A HYPEROPERATION DEFINED ON A GROUPOID EQUIPPED WITH A MAP

Thomas Vougiouklis

Abstract


The Hv-structures are hyperstructures where the equality is replaced by the non-empty intersection. The fact that this class of the hyperstructures is very large, one can use it in order to define several objects that they are not possible to be defined in the classical hypergroup theory. In the present paper we introduce a kind of hyperoperations which are defined on a set equipped with an operation or a hyperoperation and a map on itself.

Keywords


hyperstructures, Hv-structures. 1. Introduction

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References


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