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 A note on monoform modules Bull. Korean Math. Soc. 2019 Vol. 56, No. 2, 505-514 https://doi.org/10.4134/BKMS.b180382Published online 2019 Mar 01 Alireza Hajikarimi, Ali Reza Naghipour Islamic Azad University; Monash University Abstract : Let $R$ be a commutative ring with identity and $M$ be a unitary $R$-module. A submodule $N$ of $M$ is called a dense submodule if ${\rm{Hom}}_R(M/N,E_R(M))=0$, where $E_R(M)$ is the injective hull of $M$. The $R$-module $M$ is said to be monoform if any nonzero submodule of $M$ is a dense submodule. In this paper, among the other results, it is shown that any kind of the following module is monoform. (1) The prime $R$-module $M$ such that for any nonzero submodule $N$ of $M$, ${\rm{Ann}}_R(M/N)\neq{\rm{Ann}}_R(M)$. (2) Strongly prime $R$-module. (3) Faithful multiplication module over an integral domain. Keywords : dense submodule, prime module, monoform module, injective hull, multiplication module MSC numbers : 13C05, 13C11, 13E05 Full-Text :