3 Results Found

This paper presents a series of important results from the theory of n-hypergroups. Connections with binary relations and with lattices are presented. Special attention is paid to the fundamental relation and to the commutative fundamental relation....

In every hypergroup, the equivalence classes modulo the fundamental relation $\beta$ are the union of hyperproducts of element pairs. Making use of this property, we introduce the notion of height of a $\beta$ -class and we analyze propertie...

The HX-groups represent a generalization of the group notion. The Chinese mathematicians Mi Honghai and Li Honxing analyzed this theory. Starting with a group $(G,·)$, they constructed another group $(\mathcal{G},\ast )\subset {\mathcal{P}}^{\ast }\left(G\right)$, where ${\mathcal{P}}^{\ast }$...