Let R be a commutative ring with identity, and M be unital (left) R-module. In this paper we
introduce and study the concept of small semiprime submodules as a generalization of …

Abstract" In this article," we introduce the concept of a WE-Prime submodule", as a stronger
form of a weakly prime submodule. And as a" generalization of WE-Prime submodule, we …

In this article, a new radical formula for a module over a commutative ring is introduced by
constructing a generalization of radical and envelope and defining an (e, r)-radical formula …

‎‎ 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 article, unless otherwise established, all rings are commutative with identity and all
modules are unitary left R-module. We offer this concept of WN-prime as new generalization …

In this work, we give a generalization for the concept of a small semiprime submodule. We
call a proper submodule H of an R-module G almosts semiprime submodule of G, if as often …

Let R be a commutative ring with an identity, and G be a unitary left R-module. A proper
submodule H of an R-module G is called semiprime if whenever a∈ R, y∈ G, n∈ Z+ and …

We introduce in this paper the concept of approximaitly semi-prime submodules of unitary
left 𝑅-module 𝑇 over a commutative ring 𝑅 with identity as a generalization of a prime …

Let R be a commutative ring with identity and M be a unital R-module. Let S (M) be the set of
all submodules of M and φ: S (M)→ S (M)∪{∅} be a function. We define a proper submodule …

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 …