Congruence networks for a class of E-unitary regular semigroups
XU Wen-feng · Journal of Shaoguan University · 2010
Four operators K, k, T and t are defined on the congruence lattice C(S)on a E-unitary regular semigroup S as follow. For ρ∈S, ρK and ρk (ρT and ρt) are the greatest and the smallest congruences with the same kernel (tracec) as ρ, respectively. We determine the network of congruences associated with a congruence ρ∈C(S)and the lattice generated by it.