What's the field of fractions of $\displaystyle \mathbb{Z}[\sqrt{-4}]$? $\displaystyle \mathbb{Q}(i)$? Why?
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Originally Posted by Stiger What's the field of fractions of $\displaystyle \mathbb{Z}[\sqrt{-4}]$? $\displaystyle \mathbb{Q}(i)$? Why? $\displaystyle \mathbb{Z}[\sqrt{-4}]=\mathbb{Z}[2i]$... Tonio
Originally Posted by tonio $\displaystyle \mathbb{Z}[\sqrt{-4}]=\mathbb{Z}[2i]$... Tonio Sorry...^^ It's very very easy!!!
Last edited by Stiger; Mar 23rd 2011 at 03:58 AM.
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