New Aspects in the Theory of Complete Hypergroups

Abstract

The aim of this paper is to review the most important properties and applications of the complete hypergroups. We will focus on the reversibility, regularity and reducibility properties, on the class equation and the commutativity degree of the complete hypergroups, as well as on the Euler’s totient function defined in this kind of hypergroups.

Keywords

• complete hypergroup
• reversibility
• regularity
• reducibility
• class equation
• commutativity degree