CONGRUENCES ON ABUNDANT SEMIGROUPS WITH QUASI-IDEAL S-ADEQUATE TRANSVERSALS
Lili Wang, Aifa Wang · Communications of the Korean Mathematical Society · 2014
In this paper, we give congruences on an abundant semigroup with a quasi-ideal S-adequate transversal $S^{\circ}$ by the congruence pair abstractly which consists of congruences on the structure component parts R and ${\Lambda}$ . We prove that the set of all congruences on this kind of semigroups is a complete lattice.