Topological Characterization of Hemicomplemented Almost Distributive Lattices
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i3.6247Keywords:
Almost Distributive Lattice (ADL), hemicomplemented ADL, $\LomD$-filter, $\LomD$-stone ADL, Hausdorff spaceAbstract
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.
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Copyright (c) 2025 Noorbhasha Rafi, Ravi Kumar Bandaru, Ravi Kumar Davala, Aiyared Iampan
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