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How should I begin this question?

  1. Oct 26, 2006 #1
    If alpha is a quadratic integers in Q[sqrt(-d)] , then define a notion of congruence (mod alpha).
    Furthermore, define +, -, and X for congruence classes , and show that this notion is well-defined.

    Could you please guide me to begin this question? Thank you very much.
  2. jcsd
  3. Oct 26, 2006 #2


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    Do you know how to do that for ordinary integers? If so, just follow the same basic idea.
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