Description
The roots of a minimal polynomial are called conjugated. They are called like this because they are indistinguishable since they can be exchanged by automorphisms. (A property of one root can be transferred to another root by conjugation). Or the name is taken from the fact that complex roots of a degree 2 polynomial are called conjugated…
Definition
Sei eine normale Erweiterung und . Dann werden die Nullstellen des Minimalpolynoms in die Konjugierten des Elements über genannt.
Examples
Conjugated complex roots
Die Konjugierten eines Elements über ist selbst und das konjugiert-komplexe Element.