2013, № 1 (150)

Kucherov A.A. ON ALMOST LOCALLY SOLVABLE ALGEBRAS WITH NULL JACOBSON RADICAL AND LOCALLY NILPOTENT RADICAL FOR ALGEBRASThe analog of the F. Kubo theorem for almost locally solvable special Lie algebras with null Jacobson radical is proved in the article. It is also shown, that for special algebras over a characteristic field zero the irreducible PI-presented radical coincides with the locally nilpotent. There is given an example the algebra which locally nilpotent radical is not neither locally nilpotent, nor locally solvable. Key words: Lie algebra, special Lie algebra, irreducible PI-representation, Jacobson radical, locally nilpotent radical, reductive Lie algebra, almost locally solvable algebra.

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About this article

Author: Kucherov A.A.

Year: 2013

Editor-in-chief

Sergey Aleksandrovich
MIROSHNIKOV

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