Inner automorphism of a Lie ring

Definition

Suppose $L$ is a Lie ring. We call an automorphism $\sigma$ of $L$ an inner automorphism of $L$ if $\sigma =\exp(d)$ where $d$ is an inner derivation of $L$ (i.e., the adjoint action by some element) that is also an exponentiable derivation, so that its exponential is an automorphism.