diff --git a/content/Extension fields.md b/content/Extension fields.md index bf1ae9f..6f5c2ba 100644 --- a/content/Extension fields.md +++ b/content/Extension fields.md @@ -6,7 +6,7 @@ tags: [] --- # Extension fields -Fundamental concept in abstract algebra, esp field theory. Crucial role in understanding structure of fields and have important applications in areas like algebraic number theory and [[Galois theory]]. +Fundamental concept in abstract algebra, esp field theory. Crucial role in understanding structure of fields and have important applications in areas like algebraic number theory and [[Galois Theory|Galois theory]]. ## Definition An extension field is a larger field that contains a given base field as a subfield. If $F$ is the base field and $E$ is the extension field, we denote this as $E/F$ ("E over F").