KnowraAlgebraic closureLinked fromLinked fromThe 14 pages that link to Algebraic closure, each with the reason it gives.All 14Broader topic 1Related 6Narrower topic 5Compared with 2Fundamental theorem of algebraNarrower topic: The theorem says the complex field has precisely this root-existence property.Algebraic numberNarrower topic: The algebraic numbers form the algebraic closure of the rational numbers inside the complex numbers.Field extensionNarrower topic: It provides a common setting in which polynomial roots and their extensions can be studied.Galois groupNarrower topic: Automorphisms of an algebraic closure supply the ambient symmetries behind finite Galois groups.Normal extensionNarrower topic: It is the ambient setting in which normal extensions can be characterized by their embeddings.