On Strongly $H_{v}$-groups


چکیده مقاله:

‎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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عنوان ژورنال

دوره 8  شماره 1

صفحات  13- 21

تاریخ انتشار 2019-01-01

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