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Prove that an algebraic integer is a unit in Z(a)

  1. Mar 7, 2013 #1
    123_zps1be8c7f2.png
    I'm completely stuck here, can anyone help me?
     
  2. jcsd
  3. Mar 7, 2013 #2

    Dick

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    You shouldn't be completely stuck. One direction at least is easy. ##\alpha^n+a_{n-1}\alpha^{n-1}+...+a_1 \alpha=-a_0##. Can you show that if ##a_0=\pm 1## then ##\alpha## is a unit?
     
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