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

Number fields and divisible groups via model theory

Haydar GÖRAL
Şermin ÇAM ÇELİK
Sayfa
220–232
Yayın Tarihi
2022-11-01
DOI
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We show that these structures are not simple and have the independence property under some natural assumptions.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri:Then, we study divisible groups with a predicate.
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Sonuç & Katkı:We show that these structures are not simple and have the independence property under some natural assumptions.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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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Bu Makaleye Atıf Yap

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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Kaynakça (17)

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