Center of a Lie ring
Definition
The center of a Lie ring , denoted , is defined as:
The center of a Lie ring is a subring, and, in fact, is an Abelian ideal in the Lie ring.
The center of a Lie ring 
![{\displaystyle Z(L)=\{x\in L\mid [x,y]=0\ \forall \ y\in L\}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/bc09390c366198663921259d1cffa418618d6dff)
The center of a Lie ring is a subring, and, in fact, is an Abelian ideal in the Lie ring.