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 n≥ 2 be a positive integer, R be a commutative ring with identity and M be a unitary R-
module. In this paper we study the (n− 1, n)-weakly prime submodules, ie, a proper …

Let R be a commutative ring with non-zero identity and M be a unitary R-module. Let (M) be
the set of all submodules of M, and φ:(M)→(M)∪{∅} be a function. We say that a proper …

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 classical prime submodule, if for each $ m\in …

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 …

Let R be a commutative ring with identity and M an R-module. A proper submodule N of M is
called strongly prime [resp. strongly semiprime], if.. NC Rx/WM/y  N [resp... NC Rx/WM/x  …

Let R be a commutative ring with identity. A proper submodule N of an R-module M will be
called prime [resp. n-almost prime], if for r∈ R and a∈ M with ra∈ N [resp. ra∈ N\(N: M) n …

Let R be a commutative ring with unity and let M be a left R-module. We define a proper
submodule N of M to be a weakly prime if whenever r &# 61646; R, x &# 61646; M, 0 &# …

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 …