JACOBSON MONOFORM MODULES | ||
| Journal of Algebraic Systems | ||
| دوره 12، شماره 2، فروردین 2025، صفحه 379-390 اصل مقاله (137.83 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2023.12495.1668 | ||
| نویسنده | ||
| Abderrahim El Moussaouy* | ||
| Department of Mathematics, Faculty of Sciences, University of Mohammed First, Oujda, Morocco | ||
| چکیده | ||
| In this paper, we introduce and study the concept of Jacobson monoform modules which is a proper generalization of that of monoform modules. We present a characterization of semisimple rings in terms of Jacobson monoform modules by proving that a ring $R$ is semisimple if and only if every $R$-module is Jacobson monoform. Moreover, we demonstrate that over a ring $R$, the properties monoform, Jacobson monoform, compressible, uniform and weakly co-Hopfian are all equivalent. | ||
| کلیدواژهها | ||
| Monoform modules؛ Small monoform modules؛ Jacobson monoform modules | ||
| مراجع | ||
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