A Lattice of Inclusion Classes consisting of Unions of Varieties of Generalised Inflations of Rectangular Bands

TL;DR

This paper characterizes a lattice structure of inclusion classes in semigroup theory, focusing on unions of varieties formed by generalized inflations of rectangular bands, providing a comprehensive classification.

Contribution

It introduces a detailed lattice of inclusion classes for semigroups based on unions of varieties of generalized inflations of rectangular bands, a novel structural insight.

Findings

Established the lattice of inclusion classes for these semigroups

Identified the relationships among different varieties within the lattice

Provided a framework for understanding unions of generalized inflations

Abstract

We determine a lattice of inclusion classes of semigroups consisting of unions of varieties of generalised inflations of rectangular bands.