surjective
UK/səˈd͡ʒɛktɪv/US/sɚˈd͡ʒɛktɪv/
surjective adjective: of, relating to, or being a surjection.
Adjective
surjective (not comparable)
- Of, relating to, or being a surjection.
- 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.1974, Thomas W. Hungerford, Algebra, Springer, page 5 - 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...2010, Tullio Ceccherini-Silberstein, Michel Coornaert, Cellular Automata and Groups, Springer, page 133
- Synonyms:
- onto
- A function f is surjective (or onto) provided f(A)=B; in other words,
Examples of surjective in a sentence
- 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.2010, Tullio Ceccherini-Silberstein, Michel Coornaert, Cellular Automata and Groups, Springer, page 133:
- This function is surjective and injective, and hence bijective.2011, Ethan D. Bloch, Proofs and Fundamentals: A First Course in Abstract Mathematics, 2nd edition, Springer, page 156:
Synonyms of surjective
Words formed from surjective
- nonsurjective
- surjective function
- surjectively
- surjective map
Phrases with surjective
Words that rhyme with surjective
- projective
- subjective
- effective
- objective
- prospective
- reflective
- collective
- connective
- defective
- directive
- respective
- selective
28 more rhymesFewer rhymes
- injective
- detective
- elective
- irrespective
- perfective
- retrospective
- affective
- bijective
- corrective
- erective
- ineffective
- inflective
- intellective
- intersubjective
- protective
- refective
- advective
- convective
- deflective
- ejective
- imperfective
- infective
- inspective
- introspective
- overprotective
- rejective
- unreflective
- unselective
Questions about surjective
- What does surjective mean?
- Surjective means of, relating to, or being a surjection.
- How do you use surjective in a sentence?
- 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.
- What part of speech is surjective?
- Surjective is an adjective.
- How do you pronounce surjective?
- Surjective is pronounced /səˈd͡ʒɛktɪv/ (UK).
Words near surjective in the dictionary
Source and license
Adapted from Wiktionary: surjective (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
Last updated:
Cite this entry: “surjective.” Word.ws, https://word.ws/surjective. Based on Wiktionary, CC BY-SA 4.0.