University of Guilan Journal of Algebra and Related Topics 2345-3931 9 1 2021 06 01 Some results on the quotient of co-m modules 79 92 4810 10.22124/jart.2021.18893.1254 EN S. Rajaee Department of Mathematics, University of Payame Noor,Tehran, Iran. Journal Article 2021 02 11 Let $R$ be a commutative ring with identity and let $M$ be a<br /> unitary $R$-module. In this paper, among various results, we prove that if $M$ is a cancellation $R$-module and $L$ is a nonzero simple submodule of $M$, then $L$ is a copure submodule of $M$. Moreover, in this case, if $M$ is co-m, then $M/L$ is also a co-m $R$-module. We investigate various conditions under which the quotient module $M/N$ of a co-m $M$ is also a co-m. We prove that if $M$ is a cancellation Noetherian co-m module, then for every second submodule $N$ of $M$ the quotient module $M/N$ is a co-m $R$-module.<br /> We obtain some results concerning socle and radical of co-m modules. https://jart.guilan.ac.ir/article_4810_3173c7ec5731e6f0c9b365e1f627f862.pdf