Self-centralizing ideal

Definition
A subring of a Lie ring is termed a self-centralizing ideal if it is both a self-centralizing Lie subring and an ideal of the Lie ring.

Stronger properties

 * Weaker than::Self-centralizing direct factor of a Lie ring

Weaker properties

 * Stronger than::Ideal of a Lie ring
 * Stronger than::Self-centralizing Lie subring