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Homework Help: What is F[a] ?

  1. Nov 23, 2008 #1
    What is F[a]?

    I'm having a hard time with notation. If F[x] is the set of polynomials in x, then what is:

    F[a]?

    How is it different from F[a,b]?


    And help would be great?
     
  2. jcsd
  3. Nov 23, 2008 #2

    Hurkyl

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    Re: What is F[a]?


    The very pleasant thing is that F[a,b] really is isomorphic to F[a], just like we want it to be!
     
  4. Nov 23, 2008 #3
    Re: What is F[a]?



    Great! But what the heck are they? :tongue2:
     
  5. Nov 23, 2008 #4

    Hurkyl

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    Re: What is F[a]?

    F[a] is the set of polynomials in b whose coefficients are elements of F[a]
    F[a,b] is the set of bivariate polynomials in a and b whose coefficients are elements of F
     
  6. Nov 23, 2008 #5
    Re: What is F[a]?



    Oh that makes sense-- it's sort of recursive... OK. God my book is so muddled and just starts talking about F[a] out of the blue like it's clear what that would mean.

    Thank you so much no I can keep studying!

    :rolleyes:
     
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