On strong-inverse elements

Document Type: Original Article

Authors

Emeritus Professor of Mathematics, Democritus University of Thrace, Greece

Abstract

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.

Keywords