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

Sources

• 1964: Iain T. Adamson: Introduction to Field Theory ... (previous) ... (next): Chapter $\text {I}$: Elementary Definitions: $\S 3$. Homomorphisms: Example $2$