Teoría de Galois y G-conjuntos

Barrera Esteban, Fernando
Montaner Frutos, Fernando (dir.)

Universidad de Zaragoza, CIEN, 2016
Departamento de Matemáticas, Área de Algebra

Graduado en Matemáticas

Resumen: The following text discusses the Galois Theory in a non-classical way. It consists of two chapters. The first one establish some results about algebras. Here the reader can find what algebras and algebras over a field are; what we call trivial, separable algebras, etc. The reader will find at some points how the classical theory of algebraic extensions fits in this context. The second chapter is divided in two parts. First, I give some basic results of G-sets. Then I state the theorems and propositions which will allow us to establish and prove the Galois Theorem, which will be displayed at the end.

Tipo de Trabajo Académico: Trabajo Fin de Grado