Abstract
Let $R$ be a commutative ring with unity and $K$ be a submodule of a non-zero left $R$-module $D$. This paper introduces a new concept as a generalization of the prime submodule, which is called $R$-prime. We prove some properties of the $R$-prime submodule and study the relationship between the $R$-prime submodules and other submodules as prime and $J$-semiprime. Also, we will see the $R$-prime submodule with the multiplication module and the injective envelope.
Citation
Zinah M K AL-Shuhaib. Mohammed Baqer Hashim AL-Hakeem. "R-Prime Submodules." Missouri J. Math. Sci. 36 (1) 64 - 67, May 2024. https://doi.org/10.35834/2024/3601064
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