Let R be a commutative ring with unity. M an R-Module. M is called coprime module (dual
notion of prime module) if ann M= ann M/N for every proper submodule N of M In this paper …

Let R be a commutative ring with identity and M be a unitary R-module. In this paper we
introduce the concept Quasi-essentially pseudo-prime module as a generalization of a …

In this paper we continue our study about quasi-primary submodules (probably satisfying the
primeful property), that was defined and studied in Part I (see [8]). We define a quasi-primary …

Sample Page 1 Sample *E-mail: aselamer16@gmail.com † E-mail: halahamdi73@gmail.com
© Journal Template File Generalization of Semi Regular Modules Aseel Amer Hassan * Hala …

In this article, all rings are commutative with nonzero identity. Let $ M $ be an $ R $-module.
A proper submodule $ N $ of $ M $ is called a classical prime submodule, if for each $ m\in …

When an Irreducible Submodule is Primary 1 Introduction Page 1 International Journal of
Algebra, Vol. 2, 2008, no. 20, 995 - 998 When an Irreducible Submodule is Primary A …

Recall that a ring R is said to be a quasi regular ring if its total quotient ring q (R) is von
Neumann regular. It is well known that a ring R is quasi regular if and only if it is a reduced …

Let R be a commutative ring with identity. For an R-module M, the notion of strongly prime
submodule of M is defined. It is shown that this notion of prime submodule inherits most of …

Let R be a commutative ring with identity and M a unitary R-module. Some properties of
prime submodules of an R-module M have been discussed. In this paper, we investigate the …

Let 𝑅 be a commutative ring and 𝑀 an 𝑅-module. Nagata introduced the idealization 𝑅 (+) 𝑀
of 𝑀. Here 𝑅 (+) 𝑀= 𝑅⊕ 𝑀 (direct sum) is a commutative ring with product (𝑟₁, 𝑚₁)(𝑟₂ …