A separable algebraic extension 
of 
is Galoisian if every irreducible
polynomial in 
that has a single root in 
has all its roots in 
. Galoisian extensions are also called
algebraically normal.
Galoisian
See also
Algebraic Extension, Galois Extension Field, Irreducible Polynomial, Separable ExtensionExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Galoisian." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Galoisian.html