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surjection

Line breaks: sur|jec¦tion
Pronunciation: /səːˈdʒɛkʃ(ə)n
 
/

Definition of surjection in English:

noun

Mathematics
An onto mapping (see onto).
Example sentences
  • There is a natural duality between proper surjections and proper injections and between the M and the N forms.
  • We show that nonexistence theorems for continuous surjections between continua and related results extend to almost continuous functions.
  • The function s is not a surjection because it never takes on an odd value.

Origin

1960s: from sur-1, after injection.

Derivatives

surjective

1
adjective
Example sentences
  • We prove that every finite, simple, surjective algebra having no proper subalgebras is either quasiprimal or affine or isomorphic to an algebra term equivalent to a matrix power of a unary permutational algebra.

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