Multiplication modules

Multiplication modules which was introduced by Mehdi in 1974, is a structure in module theory. However, in 1988, defined in a different way by Barnard. Since then, this definition has been considered. In this study, firstly ring and module theory were described for research in multiplication modules in commutative ring. In the next part, initially, definition and basic properties of multiplication module over commutative ring were given. Furthermore, some necessary and sufficient conditions for a module to be multiplication were given. Then, whether some results on prime and maximal ideals also hold for prime and maximal submodules of multiplication modules were investigated and particularly finitely generated multiplication modules were examined. Finally, in this part, radical of submodules of multiplication modules was characterized.