%0 Journal Article
%T Boolean filters of distributive lattices
%A M. Sambasiva Rao
%A K.P. Shum
%J International Journal of Mathematics and Soft Computing
%D 2013
%I SweDha Publication
%X In this paper we introduce the notion of Boolean filters in a pseudo-complemented distributive lattice and characterize the class of all Boolean filters. Further a set of equivalent conditions are derived for a proper filter to become a prime Boolean filter. Also a set of equivalent conditions is derived for a pseudo-complemented distributive lattice to become a Boolean algebra. Finally, a Boolean filter is characterized in terms of congruences.
%K Pseudo-complemented distributive lattice
%K Boolean algebra
%K Boolean filter
%K maximal filter
%K congruence.
%U http://ijmsc.com/index.php/ijmsc/article/view/IJMSC067/3-3-6