Number fields and divisible groups via model theory

CELIK S. C. A. M., GORAL H.

TURKISH JOURNAL OF MATHEMATICS, cilt.45, sa.1, ss.220-232, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3906/mat-2006-95
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.220-232
  • Anahtar Kelimeler: Model theory, number fields, divisible groups, STABLE THEORIES
  • Dokuz Eylül Üniversitesi Adresli: Hayır

Özet

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.