On Strongly $H_{v}$-groups

‎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.

Keywords:

‎$H_{v}$-structures‎ , ‎$H_{v}$-groups‎ , ‎strongly $H_{v}$-groups‎ , ‎$theta$-hyperoperation