally nilpotent Lie algebras is solvable.…”
Section: Definitionmentioning
confidence: 99%
“…It was proved in literature of Pikhtilkov [3], that the prime radical of the locally nilpotent weakly artinian Lie algebra is solvable.…”
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 Ω-group".
“…In studies of Pikhtilkov [2], proved that the prime radical of special weakly artinian Lie algebra is solvable. It was shown in literature of Sergey [3], that prime radical of weakly artinian locally nilpotent Lie algebras is solvable.…”
Section: Definitionmentioning
confidence: 99%
“…It was proved in literature of Pikhtilkov [3], that the prime radical of the locally nilpotent weakly artinian Lie algebra is solvable.…”
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 Ω-group".
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