Inheritance examples of algebraic hyperstructures

Authors:
B. Davvaz;A. Dehghan Nezhad;M. M. Heidari
Affiliations:
Department of Mathematics, Yazd University, Yazd, Iran;Department of Mathematics, Yazd University, Yazd, Iran;Department of Biology, Yazd University, Yazd, Iran
Venue:
Information Sciences: an International Journal
Year:
2013

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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 many applications in other disciplines. The main purpose of this paper is to provide examples of hyperstructures associated with inheritance.