Primer on inverse semigroups I

TL;DR

This paper provides an introductory overview of inverse semigroup theory, summarizing fundamental concepts and structures for researchers and students interested in algebraic semigroups.

Contribution

It offers a comprehensive and accessible summary of inverse semigroup basics, serving as a foundational reference for further research and study.

Findings

Clarifies key definitions and properties of inverse semigroups

Summarizes important theorems and structures in the field

Provides a useful resource for newcomers to inverse semigroup theory

Abstract

This is an overview of the basics of inverse semigroup theory written for the Workshop on Semigroups and Categories held at the University of Ottawa in 2010.