First-Degree Prime Ideals of Biquadratic Fields Dividing Prescribed Principal Ideals
First-Degree Prime Ideals of Biquadratic Fields Dividing Prescribed Principal Ideals
We describe first-degree prime ideals of biquadratic extensions in terms of first-degree prime ideals of two underlying quadratic fields. The identification of the prime divisors is given by numerical conditions involving their ideal norms. Interestingly, the correspondence between these ideals in the larger ring and those in the smaller ones …