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 …

On Weakly Primary Submodules Page 1 Journal of Al Azhar University-Gaza (Natural
Sciences), 2011, 13 : 31-40 http://www.alazhar.edu.ps/journal123/natural_Sciences.asp?typeno=1 …

In this paper all rings are commutative with nonzero identity. Let $ M $ be an $ R $-module.
A proper submodule $ N $ of $ M $ is called a {\it classical primary submodule}, if for each …

On Unions of Prime Submodules Page 1 Southeast Asian Bulletin of Mathematics (2004) 28:
213-218 Southeast Asian Bulletin of Mathematics © SEAMS, 2004 On Unions of Prime …

Let R be a commutative ring with non-zero identity. We define a proper submodule N of an R-
module M to be weakly prime if 0≠ rm∈ N (r∈ R, m∈ M) implies m∈ N or rM⊆ N. A …

Let $ R $ be a commutative ring with non-zero identity. We define a proper submodule $ N $
of an $ R $-module $ M $ to be weakly prime if $0\not= rm\in N $($ r\in R, m\in M $) implies …

Let R be a commutative ring with identity and let M be a unital left R-module. Goodearl
introduced the following concept: A submodule A of an R–module M is an y–closed …

Let R be a commutative ring and M an R-module. In this paper, we study the dual notion of
prime submodules (that is, second submodules of M) and investigate the conditions under …

Let R be an arbitrary ring and M be a right R-module. A proper submodule N of M is called
almost prime (respectively, weakly prime) if for each submodule K of M and each ideal I of R …

On the Prime Submodules of Primeful Modules 1 Introduction Page 1 International Journal of
Algebra, Vol. 3, 2009, no. 3, 119 - 123 On the Prime Submodules of Primeful Modules H …