A transformation which is one-to-one and a surjection (i.e., "onto").
Bijection
See also
Bijective, Domain, One-to-One, Permutation, Range, SurjectionExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Bijection." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Bijection.html