263 citations
- Center for Astrophysics Harvard & SmithsonianUS4 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- Khalifa University of Science and TechnologyAE4 papers
- Queen's University BelfastGB4 papers
- CEA DAM Île-de-FranceFR3 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR3 papers
- Concordia UniversityCA3 papers
- Institut des Sciences Moléculaires d'OrsayFR3 papers
- Synchrotron SOLEILFR3 papers
- University of Prince Edward IslandCA3 papers
- Advanced Light Source2 papers
- Argonne National LaboratoryUS2 papers
10 papers · 1 filter
Graded modules with Noetherian graded second spectrum
Saif Salam, Khaldoun Al-Zoubi
Let be a graded commutative ring and be a -graded -module. The set of all graded second submodules of is denoted by and it is called the graded…
Results on the normality of square-free monomial ideals and cover ideals under some graph operations
Ibrahim Al-Ayyoub, Mehrdad Nasernejad, Kazem Khashyarmanesh +2
In this paper, we introduce techniques for producing normal square-free monomial ideals from old such ideals. These techniques are then used to investigate the normality of cover i…
The Zariski topology on the graded primary spectrum of a graded module over a graded commutative ring
Saif Salam, Khaldoun Al-Zoubi
Let be a -graded ring and M be a -graded -module. We define the graded primary spectrum of , denoted by , to be the set of all graded primary sub…
The Quasi-Zariski topology on the graded quasi-primary spectrum of a graded module over a graded commutative ring
Malik Jaradat, Khaldoun Al-Zoubi
Let be a group with identity . Let be a -graded commutative ring and a graded -module. A proper graded submodule of is called a graded quasi-primary su…
On Graded classical 2-absorbing second submodules of graded modules over graded commutative rings
Khaldoun Al-Zoubi, Mariam Al-Azaizeh
Let be a group with identity . Let be a -graded commutative ring and a graded -module. In this paper, we introduce the concept of graded classical and graded s…
On graded -prime submodules of graded modules over graded commutative rings
Shatha Alghueiri, Khaldoun Al-Zoubi
Let be a group with identity . Let be a -graded commutative ring with identity and a graded -module. In this paper, we introduce the concept of graded -…