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September 17th, 2018, 02:19 AM  #1 
Newbie Joined: Jul 2018 From: morocco Posts: 22 Thanks: 0 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 03:16 AM. 

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$ksqrt, basis, d or k$, integral 
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