K-FILTERS OF DISTRIBUTIVE LATTICES

Document Type : Original Manuscript

Author

MVGR COLLEGE OF ENGINEERING, VIZIANAGARAM, INDIA

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