On common extensions of valued fields

JOURNAL OF ALGEBRA

卷:584

Article

Mahboub, W.¹  Mansour, A.¹  Spivakovsky, M.^2,3 

[1] Lebanese Int Univ, Mouseitbeh POB 146404, Beirut, Lebanon

[2] Univ Paul Sabatier, Inst Math Toulouse UMR 5219 CNRS, 118 Route Narbonne, F-31062 Toulouse 9, France

[3] UNAM, UMI CNRS 2001 LaSol, Toulouse, France

关键词: Valuation;    Key polynomials;    Minimal pairs;    Common extensions;   

DOI  :  10.1016/j.jalgebra.2021.04.027

来源: Elsevier

【 摘 要 】

Given a valuation v on a field K, an extension (v) over bar to an algebraic closure (K) over bar and an extension w to K(X). In this paper, we study common extensions (w) over bar of both w and (v) over bar to the field (K) over bar (X). We describe the set of valuations (w) over bar using a last key polynomial for the valuation w and its roots. (C) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free