on strong-inverse elements

Hyperstructures have applications in mathematics and in other sciences. for this, the largest class of the hyperstructures, the hv-structures, is used. they satisfy the weak axioms where the non-empty intersection replaces equality. the fundamental relations connect, by quotients, the hv-structures with the classical ones. since the number of hv-structures defined on the same set is very big, it is important to study special elements. a lot of those special elements are not appeared in the classical theory therefore, one has to discover their properties from the beginning. we continuous our study on hv-structures which have the so called strong inverse elements.