surjective

Definition from Wiktionary, the free dictionary
Jump to: navigation, search

English[edit]

Pronunciation[edit]

Adjective[edit]

surjective (not comparable)

  1. (mathematics) Of, relating to, or being a surjection.
    • 1974, Thomas W. Hungerford, Algebra, Springer, page 5,
      A function is surjective (or onto) provided ; in other words,
      for each for some .
      A function is said to be bijective (or a bijection or a one-to-one correspondence) if it is both injective and surjective.
    • 2010, Tullio Ceccherini-Silberstein, Michel Coornaert, Cellular Automata and Groups, Springer, page 133,
      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 .
    • 2011, Ethan D. Bloch, Proofs and Fundamentals: A First Course in Abstract Mathematics, Springer, 2nd Edition, page 156,
      This function is surjective and injective, and hence bijective.

Synonyms[edit]

Derived terms[edit]

Related terms[edit]

Translations[edit]

See also[edit]


French[edit]

Adjective[edit]

surjective

  1. feminine of surjectif