Field Extensions
Bachelor of Science in Mathematics · University · Abstract Algebra
This unit introduces the concept of field extensions, which are algebraic structures that extend existing fields. We will explore examples of field extensions and delve into Galois theory, which provides a framework for understanding the structure and properties of field extensions.
Zum Üben gibt es 56 Aufgaben. Jede Antwort bekommt sofort eine Rückmeldung, kostenlos und ohne Anmeldung.
Das gehört dazu
- Definition and properties of field extensions
- Algebraic closure and field extensions
- Galois groups and their properties
- Applications of Galois theory in field theory and abstract algebra
- Structure and properties of specific field extensions (e.g.
- finite fields
- cyclotomic fields)
Stichworte
- Field Extensions
- Galois Theory
- Algebraic Structures
- Field Theory
- Abstract Algebra
- Mathematics
- Bachelor of Science
- University