On $\alpha $-semi-Short Modules | ||
| Journal of Algebraic Systems | ||
| مقاله 2، دوره 6، شماره 2، فروردین 2019، صفحه 91-99 اصل مقاله (314.86 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2018.5493.1279 | ||
| نویسنده | ||
| Maryam Davoudian* | ||
| Department of Mathematics, Shahid Chamran University of Ahvaz, P.O. Box: 6135713895, Ahvaz, Iran. | ||
| چکیده | ||
| We introduce and study the concept of $\alpha $-semi short modules. Using this concept we extend some of the basic results of $\alpha $-short modules to $\alpha $-semi short modules. We observe that if $M$ is an $\alpha $-semi short module then the dual perfect dimension of $M$ is $\alpha $ or $\alpha +1$. %In particular, if a semiprime ring $R$ is $\alpha $-semi short as an $R$-module, then its Noetherian dimension either is $\alpha$ or $\alpha +1$. | ||
| کلیدواژهها | ||
| α-short modules؛ α-almost Noetherian modules؛ α-semi short modules؛ α-semi Noetherian modules؛ dual perfect dimension | ||
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آمار تعداد مشاهده مقاله: 554 تعداد دریافت فایل اصل مقاله: 548 |
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