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词汇 surjection
释义

Definition of surjection in English:

surjection

noun səːˈdʒɛkʃ(ə)n
Mathematics

  • An onto mapping.

    〔数〕满射

    See onto
    Example sentencesExamples
    • We show that nonexistence theorems for continuous surjections between continua and related results extend to almost continuous functions.
    • There is a natural duality between proper surjections and proper injections and between the M and the N forms.
    • The function s is not a surjection because it never takes on an odd value.

Derivatives

  • surjective

    • adjectivesəːˈdʒɛktɪv
    Mathematics
    • We prove that every finite, simple, surjective algebra having no proper subalgebras is either quasiprimal or affine or isomorphic to an algebra term equivalent to a matrix power of a unary permutational algebra.

Origin

1960s: from sur-1, after injection.
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