Let $ R $ be a commutative ring with identity, and let $ W $ be a unitary $ R $-module. In this
paper, we introduced the concept of a weakly semi-primary submodule as a generalization …

Let R be a commutative ring with nonzero identity. Weakly primary submodules was first
introduced by S. Ebrahimi Atani and F. Farzalipour in 2005. A proper submodule A of an R …

Let R be a commutative ring containing a unit, and let M be a left R-module. We define a
proper sub-module N of an R-module M to be a weakly 2-prime sub-module if whenever 0≠ …

Let R be a commutative ring with identity, and M be a left unitary R-module. In this paper, we
introduce and study type of modules namely essential weakly quasi-prime module as …

Let R be a commutative ring with 1 ≠ 0 1≠ 0 and M be a nonzero unital R-module. Recall
that a proper submodule N of M is called a semiprimary submodule of M if whenever rm ∈ N …

Let R be a commutative ring with identity and M be an R-module. As a new generalization of
primary ideals to modules, a proper submodule N of M is a primary-like submodule if …

Let R be a commutative ring with identity and M be an R-module. A non-zero submodule N
of M is said to be a weakly second submodule if rsN⊆ K, where r, s∈ R and K is 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≠ rm∈ N (r∈ R, m∈ M) implies m∈ N or rM⊆ N. A …

On Weakly Semiprime Ideals in Commutative Rings Page 1 ISSN 1686-0209 Thai Journal of
Mathematics Volume 19 Number 1 (2021) Pages 125–129 http://thaijmath.in.cmu.ac.th On …

Let R be a commutative ring with non-zero identity and M be a unitary R-module. Let S (M)
be the set of all submodules of M and ${\phi}: S (M){\rightarrow} S (M){\cup}\{{\emptyset}\} …