Birkhoff Centre of an Almost Distributive Lattice
U. Maddana Swamy, S. Ramesh · 2009
In this paper, the concept of the Birkhoff centre B(L) of an Almost Distributive Lattice L with maximal elements is introduced 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. Mathematics Subject Classification: 06D99