Geodesic
On A. V. Mikhalev problem for weakly Artinian Lie algebras
Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 1, pp. 49-55 
A. N. Blagovisnaya; O. A. Pikhtilkova; S. A. Pikhtilkov. On A. V. Mikhalev problem for weakly Artinian Lie algebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 1, pp. 49-55. http://geodesic.mathdoc.fr/item/FPM_2016_21_1_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The A. V. Mikhalev problem for weakly Artinian Lie algebras is solved. The theorem about solvability of prime radical of weakly Artinian Lie algebras is proved. An analogous result was generalized for $\Omega$-groups.

[1] Balaba I. N, Mikhalev A. V., Pikhtilkov S. A., “Pervichnyi radikal graduirovannykh $\Omega$-grupp”, Fundament. i prikl. matem., 12:2 (2006), 159–174

[2] Kaplanskii I., Algebry Li i lokalno kompaktnye gruppy, Mir, M., 1974

[3] Mescherina E. V., Pikhtilkov S. A., Pikhtilkova O. A., “O probleme A. V. Mikhaleva dlya algebr Li”, Izv. Sarat. un-ta. Nov. ser. Ser. Matematika. Mekhanika. Informatika, 13:4/2 (2013), 84–89

[4] Pikhtilkov S. A., “Artinovye spetsialnye algebry Li”, Algoritmicheskie problemy teorii grupp i polugrupp, Izd-vo Tul. gos. ped. un-ta im. L. N. Tolstogo, Tula, 2001, 189–194

[5] Pikhtilkov S. A., Polyakov V. M., “O lokalno nilpotentnykh artinovykh algebrakh Li”, Chebyshevskii sb., 6:1 (2005), 163–169 | MR | Zbl