On residual transcendental extensions of a valuation with rankv = 2

Öztürk B., ÖKE F.

Türkiye Klinikleri Psikiyatri Dergisi, cilt.12, sa.2, ss.111-117, 2011 (TRDizin) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 2
  • Basım Tarihi: 2011
  • Dergi Adı: Türkiye Klinikleri Psikiyatri Dergisi
  • Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.111-117
  • Trakya Üniversitesi Adresli: Evet

Özet

Abstract. Let v = v1 ◦ v2 be a valuation of a field K with rankv = 2. In this paper a residual transcendental extension w = w1 ◦ w2 of v to K(x) is studied where w1 and w2 are the residual extensions of v1 and v2 respectively. A characterization of lifting polynomials is given and the constants w(K,v)(c), Δ(K,v)(c), δ(K,v)(c) are defined for c, where (c, δ) ∈ K ×Gv is the minimal pair defining w.