FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 3, PAGES 643-648

The prime radical of the special Lie algebras

K. I. Beidar
S. A. Pikhtilkov

Abstract

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The theory of prime radical in generalized special Lie algebras is constructed in the paper. It is shown, that the prime radical is locally solvable. For a field of characteristic zero it is shown that the radical is characteristical and satisfies IDS-property.

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