Math 721
Homework 6
a) is a separable
extension of
b) is a purely inseparable extension of
c) is purely inseparable
over
d)
e) is separable over if and only if
f) If is normal over then is Galois over is Galois over and
a) (where is not a cube).
b)
c)
d) (where is not a perfect 5th
power).