![There are finitely man rings Z[sqrt{d}] with d=2,3 (mod 4) which are norm Euclidean : r/askmath](https://preview.redd.it/85eslagnytj91.png?width=663&format=png&auto=webp&s=c6f82e0eb98641a7821c77d3fec6cae813af567b "There are finitely man rings Z[sqrt{d}] with d=2,3 (mod 4) which are norm Euclidean : r/askmath")
There are finitely man rings Z[sqrt{d}] with d=2,3 (mod 4) which are norm Euclidean : r/askmath
![Solved 2) (This exercise shows that Z[−1] is a Euclidean | Chegg.com](https://media.cheggcdn.com/study/4ae/4ae4ef93-6ed9-4807-a65a-24575930f023/image "Solved 2) (This exercise shows that Z[−1] is a Euclidean | Chegg.com")
Solved 2) (This exercise shows that Z[−1] is a Euclidean | Chegg.com
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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)) : r/math
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![Solved I - 1. Let F be a field and let F[x] be the | Chegg.com](https://media.cheggcdn.com/media/81b/81be7dd1-9bd9-475e-a96d-cbd2d08201b5/php8kOXVn.png "Solved I - 1. Let F be a field and let F[x] be the | Chegg.com")
Solved I - 1. Let F be a field and let F[x] be the | Chegg.com
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Solved We shall prove that the ring of Gaussian integers | Chegg.com
![SOLVED: (a) In a ring R, define unit. Find the units in the ring: Zio [4 marks] In a ring an element is defined to be idempotent if x = x Prove](https://cdn.numerade.com/ask_images/e78d3771e68a4538b48716a268583954.jpg "SOLVED: (a) In a ring R, define unit. Find the units in the ring: Zio [4 marks] In a ring an element is defined to be idempotent if x = x Prove")