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A term for a function from X to X?

  1. Mar 28, 2005 #1

    honestrosewater

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    Is there a term for a function from a set to itself? It would be handy.
     
  2. jcsd
  3. Mar 28, 2005 #2
  4. Mar 28, 2005 #3

    dextercioby

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    If the mapping is linear,the application is called linear endomorphism...I'm sure a college student is fed up with these in the linear algebra course.I was...

    Daniel.
     
  5. Mar 28, 2005 #4

    honestrosewater

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    Yeah, I like self-map better :) So you say F is a self-map of X not on X, right?
     
  6. Mar 28, 2005 #5

    dextercioby

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    On is the appropriate preposition.

    Daniel.
     
  7. Mar 28, 2005 #6

    honestrosewater

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    I had a feeling you would know. :smile:
     
  8. Mar 28, 2005 #7

    dextercioby

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    This is terminology,though,it can vary from one source to another.I told u what i've been taught...

    Daniel.
     
  9. Mar 28, 2005 #8

    HallsofIvy

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    "automorphism" is, generally, a function from A to A that "preserves" whatever algebraic structure A has.
     
  10. Apr 1, 2005 #9

    Galileo

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    I've learned that that's an endomorphism. An automorphism is an bijective endomorphism.
     
  11. Apr 1, 2005 #10

    HallsofIvy

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    Oops, you're right. Thanks.
     
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