On A.~V.~Mikhalev problem for weakly Artinian Lie algebras
Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 1, pp. 49-55
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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.
@article{FPM_2016_21_1_a3,
author = {A. N. Blagovisnaya and O. A. Pikhtilkova and S. A. Pikhtilkov},
title = {On {A.~V.~Mikhalev} problem for weakly {Artinian} {Lie} algebras},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {49--55},
publisher = {mathdoc},
volume = {21},
number = {1},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2016_21_1_a3/}
}
TY - JOUR AU - A. N. Blagovisnaya AU - O. A. Pikhtilkova AU - S. A. Pikhtilkov TI - On A.~V.~Mikhalev problem for weakly Artinian Lie algebras JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 2016 SP - 49 EP - 55 VL - 21 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FPM_2016_21_1_a3/ LA - ru ID - FPM_2016_21_1_a3 ER -
%0 Journal Article %A A. N. Blagovisnaya %A O. A. Pikhtilkova %A S. A. Pikhtilkov %T On A.~V.~Mikhalev problem for weakly Artinian Lie algebras %J Fundamentalʹnaâ i prikladnaâ matematika %D 2016 %P 49-55 %V 21 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/FPM_2016_21_1_a3/ %G ru %F FPM_2016_21_1_a3
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/