Meanings
- not comparablemathematicsOf, relating to, or being a surjection.
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.
2 more examples
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.
2010, Tullio Ceccherini-Silberstein, Michel Coornaert, Cellular Automata and Groups, Springer, page 133This 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 156Synonyms: onto
Synonyms & antonyms
adjectiveOf, relating to, or being a surjection.
Translations
Catalan suprajectiu
- suprajectiuof, relating, or being a surjection
Chinese Mandarin 满射的
- 满射的 (mǎnshède)of, relating, or being a surjection
Czech surjektivní
- surjektivníof, relating, or being a surjection
Danish surjektiv
- surjektivof, relating, or being a surjection
Dutch surjectief
- surjectiefof, relating, or being a surjection
Finnish surjektiivinen
- surjektiivinenof, relating, or being a surjection
French surjectif
- surjectifof, relating, or being a surjection
German surjektiv
- surjektivof, relating, or being a surjection
Irish barrtheilgeach
- barrtheilgeachof, relating, or being a surjection
Japanese 全射の
- 全射の (zenshano)of, relating, or being a surjection
Norwegian Bokmål surjektiv
- surjektivof, relating, or being a surjection
Norwegian Nynorsk surjektiv
- surjektivof, relating, or being a surjection
Polish suriektywny, na
- suriektywnyof, relating, or being a surjection
- naof, relating, or being a surjection
Portuguese sobrejetivo
- sobrejetivoof, relating, or being a surjection
Romanian surjectiv
- surjectivof, relating, or being a surjection
Russian сюръективный
- сюръективный (sjurʺjektivnyj)of, relating, or being a surjection
Spanish sobreyectivo
- sobreyectivoof, relating, or being a surjection
Swedish surjektiv
- surjektivof, relating, or being a surjection
Rhymes & wordplay
Rhymes with surjective
Cite this entry
surjective. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/surjective
“surjective.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/surjective. Accessed November 2, 2026.
WatkinsX Dictionary, s.v. “surjective,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/surjective.
Source: surjective on Wiktionary, CC BY-SA 4.0.