SpringerIranian Journal of Science and Technology (Sciences)1028-627635420111206Some applications of the product of submodules in multiplication modules273277215110.22099/ijsts.2011.2151ENA. AziziDepartment of Mathematics, College of Sciences, Shiraz University, Shiraz, IranC. JayaramUniversity of the West Indies, Department of Mathematics, Bridgetown, BarbadosJournal Article20110306Let R be a commutative ring with identity. Let N and K be two submodules of a multiplication R-module M. Then<br />N=IM and K=JM for some ideals I and J of R. The product of N and K denoted by NK is defined by NK=IJM. In<br />this paper we characterize some particular cases of multiplication modules by using the product of submodules.http://ijsts.shirazu.ac.ir/article_2151_60ae10c6a476fc88633dba5e5b7ea3f0.pdf