Some applications of the product of submodules in multiplication modules

Document Type : Regular Paper


1 Department of Mathematics, College of Sciences, Shiraz University, Shiraz, Iran

2 University of the West Indies, Department of Mathematics, Bridgetown, Barbados


Let R be a commutative ring with identity. Let N and K be two submodules of a multiplication R-module M. Then
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
this paper we characterize some particular cases of multiplication modules by using the product of submodules.