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Algebra problem


 




 
Dennis (13)Algebra problem - 2006-02-26 10:18:03
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Since noone posts in this section anyway, I might as well abuse it. :P

I could use some help with the following problem:

Prove that (1+i) is a maximal ideal of Z[i] (the ring of gaussian integers).

Dirtysouthafrican (2)Algebra problem - 2006-02-26 10:50:57
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Wtf is a gaussian integer?

Dennis (13)Algebra problem - 2006-02-26 10:55:00
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A complex number a+bi where a and b are integers.

Dirtysouthafrican (2)Algebra problem - 2006-02-26 11:08:45
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But 1 isn\'t prime, though...

Fuzzpilz (105)Algebra problem - 2006-03-09 16:15:36
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Fuzzpilz (105)Algebra problem - 2006-03-10 04:13:01
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...and I just noticed the age of this thread. Silly me.

Dennis (13)Algebra problem - 2006-03-10 08:41:59
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Actually, I did not solve this one yet so the reply is still very useful. :)

I didn\'t know what a principal ring was yet, but I\'m reading up on these terms now and I\'m beginning to understand the proof. Thanks.

Dennis (13)Algebra problem - 2006-03-17 07:15:36
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