Properties of a certain product of submodules

• Date: 2011
• Main Authors: Heidari, S., Nikandish, R., Nikmehr, M. J., Хайдарі, С., Нікандіш, Р., Нікмер, М. Дж.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2011
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2736
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let $R$ be a commutative ring with identity, $M$ an $R$-module and $K_1,..., K_n$ submodules of $M$. In this article, we construct an algebraic object, called product of $K_1,..., K_n$. We equipped this structure with appropriate operations to get an $R(M)$-module. It is shown that $R(M)$-module $...