Niovi KEHAYOPULU

On ordered Γ-hypersemigroups and their relation to lattice ordered semigroups

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

The concept of Γ-hypersemigroup has been introduced in Turk J Math 2020; 44 (5): 1835-1851 in which it has in which it has been shown that various results on Γ-hypersemigroups can be obtained directly as corollaries of more general results from the theory of le-semigroups (i.e. lattice ordered semigroups having a greatest element) or poe-semigroups. As a continuation of the paper mentioned above, in the present paper, the concept of ordered Γhypersemigroups has been introduced, and their relation to lattice ordered semigroups is given. It has been shown that although the results on ordered Γ-hypersemigroups cannot be obtained as corollaries to the corresponding results of le or poe-semigroups, still the main idea comes from the le-semigroups or poe-semigroups, and the proofs go along the lines of the le or poe-semigroups.

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[5] Kehayopulu N. Lattice ordered semigroups and Γ-hypersemigroups. Turkish Journal of Mathematics 2020; 44 (5): 1835-1851. doi: 10.3906/mat-1909-83
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