From ordered semigroups to ordered hypersemigroups

Authors: NIOVI KEHAYOPULU

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

Keywords: Ordered hypersemigroup, right (left) ideal, bi-ideal, quasi-ideal, regular, intraregular

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