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FINITE UNIONS OF OVERRINGS OF AN INTEGRAL DOMAIN
Stockholm University, Faculty of Science, Department of Mathematics.
Number of Authors: 12020 (English)In: Journal of Commutative Algebra, ISSN 1939-0807, E-ISSN 1939-2346, Vol. 12, no 1, p. 87-90Article in journal (Refereed) Published
Abstract [en]

Let R be an integral domain, and let A, A(1), A(2), ..., A s be overrings of R, where A is of the form S-1 R, where S = R \ p1 boolean OR ... boolean OR p(n) for for some prime ideals p(i), and where each A(i), i >= 2, is of the form S-i(-1) R for some multiplicatively closed subset S-i of R. It is shown that if A subset of A(1) boolean OR ... boolean OR A(s), then A subset of A(i) for some i.

Place, publisher, year, edition, pages
2020. Vol. 12, no 1, p. 87-90
Keywords [en]
integral domains, overrings, finite unions, avoidance
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-182913DOI: 10.1216/jca.2020.12.87ISI: 000533547700006OAI: oai:DiVA.org:su-182913DiVA, id: diva2:1448364
Available from: 2020-06-27 Created: 2020-06-27 Last updated: 2022-02-26Bibliographically approved

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Gottlieb, Christian

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