First-degree prime ideals of composite extensions

• Published in: Journal of mathematical cryptology Vol. 19; no. 1; pp. 50 - 94
• Main Authors: Santilli, Giordano, Taufer, Daniele
• Format: Journal Article
• Language: English
• Published: Berlin De Gruyter 14.04.2025; Walter de Gruyter GmbH
• Subjects: 11Y05; 11Y40; 12F05; first-degree prime ideals; linearly disjoint extensions; Number theory; principal ideal factorization

Let and be linearly disjoint number fields and let be their compositum. We prove that the first-degree prime ideals (FDPIs) of may almost always be constructed in terms of the FDPIs of and , and . We identify the cases where this correspondence does not hold, and provide explicit counterexamples for...