Definition:Monoid Automorphism

Definition

Let $\struct {S, \circ}$ be a monoid.

Let $\phi: S \to S$ be a (monoid) isomorphism from $S$ to itself.

Then $\phi$ is a monoid automorphism.

Also see

• Definition:Automorphism (Abstract Algebra)

Sources

• 1982: P.M. Cohn: Algebra Volume 1 (2nd ed.) ... (previous) ... (next): $\S 3.1$: Monoids