Topological Characterization of Hemicomplemented Almost Distributive Lattices
Noorbhasha Rafi, Ravikumar Bandaru, Ravi Kumar Davala, Aiyared Iampan · European Journal of Pure and Applied Mathematics · 2025
The notion of $\LomD$-stone ADLs is introduced, and their core properties are explored. It is shown that every $\LomD$-stone ADL is hemicomplemented but not vice versa. Several equivalent conditions are given for when a hemicomplemented ADL becomes $\LomD$-stone. Topological characterizations are provided via minimal prime $\LomD$-filters and their prime spectra.