VALUED MODULES over SKEW POLYNOMIAL RINGS i

Onay G.

Journal of Symbolic Logic, cilt.82, sa.4, ss.1519-1540, 2017 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 82 Sayı: 4
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1017/jsl.2017.72
  • Dergi Adı: Journal of Symbolic Logic
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1519-1540
  • Anahtar Kelimeler: Ax-Kochen and Ershov Theorem, divisible modules, Ore rings, p-closed fields, valued fields, valued modules
  • Galatasaray Üniversitesi Adresli: Hayır

Özet

We introduce a notion of valued module which is suitable to study valued fields of positive characteristic. Then we built-up a robust theory of henselianity in the language of valued modules and prove Ax-Kochen Ershov type results.