noun Mathematics.

1960–65; sur-1 + -jection, as in injection, projection, etc. Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
surjection (sɜːˈdʒɛkʃən)
injection See also bijection a mathematical function or mapping for which every element of the image space is a value for some members of the domain
[C20: from sur-1 + -jection, on the model of projection]

Collins English Dictionary - Complete & Unabridged 10th Edition
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American Heritage
Science Dictionary
surjection  [%PREMIUM_LINK%]     (sər-jěk'shən)  Pronunciation Key 
A function such that each member of its range is mapped onto by a member of the domain. Compare bijection, injection.

The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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Computing Dictionary

surjection definition

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.
The Free On-line Dictionary of Computing, © Denis Howe 2010
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