Word.ws English Dictionary

surjection

/sɜː(ɹ)ˈd͡ʒɛk.ʃən/

surjection noun: a function for which every element of the codomain is mapped to by some element of the domain; (formally) Any function f:X→Y for which for every y∈Y, there is at least one x∈X such that f(x)=y.

surjection: a function for which every element of the codomain is mapped to by some element of the domain;...
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Noun

surjection (plural surjections)

  1. A function for which every element of the codomain is mapped to by some element of the domain; (formally) Any function f:X→Y for which for every y∈Y, there is at least one x∈X such that f(x)=y.
    • In some special cases, however, the number of surjections A#92;rightarrowB can be identified.1992, Rowan Garnier, John Taylor, Discrete Mathematics for New Technology, Institute of Physics Publishing, page 220
    • Let J#61;#92;cap#95;im#95;i be the (irredundant) primary decomposition of J. We associate to the pair (J,#92;omega) the element #92;textstyle#92;sum#95;i(m#95;i,#92;omega#95;i)#92;inG, where #92;omega#95;i is the equivalence class of surjections from L#47;m#95;iL#92;oplus(A#47;m#95;i)#123;n-1#125...1999, M. Pavaman Murthy, “A survey of obstruction theory for projective modules of top rank”, in Tsit-Yuen Lam, Andy R. Magid, editors, Algebra, K-theory, Groups, and Education: On the Occasion of...

surjection meaning in Vietnamese

surjection in Vietnamese

function that is a many-to-one mapping
toàn ánh

Synonyms of surjection

Forms of surjection

pluralsurjections

Origin of surjection

From French surjection, introduced by the Bourbaki group in their treatise Éléments de mathématique. Ultimately borrowed from Latin superiectiō (“a throwing over or on; (fig.) an exaggeration, a hyperbole”).

Questions about surjection

What does surjection mean?
Surjection means a function for which every element of the codomain is mapped to by some element of the domain; (formally) Any function f:X→Y for which for every y∈Y, there is at least one x∈X such that f(x)=y.
What is surjection in Vietnamese?
Surjection in Vietnamese is toàn ánh. See Surjection meaning in Vietnamese.
What part of speech is surjection?
Surjection is a noun.
How do you pronounce surjection?
Surjection is pronounced /sɜː(ɹ)ˈd͡ʒɛk.ʃən/.
What is the plural of surjection?
The plural of surjection is surjections.

Words near surjection in the dictionary

  1. suritozole
  2. Surjapuri
  3. surject
  4. surjected
  5. surjecting
  6. surjection
  7. surjections
  8. surjective
  9. surjective function
  10. surjective functions
  11. surjectively

Source and license

Adapted from Wiktionary: surjection (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.

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