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Let $S$ be a set.
A self-map on $S$ is a mapping from $S$ to itself:
- $f: S \to S$
Also known as
Some sources refer to a self-map as a transformation.
- 1951: Nathan Jacobson: Lectures in Abstract Algebra: I. Basic Concepts ... (previous) ... (next): Introduction $\S 2$: Product sets, mappings