On Strongly $H_{v}$-groups
Publish place: Journal of Mahani Mathematical Research، Vol: 8، Issue: 1
Publish Year: 1398
نوع سند: مقاله ژورنالی
زبان: English
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JR_KJMMRC-8-1_002
تاریخ نمایه سازی: 2 دی 1398
Abstract:
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.
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Authors
Morteza Jafarpour
department of Math Vali-e-Asr University of Rafsanjan
Fatemeh Arabpur
Vali-e-Asr university of Rafsanjan