The algebraic hyperstructure of elementary particles in physical theory

摘要

Algebraic hyperstructures represent a natural extension of classicalalgebraic structures. In a classical algebraic structure, the composition oftwo elements is an element, while in an algebraic hyperstructure, thecomposition of two elements is a set. Algebraic hyperstructure theory has amultiplicity of applications to other disciplines. The main purpose of thispaper is to provide examples of hyperstructures associated with elementaryparticles in physical theory.