K-FILTERS OF DISTRIBUTIVE LATTICES

Document Type : Original Manuscript

Author

Department of Mathematics, MVGR College of Engineering, Vizianagaram, Andhra Pradesh, India-535005.

Abstract

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.

Keywords


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