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Math Help - Congruence Classes

  1. #1
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    Congruence Classes

    Hello all!

    I was looking over some examples of congruence classes and I ran into one I could not find.

    1. Is there/Are there a congruence class(es)  (mod (3+\sqrt{3})/2) in  Q[\sqrt{-3}] ? If so, what are they? I'm not sure if they exist or not even.

    2. If  \alpha is a quadratic integer in  Q[\sqrt{-d}] , then a notion of congruence  (mod \alpha) can be defined. How can this be defined how can we further define +, -, and x for congruences classes?

    Thank you everyone!

    -Samson
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  2. #2
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    What in the world. In one of your past posts, specifically this one:
    http://www.mathhelpforum.com/math-he...rs-154495.html
    You clearly state that you know the congruence classes are -1, 0, and 1. And in this post, you're asking what the congruence classes are. This doesn't make any sense, what's going on?

    By the way, the congruence classes are -1, 0, and 1, which you seemed to know earlier but not now.
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