Let D be an integral domain with a multiplicative norm N such that |N()| = 1 for

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Let D be an integral domain with a multiplicative norm N such that |N(α)| = 1 for α ∈ D if and only if α is a unit of D. Let π be such that |N(π)| is minimal among all |N(β)| > 1 for β ∈ D. Show that π is an irreducible of D.

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