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Euclidean Domains and Principal Integral Domains

Determine whether the ring R=Z[(1+√-5)/2] is a Euclidean Domain.
And whether the ring R=Z[(1+√-5)/2] is a Principal Ideal Domain

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the ring Z[sqrt(-5)] is not principal, indeed. However, I do not ...

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Euclidean domains and principal integral domains are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.