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The Collaborative International Dictionary of English v.0.48:

Onto \On"to\, prep. [On + to. Cf. Into.] On the top of; upon; on. See On to, under On, prep. [1913 Webster] Ontogenesis
The Free On-line Dictionary of Computing (30 December 2018):

surjection onto surjective A 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)