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content/Extension fields.md

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 # 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").