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

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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 |
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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 |

Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |

Depositing User: | IC-Cataloging |

Date Deposited: | 14 Oct 2014 11:40 |

Last Modified: | 26 Apr 2022 10:02 |

URI: | https://research.sabanciuniv.edu/id/eprint/24719 |