distributive lattices with strongendomorphism kernel property as directsums

Unbounded distributive lattices which have strong endomorphismkernel property (sekp) introduced by blyth and silva in [3] werefully characterized in [11] using priestley duality (see theorem 2.8). weshall determine the structure of special elements (which are introduced aftertheorem 2.8 under the name strong elements) and show that these latticescan be considered as a direct product of three lattices, a lattice with exactlyone strong element, a lattice which is a direct sum of 2 element lattices withdistinguished elements 1 and a lattice which is a direct sum of 2 elementlattices with distinguished elements 0, and the sublattice of strong elementsis isomorphic to a product of last two mentioned lattices.