On principal ideal multiplication modules

• Date: 2017
• Main Authors: Azizi, A., Jayaram, C., Азізі, А., Джаярам, К.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2017
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1696
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let $R$ be a commutative ring with identity and let $M$ be a unitary $R$-module. A submodule $N$ of $M$ is said to be a multiple of $M$ if $N = rM$ for some $r \in R$. If every submodule of $M$ is a multiple of $M$, then $M$ is said to be a principal ideal multiplication module. We characterize pri...