KnowraPrimitive element theoremLinked fromLinked fromThe 4 pages that link to Primitive element theorem, each with the reason it gives.All 4Related 3Compared with 1Algebraic numberRelated: It shows that finite extensions generated by algebraic numbers can often be described by one number.Field extensionRelated: It reduces many finite extensions to adjoining a single root.Fundamental theorem of Galois theoryCompared with: It describes how an extension is generated, rather than pairing all its intermediate fields with subgroups.Algebraic number fieldRelated: It lets every number field be written using a single algebraic generator.