The Congruence 𝒴* on Completely Regular Semigroups
Cailian Guo, Guoxin Liu, Yuqi Guo · Communications in Algebra · 2011
In this article, we investigate a problem that was proposed by Petrich and Reilly in [2 Petrich , M. , Reilly , N. ( 1999 ). Completely Regular Semigroups . New York : John Wiley & Sons . [Google Scholar]]: What can be said about 𝒴*? We get that 𝒴* ∈ [ε, ν] on completely regular semigroups. Furthermore, we give a description of 𝒴* on completely simple semigroups and normal cryptogroups, respectively.