Solved: 4. Prove That In A Euclidean Ring (a, B) Can Be Fo... | Chegg.com
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![To show $\mathbb{Z}[\sqrt{-5}]$ is not a Euclidean domain, why suffices to show only the field norm $N(a+b\sqrt{-5})=a^2+5b^2$ doesn't work? - Mathematics Stack Exchange](https://i.stack.imgur.com/KpOko.png "To show $\mathbb{Z}[\sqrt{-5}]$ is not a Euclidean domain, why suffices to show only the field norm $N(a+b\sqrt{-5})=a^2+5b^2$ doesn't work? - Mathematics Stack Exchange")
To show $\mathbb{Z}[\sqrt{-5}]$ is not a Euclidean domain, why suffices to show only the field norm $N(a+b\sqrt{-5})=a^2+5b^2$ doesn't work? - Mathematics Stack Exchange
Cat PID | Ring (Mathematics) | Field (Mathematics)
![PDF] A Principal Ideal Ring that is not a Euclidean Ring | Semantic Scholar](https://d3i71xaburhd42.cloudfront.net/9c4affcb88692ac66e1fe6c187b396a7d10302e4/2-Figure8-1.png "PDF] A Principal Ideal Ring that is not a Euclidean Ring | Semantic Scholar")
PDF] A Principal Ideal Ring that is not a Euclidean Ring | Semantic Scholar
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TIL there are Euclidean Domains that are Euclidean with respect to a norm that is not the respective field norm. One such example is the ring of integers of Q(sqrt(69)) : math
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