Z-prime gamma submodule of gamma modules | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 8، دوره 13، شماره 1، خرداد 2022، صفحه 97-102 اصل مقاله (392.41 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.5461 | ||
| نویسندگان | ||
| Ali Abd Alhussein Zyarah* 1؛ Ahmad Hadi Hussain2؛ Hayder Kadhim Zghair3 | ||
| 1Iraqi Ministry of Education, General Directorate of Education for the Holy Karbala, Karbala, Iraq. | ||
| 2College of Engineering Al-musayab, Department of Energy Engineering, University of Babylon, Babil, Iraq | ||
| 3Information Technology College, Department of Software, University of Babylon, Iraq. | ||
| چکیده | ||
| 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 $R\Gamma$-submodule if for each $t\in \partial, \gamma \in \Gamma$ and $f \in \partial^{\ast}=Hom_{R_{\Gamma}}(\partial,R),f(t)\gamma t \in T$ implies that either $t \in T$ or $f(t)\in [T: _{R_{\Gamma}} \ \partial]$. The purpose of this paper is to introduce interesting theorems and properties of Z- prime $R\Gamma$-submodule of $R\Gamma$-module and the relation of Z-prime $R\Gamma$-submodule, which represents of generalization Z-prime R-submodule of R-module. | ||
| کلیدواژهها | ||
| $Gamma$-ring؛ $RGamma$-module؛ $RGamma$-submodule؛ and prime $RGamma$-submodule | ||
| مراجع | ||
|
| ||
|
آمار تعداد مشاهده مقاله: 17,007 تعداد دریافت فایل اصل مقاله: 9,924 |
||
| تعداد نشریات | 22 |
| تعداد شمارهها | 722 |
| تعداد مقالات | 10,383 |
| تعداد مشاهده مقاله | 72,838,579 |
| تعداد دریافت فایل اصل مقاله | 64,535,123 |