ON PRIME SUBMODULES IN WEAK MULTIPLICATION MODULES

Throughout this article, all rings will be treated as communicative with non zero identity and all modules will be treated as unitary modules. In this paper, some results have been given on prime sub modules in weak multiplication modules. By taking the notion of weak multiplication modules over a commutative ring with identity, we define the notion of product to two submodules of weak multiplication modules and we apply this notion to characterize the prime submodules in weak multiplication modules. Mathematical Subject Classification: 13C13, 13C99, 16D10.