The main aim of this paper is to study locally multiplication modules and to extend some
properties of multiplication modules to locally multiplication modules. Some conditions are …

On Locally Reduced and Locally Multiplication Modules 1 Introduction Page 1 International
Mathematical Forum, Vol. 8, 2013, no. 18, 851 - 858 HIKARI Ltd, www.m-hikari.com On Locally …

Pure and Copure Submodules 1 Introduction Page 1 International Journal of Algebra, Vol. 8,
2014, no. 14, 649 - 653 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/10.12988/ija.2014.4543 …

An R-module M is called a multiplication module if for each submodule N of M, N= IM for
some ideal I of R. As defined for a commutative ring R, an R-module M is said to be reduced …

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 …

In this short paper we shall find some properties on multiplication modules and prove three
theorems.

Some Remarks on Free Multiplication Modules 1 Introduction Page 1 International Journal of
Algebra, Vol. 5, 2011, no. 14, 655 - 659 Some Remarks on Free Multiplication Modules Saeed …

Let R be a commutative ring with identity and M a unital R-module. The module M is said to
be a multiplication module provided for each submodule N of M there exists an ideal I of R …