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Physical Sciences and Engineering Mathematics Algebra and Number Theory

The number of overrings of an integrally closed domain

Article ID Journal Published Year Pages File Type
9492824 Expositiones Mathematicae 2005 8 Pages PDF
Abstract
We establish in this work a result that gives the number of overrings for any integrally closed domain that has only finitely many overrings; then we provide an algorithm to compute this number. We end this paper with an open problem for integral domains that are not necessarily integrally closed.
Keywords
13F0513G0513B2213B30Prüfer domain
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
The number of overrings of an integrally closed domain
Authors
Ali Jaballah,
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Journal
Expositiones Mathematicae
Journal: Expositiones Mathematicae
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13F05
13G05
13B22
13B30
Prüfer domain
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