First-degree prime ideals of Z[alpha+beta] can be combined from those of Z[alpha] and Z[beta], but the claimed preservation of divisibility of principal ideals rests on a false intersection formula.
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First-Degree Prime Ideals of Biquadratic Fields dividing prescribed Principal Ideals
First-degree prime ideals of Z[alpha+beta] can be combined from those of Z[alpha] and Z[beta], but the claimed preservation of divisibility of principal ideals rests on a false intersection formula.