Introduces K-filters and examines their properties in distributive lattices, suggesting important correlations.
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.
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Mukkamala Sambasiva Rao (2025) studied this question.
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