On certain extensions of valued fields

ÖZTÜRK B., ÖKE F.

Proceedings of the Jangjeon Mathematical Society, cilt.20, sa.1, ss.73-79, 2017 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 1
  • Basım Tarihi: 2017
  • Doi Numarası: 10.23001/pjms2017.20.1.73
  • Dergi Adı: Proceedings of the Jangjeon Mathematical Society
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.73-79
  • Anahtar Kelimeler: Lifting polynomials, Residual transcendental extensions, Tame extensions, Valued fields
  • Trakya Üniversitesi Adresli: Evet

Özet

Let v = vo t2 o ... o vn be a valuation of a field K with rankv = n. Let (L, z)/(K, v) be a finite extension of valued fields where z = z o z<2, o ... o zn is the extension of v to field L . In this paper it is shown that, if (L, z)/(K,v) is a tame extension then finite extensions of valued fields (L, zi)/(K, v) and (kZil ,Zi)/(kVi-1, Vi) are tame extensions for i = 2, ...,n. In this paper a residual transcendental extension of w = w o W2 o ... o wn to K(x) is studiedd and a characterization of lifting polynomials is given where Wi is the residual extension of v% for % - 1 ....., TX. 2000 Mathematics Subject Classification. 12F05, 12J10, 12J20.