On the Krull intersection theorem in function algebras
Mortini, Raymond; Rupp, Rudolf; and Sasane, Amol
(2017)
On the Krull intersection theorem in function algebras.
Quaestiones Mathematicae, 40 (3).
pp. 363-380.
ISSN 1607-3606
(2017)
On the Krull intersection theorem in function algebras.
Quaestiones Mathematicae, 40 (3).
pp. 363-380.
ISSN 1607-3606
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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