A separable algebraic extension 
of 
for which every irreducible
polynomial in 
which has a single root in 
has all its roots in 
is said to be Galoisian. 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 Web Resource. https://mathworld.wolfram.com/Galoisian.html