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A note on total graph of commutative Krasner hyperrings | ||
| Journal of Algebra and Related Topics | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 13 بهمن 1403 | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2024.24911.1553 | ||
| نویسندگان | ||
| A. khojali* 1؛ F. Esmaeili Khalil Saraei2؛ E. Navidinia3 | ||
| 1Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil | ||
| 2UFouman Faculty of Engineering, College of Engineering, University of Tehran, P.O. Box 43515-1155, Fouman, Iranniversity of Tehran | ||
| 3Faculty of Sciences, University of Mohaghegh Ardabili, P.O. Box 179, Ardabil, Iran. | ||
| چکیده | ||
| The purpose of this paper is to introduce the notion of total graph of Krasner hyperrings. In this regard, a connection between the graph theory and the theory of hyperrings is constructed and some fundamental properties of the total graph of Krasner hyperrings are investigated. Finally, for a multiplicative-prime subset $H$ of a hyperring $R$, the diameter and the girth of $\Gamma_{\!\!H}(R\setminus H)\,\mbox{and}\, \Gamma_{\!\!H}(H)$ are computed, precisely. | ||
| کلیدواژه‌ها | ||
| Total graph؛ Krasner hyperring؛ Prime hyperideal | ||
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آمار تعداد مشاهده مقاله: 8 |
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