In 1991, Molodstov [9] introduced the concept of soft set theory to deal with uncertainty. Modern topology depends strongly on the ideas of soft set theory. This prompted us to introduce and study soft g*s closed set, soft g*s open set in soft topological spaces also some related properties concerning these sets are obtained.

In this paper authors have proved some results on Glivenko congruence R with respect to Semi prime ideal J in a nearlattice S. They showed that the quotient nearlattice R S is distributive if and only if J is semiprime. Moreover, they have included a prime separation theorem for semiprime ideals. At the end some results on ⊥ A and 0 A for a 0-distributive nearlattice are given. Finally they have included a characterization of distributive nearlattices with the help of Separation theorems by using semiprime ideals.

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