Connections between Hv-S-act, GHS-act and S-act

Abstract

The largest class of hyperstructures is the one which satisfies the weak properties and they are called Hv-structures. In this paper, the concept of Hv-S-act is introduced and some of their properties are investigated. The present paper establishes a possible connection between S-act, GHS-act and Hv-S-act. It is shown that the quotient of GHS-act with any equivalence relation is Hv-S-act. The main tool to study all hyperstructures is the fundamental relations. The study of fundamental relations in Hv-S-act reveals some interesting results. Specifically, these relations connect weak hyperactions with the corresponding classical actions.