On the Least (Ordered) Semilattice Congruence in Ordered $\Gamma$-Semigroups
Manoj Siripitukdet, Aiyared Iampan · Thai Journal of Mathematics · 2012
In this paper, we firstly characterize the relationship between the(ordered) filters, (ordered) s -prime ideals and (ordered) semilattice congruences in ordered $\Gamma$-semigroups. Finally, we give some characterizations of semilattice congruences and ordered semilattice congruences on ordered $\Gamma$-semigroups and prove that 1. n is the least semilattice congruence, 2. N is the least ordered semilattice congruence, 3. N is not the least semilattice congruence in general.