Abstract
Let L be a distributive lattice L with 0. For each x epsilon L, the ideals of the form (x]* - {y epsilon L\y (sic) x - 0} are called the annulets of L. Annulets in a distributive lattice with 0 have been studied by several authors including W. H. Cornish [2]. In this paper, we introduce the concept of n-annulets of L when In is a central element of L. We have given several characterizations of lattice of n-annulets A (L). Then we generalize all results of [2] in terms of n-ideals. For a fixed element n of L,a convex sublattice containing n is called an n-ideal. We have shown that for a central element n the lattice of principle n-ideals P-n (L)is generalized Stone if and only if An (L) is as relatively complemented sublattice of the lattice of n-ideals.