Primitive Element Theorem

In mathematics, more specifically in the area of modern algebra known as field theory, the primitive element theorem or Artin's theorem on primitive elements is a result characterizing the finite degree field extensions that possess a primitive element. More specifically, the primitive element theorem characterizes those finite degree extensions such that there exists with .

Read more about Primitive Element Theorem:  Terminology, Existence Statement, Counterexamples, Constructive Results, Example

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