Hi, could someone please explain the last part from Field norm - Wikipedia, the free encyclopedia:

Why it is so expected for principal ideal that ?

Thanks in advance.

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- Jul 22nd 2010, 07:38 AMdmzField norm and ideal norm
Hi, could someone please explain the last part from Field norm - Wikipedia, the free encyclopedia:

Why it is so expected for principal ideal that ?

Thanks in advance. - Jul 22nd 2010, 02:43 PMtonio
- Jul 22nd 2010, 08:47 PMdmz
Yes. I think the result must follow from the definition of field norm, but it's not obvious for me, how.

So, seeking for machinery...