From semigroups to $\Gamma$-semigroups and to hypersemigroups

TL;DR

This paper illustrates the progression from classical semigroups to $b3$-semigroups and hypersemigroups, highlighting the conceptual and structural extensions within algebraic frameworks.

Contribution

It provides a clear example of how algebraic structures evolve from semigroups to more generalized forms like $b3$-semigroups and hypersemigroups.

Findings

Demonstrates the transition process between algebraic structures

Highlights the conceptual generalizations involved

Provides illustrative examples of each structure

Abstract

This paper serves as an example to show the way we pass from semigroups to $\Gamma$-semigroups and to hypersemigroups.