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.
Jafarpour, M., & Arabpur, F. (2019). On Strongly $H_{v}$-groups. Journal of Mahani Mathematical Research, 8(1), 13-21. doi: 10.22103/jmmrc.2019.13746.1086
Jafarpour, M., Arabpur, F. (2019). 'On Strongly $H_{v}$-groups', Journal of Mahani Mathematical Research, 8(1), pp. 13-21. doi: 10.22103/jmmrc.2019.13746.1086
VANCOUVER
Jafarpour, M., Arabpur, F. On Strongly $H_{v}$-groups. Journal of Mahani Mathematical Research, 2019; 8(1): 13-21. doi: 10.22103/jmmrc.2019.13746.1086
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