Adobe PDF
(194.14 kB)
| Title Details: | |
|
Fields and Degrees of Extensions |
|
| Authors: |
Theohari-Apostolidi, Theodora Charalambous, Hara |
| Reviewer: |
Kontogeorgis, Aristeidis |
| Subject: | MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > FIELD THEORY AND POLYNOMIALS > FIELD EXTENSIONS MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > FIELD THEORY AND POLYNOMIALS > REAL AND COMPLEX FIELDS MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > FIELD THEORY AND POLYNOMIALS > GENERAL FIELD THEORY |
| Description: | |
| Abstract: |
In this chapter we study field extensions. Polynomials are a particularly important tool for our study. If E/F is a field extension, then the field E has the additional structure of an F-vector space. We will use this structure to better understand E. We define the Galois group of E over F.
|
| Linguistic Editors: |
Theochari Apostolidi, Theodora |
| Technical Editors: |
Karydis, Ioannis Charalampous, Chara |
| Graphic Editors: |
Charalampous, Chara |
| Type: |
Chapter |
| Creation Date: | 2015 |
| Item Details: | |
| License: |
Attribution – NonCommercial – NoDerivatives 4.0 International (CC BY-NC-ND 4.0) |
| Handle | http://hdl.handle.net/11419/733 |
| Bibliographic Reference: | Theohari-Apostolidi, T., & Charalambous, H. (2015). Fields and Degrees of Extensions [Chapter]. In Theohari-Apostolidi, T., & Charalambous, H. 2015. Galois Theory [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/733 |
| Language: |
Greek |
| Is Part of: |
Galois Theory |
| Version: |
v.1.2 |
| Publication Origin: |
Kallipos, Open Academic Editions |