Characterizations of Pairs of Rings with Few Non-Dedekind Intermediary Rings

We determine the Dedekind domain pairs of rings; that is, pairs of rings R⊂S such that each intermediary ring in between R and S is a Dedekind domain. We also establish that if R⊂S is an extension of rings having only one non-Dedekind intermediary ring, then necessarily R is not Dedekind and so R is...

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Bibliographic Details
Main Authors: Naseam Al-Kuleab, Noômen Jarboui
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2022/4642508
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