Definition:Identity Automorphism

Definition
Let $\struct {R, +, \circ}$ be a ring.

Consider the identity mapping $I_R: R \to R$:
 * $\forall r \in R: \map {I_R} r = r$

Then $I_R$ is the identity automorphism on $R$.

Also see

 * Identity Mapping is Ring Automorphism