Find the congruence classes in .

I'm having trouble on this one. I don't know where to start.

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- Oct 1st 2008, 11:15 PMPn0yS0ld13rCongruences classes, Quadratic Field
Find the congruence classes in .

I'm having trouble on this one. I don't know where to start. - Oct 2nd 2008, 07:49 AMThePerfectHacker
- Oct 2nd 2008, 07:11 PMPn0yS0ld13r
I don't think its a typo, but I copied it exactly how the problem is written. I'm not sure if it makes any difference, but I think the problem assumes that we're only dealing with quadratic integers in .

My book gives the following definition for divisibility in :

If and are integers in , with , we say that divides if there is an integer in such that . - Oct 4th 2008, 06:13 PMThePerfectHacker
- Oct 4th 2008, 06:40 PMPn0yS0ld13r