Let D be a Euclidean domain and let v be a Euclidean norm on D. Show that
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Let D be a Euclidean domain and let v be a Euclidean norm on D. Show that for nonzero a, b ∈ D, one has v(a) < v(ab) if and only if b is not a unit of D.
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Suppose that a ab If b were a unit then a and ab would be associates and by Exercise 15 we would hav...View the full answer
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