Surjective
Definition, Meaning & Examples
Pronunciation /səˈd͡ʒɛktɪv/ · Part of speech adjective
Quick meaning: Surjective is an adjective meaning (mathematics) Of, relating to, or being a surjection.
Meaning
(mathematics) Of, relating to, or being a surjection.
Example Sentences
This function is surjective and injective, and hence bijective.
1974, Thomas W. Hungerford, Algebra, Springer, page 5, A function f is surjective (or onto) provided f(A)=B; in other words, for each b∈B,b=f(a) for some a∈A. A function f is said to be bijective (or a bijection or a one-to-one correspondence) if it is both injective and surjective.
The Garden of Eden Theorem (Theorem 5.3.1) implies that every surjective cellular automaton with finite alphabet over an amenable group is necessarily pre-injective. In this section, we give an example of a surjective but not pre-injective cellular automaton with finite alphabet over the free group #92;textstyleF#95;2.
Synonyms for surjective
Depending on context, synonyms include onto.
Related Words
Related dictionary entries include homomorphism, surjunctive, bijective, flabby, injective, subsymmetrical.
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Sources & Attribution
FreeDictionaryAPI.com / Wiktionary · Original source · CC BY-SA 4.0
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