On the A. V. Mikhalev Problem for Weakly Artinian Lie Algebras


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Abstract

The A. V. Mikhalev problem for weakly Artinian Lie algebras is solved. The theorem about solvability of prime radical of weakly Artinian Lie algebras is proved. An analogous result was generalized for Ω-groups.

About the authors

A. N. Blagovisnaya

Orenburg State University

Author for correspondence.
Email: matmet@bk.ru
Russian Federation, Orenburg

O. A. Pikhtilkova

Orenburg State University

Email: matmet@bk.ru
Russian Federation, Orenburg

S. A. Pikhtilkov

Orenburg State University

Email: matmet@bk.ru
Russian Federation, Orenburg

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