On the Krull Intersection Theorem in Function Algebras
Abstract
A version of the Krull Intersection Theorem states that for Noetherian domains, the Krull intersection ki(I) of every proper ideal I is trivial; that is ki(I):=n=1∞ In = \0\. We investigate the validity of this result for various function algebras R, present ideals I of R for which ki(I)≠ \0\, and give conditions on I so that ki(I)=\0\.
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