A GENERALIZATION OF PRIME HYPERIDEALS IN KRASNER HYPERRINGS | ||
| Journal of Algebraic Systems | ||
| مقاله 8، دوره 7، شماره 2، فروردین 2020، صفحه 205-216 اصل مقاله (166.53 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2019.6407.1318 | ||
| نویسندگان | ||
| L. Kamali Ardekani* 1؛ B. Davvaz2 | ||
| 1Faculty of Engineering, Ardakan University, P.O. Box 184, Ardakan, Iran. | ||
| 2Department of Mathematics, Yazd University, Yazd, Iran. | ||
| چکیده | ||
| In this paper, we extend the notion of 2-absorbing ideal on rings to Krasner hyperrings. In fact, we give a characterization of new generalization of prime hyperideals in Krasner hyperrings by introducing 2-absorbing hyperideals. We present some illustrative examples. Also, we study fundamental properties of 2-absorbing hyperideals on Krasner hyperrings and investigate some related results. | ||
| کلیدواژهها | ||
| Prime hyperideal؛ 2-absorbing hyperideal؛ Krasner hyperring | ||
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آمار تعداد مشاهده مقاله: 822 تعداد دریافت فایل اصل مقاله: 1,168 |
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