Results 1 to 3 of 3

Math Help - composition of relations

  1. #1
    Member
    Joined
    Mar 2009
    Posts
    90

    composition of relations

    Hello, I'm having problems undestanding an example. It's supposed to be simple, but I can't quite draw the conclusions.

    Let there be a Set, M and let there be Map(M, M) := \{f~|~ f: M \rightarrow M is a mapping \}. If f, g \in Map(M, M), so is f \circ g also in Map(M, M). And so is  \circ a composition of Map(M, M).

    My question is, what exactly is Map(M, M)? Is it the set Mx M? And are f and g therefore Map(f, f') and Map(g, g')? Because, in the set definition Map(M, M) := \{f~|~ f: M \rightarrow M\}, you have a mapping from M \rightarrow M?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Mar 2009
    Posts
    90
    Oh! This is about the image of a function?! And M is the domain, and codomain of the two functions f and g?! Still, if that's right, it's hard to understand from the example. So the example is saying that a composition exists for any two functions if they share the same domain and codomain.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Mar 2009
    Posts
    90
    I *think* that this example was a prelude to an introduction to matrixes.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. some statements on composition of relations
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: September 29th 2011, 06:20 AM
  2. Composition of Relations
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: September 27th 2010, 10:39 AM
  3. Composition of transitive relations
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: May 5th 2010, 05:41 PM
  4. Question on Composition of Two Relations
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: December 27th 2009, 07:17 AM
  5. Composition of relations
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: April 4th 2009, 01:08 PM

Search Tags


/mathhelpforum @mathhelpforum