Abstract:
n this work we discussed the concept of the Birkhoff center of an Almost Distributive Lattice L
with maximal elements introduced by U.M.Swamy and S.Ramesh. In this paper, Birkhoff center
of an Almost Distributive Lattice L with maximal elements is defined and proved that B(L) is a
relatively complemented ADL. Mainly it is proved that the elements of B(L) are in one-to-one
correspondence with the complemented ideals of L and also with the factor-congruences on L
and hence with the direct decompositions of L.