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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive
Fundam. Prikl. Mat., 2016 Volume 21, Issue 1, Pages 49–55 (Mi fpm1700)
On A. V. Mikhalev problem for weakly Artinian Lie algebras

A. N. Blagovisnaya, O. A. Pikhtilkova, S. A. Pikhtilkov

Orenburg State University

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 $\Omega$-groups.

UDC: 512.554.36


 English version: Journal of Mathematical Sciences (New York), 2018, 233:5, 635–639

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© Steklov Math. Inst. of RAS, 2024