On completely regular and strongly regular ordered $\Gamma$-semigroups

Abstract

Our aim is to show the way we pass from the results of ordered semigroups (or semigroups) to ordered $\Gamma$-semigroups (or $\Gamma$-semigroups). The results of this note have been transferred from ordered semigroups. The concept of strongly regular $po$-$\Gamma$-semigroups has been first introduced here and a characterization of strongly regular $po$-$\Gamma$-semigroups is given.