krull intersection theorem造句

One consequence of the lemma is the Krull intersection theorem.
The Krull intersection theorem says that this cannot happen for a Noetherian ring .)
The notion of a Noetherian ring is of fundamental importance in both field are both Noetherian rings, and consequently, such theorems as the Lasker Noether theorem, the Krull intersection theorem, and the Hilbert's basis theorem hold for them.
For instance, the ring of integers and the polynomial ring over a field are both Noetherian rings, and consequently, such theorems as the Lasker Noether theorem, the Krull intersection theorem, and the Hilbert's basis theorem hold for them.
Thus " ? " is injective if and only if this intersection reduces to the zero element of the ring; by the Krull intersection theorem, this is the case for any commutative Noetherian ring which is either an integral domain or a local ring.
It's difficult to find krull intersection theorem in a sentence. 用krull intersection theorem造句挺难的