Weakly semi-primary submodules | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 18، دوره 13، شماره 2، مهر 2022، صفحه 185-190 اصل مقاله (348.95 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6235 | ||
| نویسندگان | ||
| Mamoon F. Khalf* 1؛ Obaida Amer Radhi2 | ||
| 1Department of Physics, College of Education, University of Samarra, Iraq | ||
| 2Department of Education Al-Dur, General Directorate of Education for Salah Al-Din, Ministry of Education, Iraq | ||
| چکیده | ||
| Let $R$ be a commutative ring with identity, and let $W$ be a unitary $R$-module. In this paper, we introduced the concept of a weakly semi-primary submodule as a generalization of the primary submodule, where a submodule $X$ of $W$ is called weakly semi-primary if the \(\mathrm{Rad}(X:W) = \sqrt{(X:W)}\) is a weakly prime ideal of $R$, and from this work, we have provided some characteristics of weakly semi-primary submodule. | ||
| کلیدواژهها | ||
| Weakly semi-primary؛ weakly prime؛ multiplication module؛ Weakly semi-primary ring؛ local ring and finitely generated | ||
| مراجع | ||
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