On $\sigma$-solvable hypergroups and related Hall's Theorem

TL;DR

This paper develops the theory of $\sigma$-solvable hypergroups, explores their properties, and extends Hall's Theorem to this new algebraic context, broadening understanding of hypergroup structures.

Contribution

It introduces the concept of $\sigma$-solvability in hypergroups and generalizes Hall's Theorem to this setting, providing new theoretical insights.

Findings

Established the theory of $\sigma$-solvable hypergroups

Proved properties of $\sigma$-solvable hypergroups

Extended Hall's Theorem to $\sigma$-solvable hypergroups

Abstract

In this paper, we establish the theory of $\sigma$-solvable hypergroups, study some properties of $\sigma$-solvable hypergroups and give similar results of Hall's Theorem in $\sigma$-solvable hypergroups.