%0 Journal Article %T STRONGLY DUO AND CO-MULTIPLICATION MODULES %J Journal of Algebraic Systems %I Shahrood University of Technology %Z 2345-5128 %A Safaeeyan, S. %D 2016 %\ 09/01/2016 %V 4 %N 1 %P 53-64 %! STRONGLY DUO AND CO-MULTIPLICATION MODULES %K Co-multiplication modules %K strongly duo modules %K Abelian Groups %R 10.22044/jas.2016.728 %X Let R be a commutative ring. An R-module M is called co-multiplication provided that foreach submodule N of M there exists an ideal I of R such that N = (0 : I). In this paper weshow that co-multiplication modules are a generalization of strongly duo modules. Uniserialmodules of finite length and hence valuation Artinian rings are some distinguished classes ofco-multiplication rings. In addition, if R is a Noetherian ring, then R is a strongly duoring if and only if R is a co-multiplication ring. We also show that J-semisimple strongly duorings are precisely semisimple rings. Moreover, if R is a perfect ring, then uniserial R-modules are co-multiplication of finite length modules. Finally, we showthat Abelian co-multiplication groups are reduced and co-multiplication Z-modules(Abeliangroups)are characterized. %U https://jas.shahroodut.ac.ir/article_728_14be7a662ba6a73829b723a3c29433f9.pdf