K-FILTERS OF DISTRIBUTIVE LATTICES
Mukkamala Sambasiva Rao · DOAJ (DOAJ: Directory of Open Access Journals) · 2025
The concept of K-filters is introduced in distributive lattices and studied some properties of these classes of filters. Some necessary and sufficient conditions are derived for every π-filter of a distributive lattice to become a K-filter. Some equivalent conditions are derived for every D-filter of a distributive lattice to become a K-filter. Quasi-complemented lattices are characterized with the help of K-filters.