Rationally powered nilpotent Lie ring

Definition
A Lie ring is termed a rationally powered nilpotent Lie ring or Malcev Lie ring if it is satisfies both the following conditions:


 * 1) Its additive group is a rationally powered abelian group, i.e., it is the additive group of a vector space over $$\mathbb{Q}$$, the field of rational numbers. Another way of putting it is that the Lie ring is a $$\mathbb{Q}$$-Lie algebra.
 * 2) It is a nilpotent Lie ring.

Rationally powered nilpotent Lie rings occur as the objects on the "Lie ring" side of the Malcev correspondence.