TY - JOUR T1 - Globals of Completely Regular Monoids AU - Wu , Qianqian AU - Gan , Aiping JO - Communications in Mathematical Research VL - 3 SP - 222 EP - 228 PY - 2021 DA - 2021/05 SN - 31 DO - http://doi.org/10.13447/j.1674-5647.2015.03.04 UR - https://global-sci.org/intro/article_detail/cmr/18924.html KW - completely regular monoid, irreducible element, power semigroup. AB -
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.