N-prime spectrum of stone Almost Distributive Lattices
Ravikumar Bandaru, Noorbhasha Rafi, M. Srujana · Discussiones Mathematicae - General Algebra and Applications · 2021
Introduced the notions of annulets and N -filters in stone Almost Distributive Lattices and investigated their properties. Utilized annulets to characterize the N -filters. Derived that every proper N -filter is the intersection of all N -prime filters containing it and also proved that the set F N (L) of all N -filters is isomorphic to the class Con E (L) of all G-extentions of L. Given some topological properties of the space of all N -prime filters. Derived a necessary and sufficient condition for the space of all N -prime filters to be a Hausdorff space.