Niovi Kehayopulu
Michael Tsingelis

The embedding of an ordered semigroup into an le-semigroup

(Lobachevskii Journal of Mathematics, Volume XIII)

In this paper we prove the following: If S is an ordered semigroup, then the set P (S) of all subsets of S with the multiplication "º" on P(S) defined by "Aº B: = (AB] if A, B∈ P(S), A≠ ∅, B≠ ∅ and Aº B: =∅ if A = ∅ or B=∅ is an le-semigroup having a zero element and S is embedded in P(S).
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