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 …

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 …

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 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 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 …

‎‎ Let $ R $ be a commutative ring with non-zero identity, $ S\subseteq R $ be a
multiplicatively closed subset of $ R $ and let $ M $ be an $ R $-module. A submodule $ N …

In this study, all rings are commutative with non-zero identity and all modules are considered
to be unital. Let $ M $ be a left $ R $-module. A proper submodule $ N $ of $ M $ is called an …

Let R and S be commutative rings and M be an (R, S)-module. In this paper, we present the
dual notion of jointly prime (R, S)-submodules, that is called jointly second (R, S) …

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 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 …