Let R be a commutative ring. An R-module M is called a multiplication module if for each
submodule N of M, N= IM, for some ideal I of R. In this paper, first we define the notion of …

Let R be a commutative ring with identity and M be a unital R-module. Then M is called a
multiplication module provided for every submodule N of M there exists an ideal I of R such …

Let R be a commutative ring with identity and let M be an R-module. Then M is called a
multiplication module if for every submodule N of M there exists an ideal I of R such that N …

A Short Note on the Primary Submodules of Multiplication Modules Page 1 International Journal
of Algebra, Vol. 1, 2007, no. 8, 381 - 384 A Short Note on the Primary Submodules of …

By considering the notion of multiplication modules over a commutative ring with identity,
first we introduce the notion product of two submodules of such modules. Then we use this …

Let R be a commutative ring with identity (zero-divisors admitted). Various properties of
submodules a multiplication module are considered. In fact, our aim here is to generalize …

Comaximal Submodules of Multiplication Modules 1 Introduction Page 1 International
Mathematical Forum, 5, 2010, no. 24, 1179 - 1183 Comaximal Submodules of Multiplication …

Let R be a commutative ring with identity. Let N and K be two submodules of a multiplication
R-module M. ThenN= IM and K= JM for some ideals I and J of R. The product of N and K …

Let R be a commutative ring with non-zero identity. This paper is devoted to the study some
of properties of the product of submodules of a multiplication module. Suppose N is a …

Let R be a commutative ring with identity and let M be a unitary R-module. A submodule N of
M is said to be a multiple of M if N= rM for some r 𝜖 R. If every submodule of M is a multiple …