Email this article Local solvability of the prime radical of a weakly artinian Lie algebra
- Authors: Pikhtilkova O.A.1, Pikhtilkov S.A.1
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Affiliations:
- Orenburg State University
- Issue: Vol 57, No 3 (2016)
- Pages: 549-551
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170546
- DOI: https://doi.org/10.1134/S0037446616030186
- ID: 170546
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Abstract
We prove the local solvability of the prime radical of a Lie algebra with descending chain condition for the ideals. We note that an analog of this statement holds also for the graded Ω-groups with finiteness condition.
About the authors
O. A. Pikhtilkova
Orenburg State University
Author for correspondence.
Email: OPikhtilkova@mail.ru
Russian Federation, Orenburg
S. A. Pikhtilkov
Orenburg State University
Email: OPikhtilkova@mail.ru
Russian Federation, Orenburg
