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On Strongly $H_{v}$-groups | ||
| Journal of Mahani Mathematical Research | ||
| مقاله 2، دوره 8، شماره 1، فروردین 2019، صفحه 13-21 اصل مقاله (271.19 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmrc.2019.13746.1086 | ||
| نویسندگان | ||
| Morteza Jafarpour* 1؛ Fatemeh Arabpur2 | ||
| 1department of Math Vali-e-Asr University of Rafsanjan | ||
| 2Vali-e-Asr university of Rafsanjan | ||
| چکیده | ||
| The largest class of hyperstructures is the one which satisfies the weak properties; these are called $H_{v}$-structures. In this paper we introduce a special product of elements in $H_{v}$-group $H$ and define a new class of $H_{v}$-groups called strongly $H_{v}$-groups. Then we show that in strongly $H_{v}$-groups $\beta=\beta^{\ast}$. Also we express $\theta$-hyperoperation and investigate some of its properties in connection with strongly $H_{v}$-groups. | ||
| کلیدواژهها | ||
| $H_{v}$-structures؛ $H_{v}$-groups؛ strongly $H_{v}$-groups؛ $theta$-hyperoperation | ||
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آمار تعداد مشاهده مقاله: 161 تعداد دریافت فایل اصل مقاله: 199 |
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