Definition:Self-Map

Definition

A self-map is a mapping whose domain is equal to its codomain:

$\Dom f = \Cdm f$

Also known as

Some sources refer to a self-map as a transformation.

Also see

• 1951: Nathan Jacobson: Lectures in Abstract Algebra: Volume $\text { I }$: Basic Concepts ... (previous) ... (next): Introduction $\S 2$: Product sets, mappings

• Weisstein, Eric W. "Self-Map." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Self-Map.html