COMPACTIFICETION OF COMPLETELY O-SIMPLE SEMIGROUP

Let G be a compact topological group and S=M(G,I,J). In this paper, we construct semigroup compactification of S by compactification of Ω, where Ω is a partial extension of S. As a consequence, we show that Sap ~ Ωaf /Ĝ.

Keywords:

Completely O-simple semigroup , Compactification , Topological semigroup , Almost periodic function