Let R be a commutative ring and M an R-module. In this work we introduce two new generalizations of multiplication modules via δ-small submodules and small submodules of a fixed module. A module M is said to be (δ-)small multiplication provided for every (δ-)small submodule N of M, there is an ideal I of R such that N = IM. We study some general properties of both δ-small multiplication modules and also small multiplication modules. A counterexample is presented to state the fact that the class of all δ-small multiplication modules lies exactly between the class of multiplication modules and small multiplication modules. We show that any direct summand of a (δ-)small multiplication module inherits the property.
