title
  

On ramifications in extensions of rational function fields

Warning The system is temporarily closed to updates for reporting purpose.

Anbar, Nurdagül (2009) On ramifications in extensions of rational function fields. [Thesis]

[img]
Preview
PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
262Kb

Official URL: http://192.168.1.20/record=b1427170 (Table of Contents)

Abstract

Let K (x) be a rational function field, which is a finite separable extension of the rational function field K (z). In the first part of the thesis, we have studied the number of ramified places of K (x) in K (x) =K (z). Then we have given a formula for the ramification index and the different exponent in the extension F (x) over a function field F, where x satisfies an equation f (x) = z for some z 2 F and separable polynomial f (x) 2 K [x]. In fact, this generalizes the well-known formulas for Kummer and Artin- Schreier extensions.

Item Type:Thesis
Uncontrolled Keywords:Function fields. -- Function field extensions. -- Ramification index. -- Different exponent. -- Fonksiyon cisimleri. -- Fonksiyon cisimlerin genişlemeleri. -- Dallanma indexi. -- Fark kuvveti.
Subjects:Q Science > QA Mathematics
ID Code:24719
Deposited By:IC-Cataloging
Deposited On:14 Oct 2014 11:40
Last Modified:25 Mar 2019 17:10

Repository Staff Only: item control page