Suppose that D is an integral domain and that ? is a

Chapter 13, Problem 67E

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Problem 67E

Suppose that D is an integral domain and that Φ is a nonconstant function from D to the nonnegative integers such that Φ(xy) = Φ(x)Φ(y). If x is a unit in D, show that Φ(x) = 1.

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