On the Krull intersection theorem in function algebras
Mortini, R., Rupp, R. & Sasane, A.
(2017).
On the Krull intersection theorem in function algebras.
Quaestiones Mathematicae,
40(3), 363-380.
https://doi.org/10.2989/16073606.2017.1289482
(2017).
On the Krull intersection theorem in function algebras.
Quaestiones Mathematicae,
40(3), 363-380.
https://doi.org/10.2989/16073606.2017.1289482
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}.