Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 3, pp. 643-648
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K. I. Beidar; S. A. Pikhtilkov. The prime radical of the special Lie algebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 3, pp. 643-648. http://geodesic.mathdoc.fr/item/FPM_2000_6_3_a1/
@article{FPM_2000_6_3_a1,
author = {K. I. Beidar and S. A. Pikhtilkov},
title = {The prime radical of the special {Lie} algebras},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {643--648},
year = {2000},
volume = {6},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_3_a1/}
}
TY - JOUR
AU - K. I. Beidar
AU - S. A. Pikhtilkov
TI - The prime radical of the special Lie algebras
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2000
SP - 643
EP - 648
VL - 6
IS - 3
UR - http://geodesic.mathdoc.fr/item/FPM_2000_6_3_a1/
LA - ru
ID - FPM_2000_6_3_a1
ER -
%0 Journal Article
%A K. I. Beidar
%A S. A. Pikhtilkov
%T The prime radical of the special Lie algebras
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2000
%P 643-648
%V 6
%N 3
%U http://geodesic.mathdoc.fr/item/FPM_2000_6_3_a1/
%G ru
%F FPM_2000_6_3_a1
The theory of prime radical in generalized special Lie algebras is constructed in the paper. It is shown, that the prime radical is locally solvable. For a field of characteristic zero it is shown that the radical is characteristical and satisfies IDS-property.
