Title of article :
w-filters of distributive lattices
Author/Authors :
Sambasiva Rao, Mukkamala Department of Mathematics - MVGR College of Engineering, Vizianagaram, India , Venkata Rao, Chukka Department of Mathematics - Albert Einstein School of Physical Sciences - Assam University, Silchar, India
Abstract :
The notion of -filters is introduced in distributive lattices and their properties are studied. A set of equivalent conditions is derived for every maximal filter of a distributive lattice to become an -filter which leads to a characterization of quasi-complemented lattices. Some sufficient conditions are derived for proper -filters of a distributive lattice to become an -filter. Finally, -filters of a distributive lattice are characterized with the help of minimal prime -filters.
Keywords :
Prime D-filter , Minimal prime D-filter , Maximal filter D-filter , Quasi-complemented lattice , Boolean algebra
Journal title :
Journal of Algebraic Structures and Their Applications
