Globals of Completely Regular Monoids

Authors

  • Qianqian Wu
  • Aiping Gan

DOI:

https://doi.org/10.13447/j.1674-5647.2015.03.04

Keywords:

completely regular monoid, irreducible element, power semigroup.

Abstract

An element of a semigroup $S$ is called irreducible if it cannot be expressed as a product of two elements in $S$ both distinct from itself. In this paper we show that the class $C$ of all completely regular monoids with irreducible identity elements satisfies the strong isomorphism property and so it is globally determined.

Downloads

Published

2021-05-14

Abstract View

  • 33926

Pdf View

  • 2612

Issue

Vol. 31 No. 3 (2015)

Section

Articles

How to Cite

Globals of Completely Regular Monoids. (2021). Communications in Mathematical Research, 31(3), 222-228. https://doi.org/10.13447/j.1674-5647.2015.03.04