Z, where
Y and Z are proper closed subsets. Let
{gi}
and {hj}
be collections of polynomials whose
zerosets are Y and Z respectively. Try to verify the
following:Suppose that V(f) is not prime, so that
V(f) =
YZ, where
Y and Z are proper closed subsets. Let
{gi}
and {hj}
be collections of polynomials whose
zerosets are Y and Z respectively. Try to verify the
following:
V
(gi)
V
(hj),
but this inclusion contradicts one of the
previous parts of this exercise.
Back to the exercises
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