Geodesic
Median filters of pseudo-complemented distributive lattices
Discussiones Mathematicae. General Algebra and Applications, Tome 44 (2024) no. 1, pp. 147-161

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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.
Keywords: coherent filter, strongly coherent filter, median filter, minimal prime filter, maximal filter, Stone lattice 
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Sambasiva Rao, M. Median filters of pseudo-complemented distributive lattices. Discussiones Mathematicae. General Algebra and Applications, Tome 44 (2024) no. 1, pp. 147-161. http://geodesic.mathdoc.fr/item/DMGAA_2024_44_1_a9/