Median filters of pseudocomplemented distributive lattices
Copyright policy )Median filters of pseudocomplemented distributive lattices
Summary: Coherent filters, strongly coherent filters, and \(\tau\)-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.
Pseudocomplemented lattices, Stone lattice, maximal filter, median filter, QA1-939, coherent filter, minimal prime filter, strongly coherent filter, Mathematics
Pseudocomplemented lattices, Stone lattice, maximal filter, median filter, QA1-939, coherent filter, minimal prime filter, strongly coherent filter, Mathematics
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