A HYPEROPERATION DEFINED ON A GROUPOID EQUIPPED WITH A MAP

Authors

  • Thomas Vougiouklis Democritus University of Thrace, School of Education 681 00 Alexandroupolis, Greece

Keywords:

hyperstructures, Hv-structures. 1. Introduction

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.

References

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Published

2005-06-18

Issue

Vol. 15 (2005)

Section

Volume 15-2005

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