The main purpose of this paper is to answer a question which was left open in N. Jarboui and S. Aljubran [Maximal non-integrally closed subrings of an integral domain, Ric. Mat. (2020), doi.org/10.1007/s11587-020-00500-0] asking for a characterization of maximal non-integrally closed subrings of arbitrary rings.

中文翻译：

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关于最大非整数闭子环的问题的答案

本文的主要目的是回答一个在 N. Jarboui 和 S. Aljubran 中悬而未决的问题 [Maximal non-integrally closed subrings of an integer domain,里克。垫。(2020), doi.org/10.1007/s11587-020-00500-0] 要求表征任意环的最大非整数闭合子环。