A new family of biquadratic fields having a non-principal euclidean ideal class

Su Hu; Yan Li

A new family of biquadratic fields having a non-principal euclidean ideal class

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arxiv 1907.10850 v2 pith:6BR3MJCL submitted 2019-07-25 math.NT

Su Hu , Yan Li This is my paper · ORCID

classification math.NT

keywords fieldsbiquadraticclasseuclideanfamilyhavingidealnon-principal

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In this paper, based on the theory of genus fields of biquadartic fields, we find a new larger family of biquadratic fields having a non-principal Euclidean ideal class, which implies the main results of \cite{JNT}.

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First-Degree Prime Ideals of Biquadratic Fields dividing prescribed Principal Ideals
math.NT 2019-08 reject novelty 5.0 of 10

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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