On the Krull intersection theorem in function algebras

Mortini, Raymond, Rupp, Rudolf and Sasane, Amol ORCID: 0000-0001-5566-9877 (2017) On the Krull intersection theorem in function algebras. Quaestiones Mathematicae, 40 (3). pp. 363-380. ISSN 1607-3606

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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}.

Item Type:	Article
Official URL:	http://www.tandfonline.com/toc/tqma20/current
Additional Information:	© 2017 South African Mathematical Society
Divisions:	Mathematics
Subjects:	Q Science > QA Mathematics
Date Deposited:	28 Sep 2016 14:33
Last Modified:	01 Oct 2024 03:44
URI:	http://eprints.lse.ac.uk/id/eprint/67899

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