3
$\begingroup$

Consider the ring $R= \mathbb Z [(1+\sqrt-19)/2]$. How do I prove it is not an euclidean domain?

1 Answers 1

6

This is a fairly messy (at least as far as I know) proof. The most elementary proof I have seen can be found here

  • 1
    Here is a link to a file of the same name, I'm not sure it's the same one: http://www.maths.qmul.ac.uk/~raw/MTH5100/PIDnotED.pdf2016-06-04