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 and Arabpur,F . (2019). On Strongly $H_{v}$-groups. Journal of Mahani Mathematical Research, 8(1), 13-21. doi: 10.22103/jmmrc.2019.13746.1086
MLA
Jafarpour,M , and Arabpur,F . "On Strongly $H_{v}$-groups", Journal of Mahani Mathematical Research, 8, 1, 2019, 13-21. doi: 10.22103/jmmrc.2019.13746.1086
HARVARD
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
CHICAGO
M Jafarpour and F Arabpur, "On Strongly $H_{v}$-groups," Journal of Mahani Mathematical Research, 8 1 (2019): 13-21, doi: 10.22103/jmmrc.2019.13746.1086
VANCOUVER
Jafarpour M, Arabpur F. On Strongly $H_{v}$-groups. J. Mahani Math. Res.. 2019;8(1):13-21. doi: 10.22103/jmmrc.2019.13746.1086
