TY  - JOUR
TT  - ON VALUE GROUPS AND RESIDUE FIELDS OF VALUED FUNCTION FIELDS
AU  - Öke, Figen
PY  - 2016
DA  - August
JF  - Trakya Üniversitesi Fen Bilimleri Dergisi
JO  - Trakya Univ J Sci
PB  - Trakya Üniversitesi
WT  - DergiPark
SN  - 1305-6468
SP  - 71
EP  - 78
VL  - 5
IS  - 1
KW  - Değer grubu
KW  - değerlendirmelerin genişlemeleri
KW  - değerlenmiş fonksiyon cisimleri
KW  - konikler
KW  - rezidü cismi
N2  - In this paper studying on value groups and residue fields of valued rational function fields and valued function fields of conics is purposed. Let F be a function field over K ; v be a valuation on K ; w be an extension of v to F ; kw, kv and Gw, Gv be residue fields and value groups of w and v respectively. If F is rational function field over K tlıen eitlıer kw/kv is an algebraic extension or kw is a simple transcendental extension of any finite extension of kv. If F is a function field of conic over K and chark v ot 2 then either kw/kv is an algebraic extension or kw is a regular function field of conics over any finite extension of kv. In the both case either Gw/Gv is a torsion grouporthere exists a subgroup G1 of Gw such that G1/Gv is a torsion group and Gw is the direct sum of G1 and an infinite cyclic group.
UR  - https://dergipark.org.tr/tr/pub/trakyafbd/issue//246234
L1  - https://dergipark.org.tr/tr/download/article-file/214071
ER  -