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Forum: Abstract Algebra & Algebraic Number Theory 2018-01-13, 18:13
Replies: 3
Views: 4,976
Posted By carpetpool
Post I didn't notice your question there, and yes this...

I didn't notice your question there, and yes this is true (I don't have a proof although I'm sure there is one someone already discovered).

Example:

K= Q(sqrt(-5)), the ideals P = <x-2,3>, Q =...
Forum: Abstract Algebra & Algebraic Number Theory 2018-01-13, 18:07
Replies: 3
Views: 4,976
Posted By carpetpool
Post Yes, Nick. ...

Yes, Nick.

https://en.wikipedia.org/wiki/Ideal_class_group

I am not sure if this grasps the same concept I addressed:
Forum: Abstract Algebra & Algebraic Number Theory 2018-01-13, 05:09
Replies: 3
Views: 4,976
Posted By carpetpool
Post Ideal groupings in number fields

K is a number field,
h is its class number > 1,
P and Q are non-principal prime ideals in K, so are Pn and Qn,
[G, G2, G3,... Gn] (ideal groupings) are the groupings of all non-principal prime...
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