◀ ▲ ▶Branches / Algebra / Definition: Algebraic Element
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 nonzero polynomial \(p\in F[X]\) with \(p(x)=0\).
Mentioned in:
Definitions: 1 2
Thank you to the contributors under CC BYSA 4.0!
 Github:

 nonGithub:
 @Brenner
References
Adapted from CC BYSA 3.0 Sources:
 Brenner, Prof. Dr. rer. nat., Holger: Various courses at the University of Osnabrück