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Need help proving L is a normal exension of F.

  1. Nov 26, 2011 #1
    for i = 1,...,r with E a finite extension of F and where the intermediate fields \begin{equation} K_i \end{equation}are each normal extensions of F for all i.

    L = \{f(a_1,....,a_r) : [f]\in{F[x]}, [a_i]\in[K_i]\}

    1) Prove that L is a subfield of E and contains \begin{equation} K_i \end{equation} for all i.

    2) Prove that L is a normal extension of F.

    I really need help with this. Thanks
  2. jcsd
  3. Nov 28, 2011 #2
    So, what did you try already?? (1) shouldn't be too difficult. It's just checking that something is a field...
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