An Open Problem on Congruence Pairs of Completely Regular Semigroups
Jian Feng · Journal of Southwest University · 2009
S is K-unitary if every normal subset of S is unitary.This paper explores an open problem of congruence pairs:characterizing completely regular semigroups S for which (K,τ)∈CP(S) for all K∈K(S),τ∈TN(S).A conclusion is drawn that for any K∈K(S),τ∈TN(S),(K,τ)∈CP(S) if and only if S is a K-unitary cryptogroup.