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Definition: Algebraic Element

Let \(F\) be a field and let \(L/F\) be its field extension. An element \(x\in L\) is called algebraic over \(F\), if there is a non-zero polynomial \(p\in F[X]\) with \(p(x)=0\).

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References

Adapted from CC BY-SA 3.0 Sources:

  1. Brenner, Prof. Dr. rer. nat., Holger: Various courses at the University of Osnabrück