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 …

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 …

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 …

The present study introduces the concept of J-pure submodules as a generalization of pure
submodules. We study some of its basic properties and by using this concept we define the …

The purpose of this article is to introduce the graded classical S-primary submodules which
are extensions of graded classical primary submodules. We state that P is a graded classical …

المقاسات الجزئية شبة األولية من النمط كاما للمقاسات للمقاسات الجدائي Page 1 Zyarah and Al-Mothafaar
Iraqi Journal of Science, 2020, Vol. 61, No. 5, pp: 1104-1114 DOI: 10.24996/ijs.2020.61.5.19 …‎

Following the concept of generalized small submodule, we define $ g $-supplemented
modules and characterize some fundamental properties of these modules. Moreover, the …

In this paper we introduced a definition for the primary radical of a submodule with some of
its basic properties. We also define the P-radical submodule and review some results about …

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 …

Let R be a commutative ring with identity and N is a proper submodule of an R-module M. A
submodule N is said to be J-primary if whenever rx∈ N+ J (M) for some r∈ R, x∈ M and J …