Nilpotent ideal

Definition
An subring of a Lie ring is termed a nilpotent ideal if it satisfies the following two conditions: it is an ideal of the Lie ring and is nilpotent as a Lie ring.

Stronger properties

 * Weaker than::Cyclic ideal
 * Weaker than::Abelian ideal

Weaker properties

 * Stronger than::Solvable ideal