FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2002, VOLUME 8, NUMBER 3, PAGES 769-782

On locally nilpotent radical of special Lie algebras

S. A. Pikhtilkov

Abstract

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The theory of locally nilpotent radical in special Lie algebras is constructed in the paper. For a field of characteristic zero is shown that the special Lie algebra which locally nilpotent radical is zero is a product of semiprime and Abelian algebras.

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Last modified: February 17, 2003