Hv-module of functions over Hv-ring of arithmetics and it’s fundamental module

Abstract

After introducing the definition of hypergroups by Marty, the study of hyperstructures and its connections with other fields has been of great importance. In this paper, we continue the investigation between hyperstructure theory and number theory. More precisely, we define an Hv-module of complex valued functions over the Hv-ring of arithmetics, classify its complete parts, the strongly regular relations on it and identify its fundamental module.

Keywords

• hv-module
• complete part
• fundamental relation
• fundamental ring
• fundamental module
• primary 16y99
• secondary 20n20