The algebraic hyperstructure of elementary particles in physical theory
arXiv:1008.0772 · doi:10.1007/s12648-012-0151-x
Abstract
Algebraic hyperstructures represent a natural extension of classical algebraic structures. In a classical algebraic structure, the composition of two elements is an element, while in an algebraic hyperstructure, the composition of two elements is a set. Algebraic hyperstructure theory has a multiplicity of applications to other disciplines. The main purpose of this paper is to provide examples of hyperstructures associated with elementary particles in physical theory.
13 pages