Abstract
This paper enlarges the list of properties of the congruence sequences starting from the universal relation and successively performing the operations of lower T and lower K. Two classes of inverse semigroups, namely Eω-Clifford semigroups and Eω-E-reflexive semigroups, are studied. ((ωT)K)T and (((ωT)K)T)K are found to be the least Eω-Clifford and Eω-E-reflexive congruences on S, respectively. Characterizations of the congruences ((ωT)K)T and (((ωT)K)T)K are developed. The lattices of all Eω-Clifford and Eω-E-reflexive congruences are also studied.
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