Abstract:

The main purpose of the present paper is to give some properties for subideals of Jordan Lie algebras. Every perfect subideal of Jordan Lie algebras is its ideal and solvable subideals are contained in its solvable radical. Moreover, every subalgebra of nilpotent Jordan Lie algebras is its subideal and some necessary conditions under which subideals become ideals for
Jordan Lie algebras have been obtained.

Key words: Jordan Lie algebras, Engel’s theorem, subideals, ideals