FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2008, VOLUME 14, NUMBER 7, PAGES 137-143

**Prime and semiprime lattice ordered Lie algebras**

J. V. Kochetova

Abstract

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The concepts of prime Lie algebras and semiprime Lie algebras are
important in the study of Lie algebras.
The purpose of this paper is to investigate generalizations of these
concepts to lattice ordered Lie algebras over partially ordered
fields.
Some results concerning the properties of $l$-prime and $l$-semiprime lattice ordered
Lie algebras are obtained.
A necessary and sufficient condition for a lattice ordered
Lie algebra to be an $l$-prime Lie $l$-algebra is presented.

Location: http://mech.math.msu.su/~fpm/eng/k08/k087/k08711h.htm

Last modified: June 25, 2009