FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2008, VOLUME 14, NUMBER 8, PAGES 137-149

**On the lower weakly solvable $l$-radical of
lattice ordered Lie algebras**

J. V. Kochetova

Abstract

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The concept of the lower weakly solvable radical of Lie algebras is
important in the study of Lie algebras.
The purpose of this paper is to investigate the generalization of this
concept to lattice ordered Lie algebras over partially ordered fields.
Some results concerning properties of the lower weakly solvable
$l$-radical of
lattice ordered Lie algebras are obtained.
Necessary and sufficient conditions for the $l$-prime radical of
a Lie $l$-algebra to be equal to
the lower weakly solvable $l$-radical of the Lie
$l$-algebra are
presented.

Location: http://mech.math.msu.su/~fpm/eng/k08/k088/k08808h.htm

Last modified: October 18, 2009