Permutative k-exponential epigroups

Abstract

We prove that any permutative k-exponential epigroup is a normal band of unipotent epigroups. Moreover, we describe the least regular congruence on such semigroups. Finally, we give an example of a permutative epigroup which is not a band of unipotent epigroups.

Keywords:

• Permutative epigroup
• k-exponential epigroup
• least regular congruence

2010 MATHEMATICS SUBJECT CLASSIFICATION:

• 20M10

Acknowledgements

I would like to thank the anonymous reviewer for his helpful comments which have allowed me to improve the quality of the paper.