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

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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.

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Authors and Affiliations

  1. Orenburg State University, Orenburg, Russia

    O. A. Pikhtilkova & S. A. Pikhtilkov

Authors
  1. O. A. Pikhtilkova
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  2. S. A. Pikhtilkov
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Correspondence to O. A. Pikhtilkova.

Additional information

Orenburg. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 57, No. 3, pp. 697–699, May–June, 2016; DOI: 10.17377/smzh.2016.57.318.

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Pikhtilkova, O.A., Pikhtilkov, S.A. Local solvability of the prime radical of a weakly artinian Lie algebra. Sib Math J 57, 549–551 (2016). https://doi.org/10.1134/S0037446616030186

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  • DOI: https://doi.org/10.1134/S0037446616030186

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