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Thread: maximal ideals

  1. November 11th 2008, 08:14 PM #1
    morganfor
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    maximal ideals

    How do you prove that the ideal <x> in Q[x] is maximal?

    Thanks!
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  2. November 13th 2008, 07:31 PM #2
    ThePerfectHacker
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    Quote Originally Posted by morganfor View Post
    How do you prove that the ideal <x> in Q[x] is maximal?

    Thanks!
    If p(x) is irreducible then \left< p(x) \right> is maximal.
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