Good congruences on weakly U-abundant semigroups

Abstract

In this paper, we study the congruences on w-U-a semigroups with s-transversals. The g-congruences on a w-U-a semi-group with an s-transversal TV are described abstractly by the e-triple, which consists of equivalences on the structure component parts I, T and Λ. Also, it is shown that the set of all g-congruences on this kind of semigroups forms a complete lattice.

Keywords

• weakly u-abundant semigroup
• ehresmann transversal
• congruence
• equivalence triple
• 20m10