About on distinguished chains
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
MTJPAM Turkey
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Let v be a valuation of a field K and a = a0, a1, …, am be a complete distinguished chain for a ? ¯K\K. Let va be the extension of the valuation v to the field K(a). In this study some properties provided by distinguished pairs and lifting polynomials used to define a residual algebraic free extension of v to the rational function field K(x) are obtained. The value group and residue field of the valuation va are written with the help of constants ?K (ai) and minimal polynomials of the elements in the chain. In addition to the relations between value groups and residue fields of the valuations vai bi of the fields K(ai, bi) are studied by considering two chains a = a0, a1, …, am and b = b0, b1, …, bm. © 2024, MTJPAM Turkey. All rights reserved.
Açıklama
Anahtar Kelimeler
Distinguished Pairs; Lifting Polynomials; Transcendental Extensions; Valuations
Kaynak
Montes Taurus Journal of Pure and Applied Mathematics
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
6
Sayı
3
