Let $ R $ be a $\Gamma $-ring and $\partial $ be an $ R\Gamma $-module. A proper $
R\Gamma $-submodule. $ T $ of an $ R\Gamma $-module $\partial $ is called Z-prime …

Let R be a Γ-ring and G be a R Γ-module. Aproper R Γ-submodule E of G is said to be S-
prime (S-semiprime) RΓ-submodule of G whenever μ (K)⊆ E (μ (m) γ μ (m) E), for some K be …

On primary radical RΓ-submodules of RΓ-modules Page 1 © On primary radical RΓ-submodules
of RΓ-modules Ali Abd Alhussein Zyarah * Nuhad Salim Al-Mothafar † Department of …

A gamma ring (Γ− ring) is ΓR-module and W is proper Γ R-submodule. Let W be a proper ΓR-
submodule of an ΓR-module is called nearly prime, for short NP. ΓR-submodule if whenever …

Let G be a ΓM-module. A ΓM-submodule N of G is said to be prime if for any ideal I of M and
for any ΓM-submodule V of G, V ΓI⊆ N implies V⊆ N or I⊆(N: G) M. The purpose of this …

In this paper we introduce and study the concepts of semisimple gamma modules, regular
gamma modules and fully idempotent gamma modules as a generalization of semisimple …

Gamma Modules Page 1 Gamma Modules R. Ameri, R. Sadeghi Department of Mathematics,
Faculty of Basic Science University of Mazandaran, Babolsar, Iran e-mail: ameri@umz.ac.ir …

A submodule N of Gamma module M is PEΓ− submodule, if for each m in M, ideal I in R if
IΓm ̸= 0, then IΓ (N: RΓ m) Γm ̸= 0. PEΓ− submodule is a proper generalization of …

In this work g-radical supplemented modules are defined which generalize gsupplemented
modules. Some properties of g-radical supplemented modules are investigated. It is proved …

We define a prime Γ M-module for a Γ-ring M. It is shown that a subset P of M is a prime ideal
of M if and only if P is the annihilator of some prime Γ M-module G. s-prime ideals of M were …