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Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 3, Pages 697–699
DOI: https://doi.org/10.17377/smzh.2016.57.318 (Mi smj2776) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Local solvability of the prime radical of a weakly artinian Lie algebra

O. A. Pikhtilkova, S. A. Pikhtilkov

Orenburg State University, Orenburg, Russia
Full-text PDF (319 kB) Citations (2)
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DOI: https://doi.org/10.17377/smzh.2016.57.318
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 $\Omega$-groups with finiteness condition.
Keywords: weakly artinian Lie algebra, locally solvable Lie algebra, prime radical.
Received: 16.04.2015
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 3, Pages 549–551
DOI: https://doi.org/10.1134/S0037446616030186
Bibliographic databases:
Document Type: Article
UDC: 512.554.36
Language: Russian
Citation: O. A. Pikhtilkova, S. A. Pikhtilkov, “Local solvability of the prime radical of a weakly artinian Lie algebra”, Sibirsk. Mat. Zh., 57:3 (2016), 697–699; Siberian Math. J., 57:3 (2016), 549–551
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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