First-degree prime ideals of composite extensions

Let Q(α){\mathbb{Q}}\left(\alpha ) and Q(β){\mathbb{Q}}\left(\beta ) be linearly disjoint number fields and let Q(θ){\mathbb{Q}}\left(\theta ) be their compositum. We prove that the first-degree prime ideals (FDPIs) of Z[θ]{\mathbb{Z}}\left[\theta ] may almost always be constructed in terms of the F...

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Bibliographic Details
Main Authors: Santilli Giordano, Taufer Daniele
Format: Article
Language:English
Published: De Gruyter 2025-04-01
Series:Journal of Mathematical Cryptology
Subjects:
Online Access:https://doi.org/10.1515/jmc-2024-0036
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