surjection
/səːˈdʒɛkʃ(ə)n
/noun Mathematics
An onto mapping (see onto).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.
Derivatives
surjective
- 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.
Origin
1960s: from sur-1, after injection.
- in that case
- in that event
- in the abstract
- in the act of
- in the affirmative
- in (the) aggregate
- in the air
- in the altogether
- in the ascendant
- in the bag
- in the balance
- in the belief that
- in the blink of an eye (or in a blink)
- in the box seat
- in the buff
- in the business of
- in the cactus
- in the can
- in the cart
- in the catbird seat
- in the cause of
- in the clear
- in the clouds
- in the club (or the pudding club)
- in the clutch