Title Details: | |
Fields and Degrees of Extensions |
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Authors: |
Theochari 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.
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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: | Theochari Apostolidi, T., & Charalambous, H. (2015). Fields and Degrees of Extensions [Chapter]. In Theochari Apostolidi, T., & Charalampous, C. 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 |