The Power Semigroup Of Some Clifford-semigroups

In this thesis, we will make use of the knowledge of semigroups and universal algebras toinvestigate the global deterministic of the classes Cn, G0, and G1of semigroups. This thesis willbe made up of three chapters.The frst chapter will be introduction.In the second chapter, we will investigate the global deterministic of the class Cnof semi-groups. First, we will make a deep characterization of Cliford-semigroups, and get the followingconclusions: If S and S′are both Cliford-semigroups, and ψ is an isomorphism from P(S) ontoP(S′), then ψ(S) is a closed semigroup of S′. Next, we will prove that the class C2and C3ofsemigroups satisfy the strong isomorphism property. At last, we will use mathematical inductionto prove that the class Cnof semigroups satisfes the strong isomorphism property.In the last chapter, we will investigate the power semigroup of the class G0and G1of semi-group. As two special classes of C2, in this chapter we will use another method which is diferentto one used in chapter2to prove that the classes G0and G1of semigroups satisfy the strongisomorphism property.