Let R be a commutative ring with identity and S be a multiplicative subset of R. In this paper,
we introduce the concept of weakly S-prime ideals which is a generalization of weakly prime …

Let I be a proper ideal of a commutative ring R. An element a∈ R is called almost prime to I
provided that ra∈ I− I2 (with r∈ R) implies that r∈ I. We denote by A (I) the set of all …

In this paper, we introduce a new generalization of weakly prime ideals called $ I $-prime.
Suppose $ R $ is a commutative ring with identity and $ I $ a fixed ideal of $ R $. A proper …

Let S be a commutative ring with identity, let A be an until (left) S-module. In this paper, we
study the concepts: essential prime sub-modules as a generalization of prime sub-modules …

Let R be commutative ring with 1≠ 0. A proper ideal I of R is called a 1-absorbing primary
ideal of R if whenever nonunit elements a, b, c∈ R and abc∈ I, then ab∈ I or c∈ I. It is …

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, we introduce strongly quasi primary ideals which is an intermediate class of
primary ideals and quasi primary ideals. Let R be a commutative ring with nonzero identity …

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 …

In this paper we investigate δ-primary ideals which unify prime ideals and primary ideals. A
number of main results about prime ideals and primary ideals are extended into this general …