Geodesic
Prime radicals of graded $\Omega$-groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 2, pp. 159-174

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, we introduce the class of graded $\Omega$-groups, which includes: groups; associative, conformal and vertex algebras; Lie algebras and graded algebras. The graded prime radical of a graded $\Omega$-group is defined, and its elementwise characterization is given. It is shown that the graded prime radical of a graded $\Omega$-groups with a finiteness condition coincides with the lower weakly solvable (in Parfyonov sense) radical. 
@article{FPM_2006_12_2_a10,
     author = {A. V. Mikhalev and I. N. Balaba and S. A. Pikhtilkov},
     title = {Prime radicals of graded $\Omega$-groups},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {159--174},
     publisher = {mathdoc},
     volume = {12},
     number = {2},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2006_12_2_a10/}
}
TY  - JOUR
AU  - A. V. Mikhalev
AU  - I. N. Balaba
AU  - S. A. Pikhtilkov
TI  - Prime radicals of graded $\Omega$-groups
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2006
SP  - 159
EP  - 174
VL  - 12
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_2006_12_2_a10/
LA  - ru
ID  - FPM_2006_12_2_a10
ER  - 
%0 Journal Article
%A A. V. Mikhalev
%A I. N. Balaba
%A S. A. Pikhtilkov
%T Prime radicals of graded $\Omega$-groups
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2006
%P 159-174
%V 12
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_2006_12_2_a10/
%G ru
%F FPM_2006_12_2_a10
A. V. Mikhalev; I. N. Balaba; S. A. Pikhtilkov. Prime radicals of graded $\Omega$-groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 2, pp. 159-174. http://geodesic.mathdoc.fr/item/FPM_2006_12_2_a10/