We present congruences on a regular semigroup with Q-inverse transversal S o by the congruence pair (abstractly), which consists of congruences on the structural component parts R and Λ. It is proved that the set of all congruences for this kind of semigroups is a complete lattice.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, No. 6, pp. 853–859, June, 2016.
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Wang, A., Wang, L. Congruences on Regular Semigroups with Q-Inverse Transversals. Ukr Math J 68, 972–980 (2016). https://doi.org/10.1007/s11253-016-1270-x
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DOI: https://doi.org/10.1007/s11253-016-1270-x