K. Al-Zoubi

activity

20202023

most citedThe Zariski topology on the graded primary spectrum of a graded module over a graded commutative ring

2 citations · 10 across the 10 of their papers we have counts for

collaborators

10 papers

math.GM2023

On graded weakly $J_{g r}$ -semiprime submodules

Malak Alnimer, Khaldoun Al-Zoubi, Mohammed Al-Dolat

Let $Γ$ be a group, $ℜ$ be a $Γ$ -graded commutative ring with unity $1$ and $ℑ$ a graded $ℜ$ -module. In this paper, we introduce the concept of graded weakly $J_{g r}$ -semipri…

math.GM2022

On $G r$ - $C$ - $2^{A}$ -secondary submodules

Thikrayat Alwardat, Khaldoun Al-Zoubi, Mohammed Al-Dolat

Let $Ω$ be a group with identity $e$ , $Γ$ be a $Ω$ -graded commutative ring and $ℑ$ a graded $Γ$ -module. In this article, we introduce the concept of $g r$ - $C$ - $2^{A}$ -secondary su…

math.GM2022

The Zariski topology on the secondary like spectrum of a module

Saif Salam, Khaldoun Al-Zoubi

Let $R$ be a commutative ring with unity and $M$ be a left $R$ -module. We define the secondary-like spectrum of $M$ to be the set of all secondary submodules $K$ of $M$ such that $…

math.AC2022★ 2 cited

Graded modules with Noetherian graded second spectrum

Saif Salam, Khaldoun Al-Zoubi

Let $R$ be a $G$ graded commutative ring and $M$ be a $G$ -graded $R$ -module. The set of all graded second submodules of $M$ is denoted by $S p e c_{G}^{s} (M)$ and it is called the graded…

math.GM2022

On graded $S$ -comultiplication modules

Mohammad Hamoda, Khaldoun Al-Zoubi

In this paper, we introduce the concept of graded $S$ -comultiplication modules. Several results concerning graded $S$ -comultiplication modules are proved. We show that $N$ is a gra…

math.AC2021★ 2 cited

The Zariski topology on the graded primary spectrum of a graded module over a graded commutative ring

Saif Salam, Khaldoun Al-Zoubi

Let $R$ be a $G$ -graded ring and M be a $G$ -graded $R$ -module. We define the graded primary spectrum of $M$ , denoted by $P S_{G} (M)$ , to be the set of all graded primary sub…

math.AC2021★ 2 cited

On $g r$ -quasi-semiprime submodules

Khaldoun Al-Zoubi, Shatha Alghueiri

Let $G$ be a group. A ring $R$ is called a graded ring (or $G$ -graded ring) if there exist additive subgroups $R_{α}$ of $R$ indexed by the elements $α \in G$ such that $R=\bigoplus…

math.AC2020★ 1 cited

Some properties of graded generalized 2-absorbing submodules

Shatha Alghueiri, Khaldoun Al-Zoubi

Let $G$ be an abelian group with identity $e$ . Let $R$ be a $G$ -graded commutative ring and $M$ a graded $R$ -module. In this paper we will obtain some results concerning the graded…

math.AC2020★ 2 cited

On graded primary-like submodules of graded modules over graded commutative rings

Khaldoun Al-Zoubi, Mohammed Al-Dolat

Let $G$ be a group with identity $e$ . Let $R$ be a $G$ -graded commutative ring and $M$ a graded $R$ -module. In this paper, we introduce the concept of graded primary-like submodule…

math.AC2020★ 1 cited

On graded $A$ -2-absorbing submodules of graded modules over graded commutative rings

Khaldoun Al-Zoubi, Saba Al-Kaseasbeh

Let $G$ be a group with identity $e$ . Let $R$ be a $G$ -graded commutative ring, $M$ a graded $R$ -module and $A \subseteq h (R)$ a multiplicatively closed subset of $R$ . In this paper…

On graded weakly Jgr​-semiprime submodules

On Gr-C-2A-secondary submodules

The Zariski topology on the secondary like spectrum of a module

Graded modules with Noetherian graded second spectrum

On graded S-comultiplication modules

The Zariski topology on the graded primary spectrum of a graded module over a graded commutative ring

On gr-quasi-semiprime submodules

Some properties of graded generalized 2-absorbing submodules

On graded primary-like submodules of graded modules over graded commutative rings

On graded A-2-absorbing submodules of graded modules over graded commutative rings

On graded weakly $J_{g r}$ -semiprime submodules

On $G r$ - $C$ - $2^{A}$ -secondary submodules

On graded $S$ -comultiplication modules

On $g r$ -quasi-semiprime submodules

On graded $A$ -2-absorbing submodules of graded modules over graded commutative rings