intrinsic ideals of distributive lattices

the concepts of intrinsic ideals and inlets are introduced in a distributive lattice. intrinsic ideals are also characterized with the help of inlets. certain equivalent conditions are given for an ideal of a distributive lattice to become intrinsic. some equivalent conditions are derived for the quotient lattice, with respect to a congruence, to become a boolean algebra. some topological properties of the prime spectrum of intrinsic ideals of distributive lattice are derived.