Abstract:

          We present the concept of B*- pure ordered semigroups and investigate its properties and some equivalent conditions. We eventually derive the relationship between the semilattice of tsimple ordered semigroups and that of the B*-pure ordered semigroups. We therefore generalize the property of B*- pure semigroups and draw a conclusion that a semigroup is the semilattice of ordered groups on the condition that a semigroup is normal and regular.

Key words: B*-pure ordered semigroups;normal, regularity