Exploring Star Filters of Almost Distributive Lattices
Ali Al Khabyah, Noorbhasha Rafi, Moin A. Ansari · Axioms · 2025
In an almost distributive lattice (ADL), we have presented and explored the notions of star filters and starlets. Further, we have characterized star filters through their starlets. A set of equivalent conditions is established for a filter in an ADL to become a star filter. Additionally, this paper investigates the topological properties of the prime spectrum associated with star filters in an ADL.