A corrigendum to “Hereditary properties between a ring and its maximal subrings”

• Date: 2018
• Main Authors: Gaur, A., Kumar, R., Гаур, А., Кумар, Р.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2018
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1578
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let $R$ be a commutative ring with identity. In [2] (Proposition 3.1), Azarang proved that if $R$ is an integral domain and $S$ is a maximal subring of $R$, and is integrally closed in $R$, then $\mathrm{d}\mathrm{i}\mathrm{m}(S) = 1$ implies that $\mathrm{d}\mathrm{i}\mathrm{m}(R) = 1$ if and only...