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September 17th, 2018, 01:19 AM   #1
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Math Focus: algebraic number theory
Integral basis $K(\sqrt d)/K$

Greetings


I was reading about the integral basis of the quadratic field
$\displaystyle \mathbb{Q}(\sqrt d)$ and I have this question please:

Are there any results of the integral basis of the quadratic extension
$K(\sqrt d)/K$, where the ring of integers of $K$ is principal??
Please if there is any ideals or references talking about this, share it with me.

Thank you very much.
Best regards

Last edited by skipjack; September 17th, 2018 at 02:16 AM.
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