8. Let a ∈ Z[i]. Prove: If δ(a) is prime, then a is irreducible in Z[i]
Added by Mackenzie F.
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In the Gaussian integers \( \mathbb{Z}[i] \), an element \( a \) is said to be irreducible if it is not a unit and cannot be expressed as a product of two non-unit elements in \( \mathbb{Z}[i] \). The norm \( \delta(a) \) of an element \( a = x + yi \) (where \( Show more…
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