This article introduces the concept of S‐semiprime submodules which are a generalization
of semiprime submodules and S‐prime submodules. Let M be a nonzero unital R‐module …

Let R be a commutative ring with non-zero identity, S⊆ R a multiplicatively closed subset of
R and M a unital R-module. In this paper, we introduce the concepts of S-almost semiprime …

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}\} …

Let $ R $ be a commutative ring with identity, $ S $ a multiplicatively closed subset of $ R $,
and $ M $ be an $ R $-module. In this paper, we study and investigate some properties 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 be a commutative ring with identity and a fixed ideal of and be an unitary-module. We
say that a proper submodule of is-semi prime submodule if with. In this paper, we investigate …

In this study, we introduce the concepts of S-prime submodules and S-torsion-free modules,
which are generalizations of prime submodules and torsion-free modules. Suppose S⊆ R is …

Let R be a commutative ring with identity, S a multiplicatively closed subset of R, and M be
an R-module. The aim of this article is to introduce and investigate some properties of the …

A submodule of an R-module M which Dauns 1 was named semiprime submodules that
they are generalized of semiprime ideals, which get big importance at last years, many …

Let $ R $ be a commutative ring with a non-zero identity, $ S $ be a multiplicatively closed
subset of $ R $ and $ M $ be a unital $ R $-module. In this paper, we define a submodule …