From ordered semigroups to ordered hypersemigroups

Abstract

In an attempt to show the way we pass from ordered semigroups to ordered hypersemigroups, we examine somewell known results of regular and intraregular ordered semigroups in case of ordered hypersemigroups. The correspondingresults on hypersemigroups (without order) can also be obtained as application of the results of the present paper. Thesets we use in our investigation shows the pointless character of the results.