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

Naseam Al-Kuleab, Noômen Jarboui and Marco Fontana

Journal of Mathematics, 2022, vol. 2022, 1-8

Abstract: 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 a maximal non-Dedekind domain subring of S. Maximal non-Dedekind domain subrings R of S are identified in the following cases: (1) R is not integrally closed, (2) R is integrally closed and either SuppS/R

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:4642508

DOI: 10.1155/2022/4642508

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