1Reader, Dept. of Mathematics, M.R. College(A), Vizianagaram, India
2Department of Mathematics, Andhra University, Visakhapatnam, India
Online published on 19 April, 2019.
From the definition of an ADL it can be observed that an ADL satisfies (avb)^c=(a^c)v(b^c)…(*) but does not satisfy the dual of (*), namely (avb)^c=(a^c)v(b^c) Thus the lattice theoretic duality principle does not hold in ADLs
In this paper, we introduce the concept of relative dual annihilators in an ADL and study some of their properties. Also, we define a relatively Dually Normal ADL and we characterize a Relatively Dually Normal ADL R in terms of relative dual annihilators.
Almost Distributive Lattice(ADL), Relative dual annihilators, Relatively Dually Normal ADL
