surjectionA function f : A -> B is surjective or onto or a surjection if f A = B. I.e. f can return any value in B. This means that its {image} is its {codomain}. Only surjections have {right inverses}, f' : B -> A where f (f' x) = x since if f were not a surjection there would be elements of B for which f' was not defined. See also {bijection}, {injection}. (1995-05-27)