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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

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Identification Number: 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}.

Item Type: Article
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Additional Information: © 2017 South African Mathematical Society
Divisions: Mathematics
Subjects: Q Science > QA Mathematics
Date Deposited: 28 Sep 2016 14:33
Last Modified: 16 May 2024 23:11

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