A Duality for Skew Field Extensions

 

 

Jan Treur

 

 

Table of contents

 

 

Introduction

 

1.         Basic knowledge and preliminaries

 

2.         l-closed structures

 

3.         l-closed fields

 

4.         Centralizers, a duality

 

5.         Some known results reflecting duality

 

6.         Decompositions

 

7.         Galois extensions and diagonal extensions

 

8.         Inner extensions

 

9.         Prime extensions

 

10.       The case [ K : Z(K) ] < ∞

 

11.       Inner extensions of degree 4

 

12.       Some examples