Thorn independence in the field of real numbers with a small multiplicative group

Berenstein A., Ealy C., GÜNAYDIN A.

Annals of Pure and Applied Logic, cilt.150, sa.1-3, ss.1-18, 2007 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 150 Sayı: 1-3
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.apal.2007.06.002
  • Dergi Adı: Annals of Pure and Applied Logic
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1-18
  • Anahtar Kelimeler: Dense pairs, Mann property, o-minimal theories, Rosy theories
  • Boğaziçi Üniversitesi Adresli: Evet

Özet

We characterize {thorn}-independence in a variety of structures, focusing on the field of real numbers expanded by predicate defining a dense multiplicative subgroup, G, satisfying the Mann property and whose pth powers are of finite index in G. We also show such structures are super-rosy and eliminate imaginaries up to codes for small sets. © 2007.