Cocentral Lie subring

Definition
A subring $$A$$ of a Lie ring $$L$$ is termed a cocentral Lie subring if $$A + Z(L) = L$$, where $$Z(L)$$ is the center of $$L$$.

Weaker properties

 * Stronger than::Central factor of a Lie ring
 * Stronger than::Ideal of a Lie ring