Primitive element theorem

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What Wikipedia says

In field theory, the primitive element theorem states that every finite separable field extension is simple, i.e. generated by a single element. This theorem implies in particular that all algebraic number fields over the rational numbers, and all extensions in which both fields are finite, are simple.

Excerpt from the Wikipedia article “Primitive element theorem”, under the CC BY-SA 4.0 license. Read the article on Wikipedia