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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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Rings,Fields TS. Nguyễn Viết Đông Rings, Integral Domains and Fields, 2. Polynomial and Euclidean Rings 3. Quotient Rings ppt download