Geodesic
On the A.\,V.~Mikhalev's problem for Lie algebras
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 4, pp. 84-89

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Weakened A. V. Mikhalev' sproblem about the prime radical of artinian Lie algebras is solved. 
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E. V. Mescherina; O. A. Pikhtilkova; S. A. Pikhtilkov. On the A.\,V.~Mikhalev's problem for Lie algebras. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 4, pp. 84-89. http://geodesic.mathdoc.fr/item/ISU_2013_13_4_a13/