On coaxial filters of almost distributive lattices
Noorbhasha Rafi, Mukkamala Sambasiva Rao · Discussiones Mathematicae - General Algebra and Applications · 2025
In an Almost Distributive Lattice (ADL), coaxial filters and strongly coaxial filters are presented, and various characterization theorems of dually normal ADLs are given in terms of dual annihilators.Several characteristics of ADL coaxial filters are investigated.The concept of normal prime filters is presented, and its features are examined.For the class of all strongly coaxial filters to become a sublattice of the filter lattice, some equivalent conditions are derived.