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  • #REDIRECT [[Surjective function]]
    33 bytes (3 words) - 14:37, 12 November 2008
  • In [[mathematics]], a '''surjective function''' or '''onto function''' or '''surjection''' is a [[function (mathematics) An surjective function ''f'' has an inverse <math>f^{-1}</math> (this requires us to assume the [[
    710 bytes (120 words) - 13:08, 13 November 2008
  • ...s no non-trivial [[ideal]]s. An [[endomorphism]] of a field need not be [[surjective function|surjective]], however. An example is the Frobenius map applied to the [[ra
    1 KB (170 words) - 12:00, 19 August 2024
  • * [[Surjective function]][[Category:Suggestion Bot Tag]]
    925 bytes (152 words) - 12:00, 1 September 2024
  • ...te if and only if, for any function ''f'' from ''X'' to itself, ''f'' is [[surjective function|surjective]] if and only if ''f'' is [[injective function|injective]].[[Cat
    1 KB (226 words) - 12:01, 16 August 2024
  • ...a bijective function (i.e., it is [[injective function|one-to-one]] and [[surjective function|onto]])
    2 KB (269 words) - 17:01, 28 August 2024
  • | pagename = Surjective function | abc = Surjective function
    2 KB (229 words) - 13:09, 13 November 2008
  • {{r|Surjective function}}
    1 KB (171 words) - 12:01, 18 July 2024
  • {{r|Surjective function}}
    1 KB (166 words) - 12:00, 1 September 2024
  • {{r|Surjective function}}
    1 KB (190 words) - 12:01, 19 August 2024
  • is exact asserts that ''f'' is [[surjective function|surjective]]. We see this by noting that the only possible map ''j'' to th
    3 KB (475 words) - 12:01, 14 August 2024
  • Let <math>(X,\mathcal T)</math> be a topological space, and ''q'' a [[surjective function]] from ''X'' onto a set ''Y''. The quotient topology on ''Y'' has as open
    1 KB (167 words) - 17:20, 6 February 2009
  • ...s no non-trivial [[ideal]]s. An [[endomorphism]] of a field need not be [[surjective function|surjective]], however. An example is the Frobenius map <math>\Phi: x \maps
    3 KB (422 words) - 07:01, 16 August 2024
  • ...ath> and the map <math>y \mapsto T_y</math> is a homomorphism from ''G'' [[surjective function|onto]] <math>Inn(G)</math>. The [[kernel of a homomorphism|kernel]] of thi
    2 KB (298 words) - 07:01, 1 August 2024
  • ...is a bijection iff it is both an [[injective function|injection]] and a [[surjective function|surjection]].
    4 KB (622 words) - 12:01, 18 July 2024
  • ...<math>n_1n_2</math>. So if the map ''f'' is injective, it must also be [[surjective function|surjective]]: that is, for every possible pair <math>(x_1 \bmod n_1,x_2 \bm
    3 KB (539 words) - 07:00, 28 July 2024
  • {{rpl|Surjective function}}
    5 KB (628 words) - 04:35, 22 November 2023
  • ...n|injective]], and in the case of [[finite field]]s it is therefore also [[surjective function|surjective]] (it is the [[Frobenius automorphism]]).
    10 KB (1,580 words) - 08:52, 4 March 2009
  • * A [[surjective function]] ''f'' has the property that for every ''y'' in the codomain there exists
    15 KB (2,346 words) - 12:01, 19 August 2024
  • ...apping {{nowrap|''f : A&rarr;B''}} satisfies ''f(A) = B'', then ''f'' is [[surjective function |''surjective'']]; we say ''f'' maps ''A'' '''''onto''''' ''B'', and the im
    17 KB (2,828 words) - 10:37, 24 July 2011
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