On strong-inverse elements

Document Type : Original Article


Emeritus Professor of Mathematics, Democritus University of Thrace, Greece


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 classic