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Math Help - Basisrepresentation of elements in fields

  1. #1
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    Basisrepresentation of elements in fields

    HI!
    Consider the system
    <br />
b = q_0 + q_1 \beta+ \cdots + q_{n-1} \beta^{n-1}<br />
    with
    <br />
 b \in L \textrm{, where } L = \mathbb Q(\beta) \textrm{ is a finite, algebraic extension of } \mathbb Q \textrm{ and } \{1,\beta,\cdots,\beta^{n-1} \}
    is a \mathbb Q-Base of L. How to find q_i \in \mathbb Q?

    I'm really clueless and would be very grateful for any ideas.
    Thanks
    Last edited by mathelp88; February 4th 2010 at 12:37 PM.
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  2. #2
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    hey, I really need some information about this. What's the problem? Too trivial, too difficult, impossible?? no ansatz at all?
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