Median filters of pseudocomplemented distributive lattices
Mukkamala Sambasiva Rao · Discussiones Mathematicae - General Algebra and Applications · 2024
Coherent filters, strongly coherent filters, and τ -closed filters are introduced in pseudo-complemented distributive lattices and their characterization theorems are derived.A set of equivalent conditions is derived for every filter of a pseudo-complemented distributive lattice to become a coherent filter.The notion of median filters is introduced and some equivalent conditions are derived for every maximal filter of a pseudo-complemented distributive lattice to become a median filter which leads to a characterization of Stone lattices.