Ozturk B.Oke F.2024-06-122024-06-1220171598-7264https://doi.org/10.23001/pjms2017.20.1.73https://hdl.handle.net/20.500.14551/16546Let 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.en10.23001/pjms2017.20.1.73info:eu-repo/semantics/closedAccessLifting Polynomials; Residual Transcendental Extensions; Tame Extensions; Valued FieldsArticle20173792-s2.0-85017646421Q3