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Journals / Turkish Journal of Mathematics / 2021 / Cilt: 45 - Sayı: 1

Number fields and divisible groups via model theory

Haydar GÖRAL
Şermin ÇAM ÇELİK
Pages
220–232
Publication Date
2022-11-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We show that these structures are not simple and have the independence property under some natural assumptions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this note, we first show that solutions of certain equations classify the number fields lying in imaginary quadratic number fields.
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Key Findings & Data:Then, we study divisible groups with a predicate.
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Conclusion & Impact:We show that these structures are not simple and have the independence property under some natural assumptions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this note, we first show that solutions of certain equations classify the number fields lying in imaginary quadratic number fields. Then, we study divisible groups with a predicate. We show that these structures are not simple and have the independence property under some natural assumptions.

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Cite This Article

GÖRAL, H., ÇELİK, Ş. Ç. (2022). Number fields and divisible groups via model theory. Turkish Journal of Mathematics, Cilt: 45 - Sayı: 1, 220–232. https://ajindex.com/articles/607466

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