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).