-Prime Spectrum of Stone Almost Distributive Lattices

Introduced the notions of annulets and -filters in stone Almost Distributive Lattices and investigated their properties. Utilized annulets to characterize the -filters. Derived that every proper -filter is the intersection of all -prime filters containing it and also proved that the set ℱ (L) of all -filters is isomorphic to the class ConE(L) of all G-extentions of L. Given some topological properties of the space of all -prime filters. Derived a necessary and sufficient condition for the space of all -prime filters to be a Hausdorff space