Finite Commutative Semihypergroups Built From Groups

TL;DR

This paper establishes the necessary and sufficient conditions under which finite commutative semihypergroups can be constructed from abelian groups of identical order, advancing the understanding of their algebraic structure.

Contribution

It provides a complete characterization of finite commutative semihypergroups derived from abelian groups of the same order, a novel result in algebraic hyperstructure theory.

Findings

Characterization of when semihypergroups are built from abelian groups

Conditions for finite commutative semihypergroups to originate from groups

Theoretical framework linking semihypergroups and abelian groups

Abstract

Necessary and sufficient conditions for finite commutative semihypergroups to be built from abelian groups of the same order are established.