Hilbert-零点定理

7.

1 )

V( A ) = V( rad A )

2 )

I( V( A ) ) = rad A : Hilbert-零点定理

3 )

P = rad Q

⇒

P = I( V( Q ) )

4 )

I( V( A ) ) = rad I( V( A ) )

8.

1 )

I( V( S1 ) ∩ V( S2 ) ) = rad ( I( V( S1 )+I( V( S2 ) ) )

2 )

I( V( S1 ) ∪ V( S2 ) ) = I( V( S1 ) ∩ I( V( S2 ) )

これで書き直し完 !