# Fundamentals of semigroup theory

@inproceedings{Howie1995FundamentalsOS, title={Fundamentals of semigroup theory}, author={John M. Howie}, year={1995} }

1. Introductory ideas 2. Green's equivalences regular semigroups 3. 0-simple semigroups 4. Completely regular semigroups 5. Inverse semigroups 6. Other classes of regular semigroups 7. Free semigroups 8. Semigroup amalgams References List of symbols

## 2,128 Citations

### Some results in constructive semigroup theory

- Mathematics
- 2021

We give a constructive treatment of some basic concepts and results in semigroup theory. Focusing on semigroups equipped with an apartness relation, we give analogues, from the point of view of…

### The structure of generalized inverse semigroups

- MathematicsSemigroup Forum
- 2013

We prove that the structure of right generalized inverse semigroups is determined by free étale actions of inverse semigroups. This leads to a tensor product interpretation of Yamada’s classical…

### The structure of generalized inverse semigroups

- Mathematics
- 2012

We prove that the structure of right generalized inverse semigroups is determined by free étale actions of inverse semigroups. This leads to a tensor product interpretation of Yamada’s classical…

### On an equivalence between regular ordered Γ-semigroups and regular ordered semigroups

- Mathematics
- 2020

Abstract In this paper, we develop a technique which enables us to obtain several results from the theory of Γ-semigroups as logical implications of their semigroup theoretical analogues.

### EMBEDDING IN A FINITE 2-GENERATOR SEMIGROUP

- MathematicsGlasgow Mathematical Journal
- 2016

Abstract We augment the body of existing results on embedding finite semigroups of a certain type into 2-generator finite semigroups of the same type. The approach adopted applies to finite…

### The * congruence on left inverse semigroups

- MathematicsProceedings of 2011 International Conference on Computer Science and Network Technology
- 2011

The structure theorem of left inverse semigroups has been investigated by Yamada. In this paper, the concept of * congruence on left inverse semigroup S is introduced and the * congruence on S are…

### Structure theory of regular semigroups

- MathematicsSemigroup Forum
- 2019

This survey aims to give an overview of several substantial developments of the last 50 years in the structure theory of regular semigroups and to shed light on their impact on other parts of…

### Structure theory of regular semigroups

- MathematicsSemigroup Forum
- 2019

This survey aims to give an overview of several substantial developments of the last 50 years in the structure theory of regular semigroups and to shed light on their impact on other parts of…

### A new approach to semigroup theory I: soft union semigroups, ideals and bi-ideals

- Mathematics
- 2016

In this paper, soft union semigroups, soft union left (right, two-sided) ideals and bi-ideals of semigroups are defined, their properties and interrelations are given and regular, intra-regular,…

### ON IDEALS IN REGULAR TERNARY SEMIGROUPS

- Mathematics
- 2008

In this paper we study some interesting properties of regular ternary semigroups, completely regular ternary semigroups, intra-regular ternary semigroups and characterize them by using various ideals…