%0 Journal Article
%T REGULAR FILTERS OF DISTRIBUTIVE LATTICES
%J Journal of Algebraic Systems
%I Shahrood University of Technology
%Z 2345-5128
%A Mukkamala, Sambasiva Rao
%A Ananthapatnayakuni, Phaneendra Kumar
%D 2023
%\ 01/01/2023
%V 12
%N 2
%P 283-299
%! REGULAR FILTERS OF DISTRIBUTIVE LATTICES
%K Minimal prime D-filter
%K π-filter
%K dense element
%K relatively complemented lattice
%K Hausdorff space
%R 10.22044/jas.2023.12585.1674
%X The concepts of regular filters and π--filters are introduced in distributive lattices. A set of equivalent conditions is given for a D-filter to become a regular filter. For every D-filter, it is proved that there exists a homomorphism whose dense kernel is a regular filter. π--filters are characterized in terms of regular filters and congruences. Some equivalent conditions are given for the space of all prime π-filters to become a Hausdorff space.
%U https://jas.shahroodut.ac.ir/article_2959_4a3f2fdf97b97fc8e6744c9d16df391f.pdf