Lie ring in which every characteristic subring is an ideal

Definition
A Lie ring in which every characteristic subring is an ideal is a Lie ring in which every characteristic subring is an ideal.

Stronger properties

 * Weaker than::abelian Lie ring
 * Weaker than::Lie ring in which every subring is an ideal
 * Weaker than::Lie ring in which every characteristic subring is derivation-invariant