Lie ring in which every characteristic subring is derivation-invariant

Definition
A Lie ring in which every characteristic subring is derivation-invariant is a Lie ring in which every characteristic subring is a defining ingredient::derivation-invariant Lie subring.

Facts
Not every Lie ring has this property.

Stronger properties

 * Odd-order abelian Lie ring:

Weaker properties

 * Stronger than::Lie ring in which every characteristic subring is an ideal

Opposite properties

 * Lie ring in which every derivation-invariant subring is characteristic