A GRAPH WHICH RECOGNIZES IDEMPOTENTS OF A COMMUTATIVE RING | ||
| Journal of Algebraic Systems | ||
| مقاله 3، دوره 7، شماره 2، فروردین 2020، صفحه 143-154 اصل مقاله (174.11 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2019.7405.1365 | ||
| نویسندگان | ||
| H. Dorbidi1؛ S. Alikhani* 2 | ||
| 1Department of Mathematics, Faculty of Science, University of Jiroft, P.O. Box 78671-61167, Jiroft, Iran. | ||
| 2Department of Mathematics, Yazd University, 89195-741, Yazd, Iran. | ||
| چکیده | ||
| In this paper we introduce and study a graph on the set of ideals of a commutative ring $R$. The vertices of this graph are non-trivial ideals of $R$ and two distinct ideals $I$ and $J$ are adjacent if and only $IJ=I\cap J$. We obtain some properties of this graph and study its relation to the structure of $R$. | ||
| کلیدواژهها | ||
| Graph؛ Diameter؛ Ring؛ Idempotent | ||
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آمار تعداد مشاهده مقاله: 1,011 تعداد دریافت فایل اصل مقاله: 932 |
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