This article is cited 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

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.

UDC: 512.554.36

Received: 16.04.2015

DOI: 10.17377/smzh.2016.57.318

 English version: Siberian Mathematical Journal, 2016, 57:3, 549–551

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