Pages: 1-11
Date of Publication: 01-Nov-2017
RELATIVELY DUALLY NORMAL ADL
Author: S. Ravi Kumar1. , G.C.Rao2
Category: Engineering, Science and Mathematics
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Abstract:
From the definition of an ADL it can be observed that an ADL 
satisfies 
…..(*) but does not satisfy the dual of (*), namely 
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 
in terms of relative dual annihilators.
Keywords: AlmostDistributive Lattice(ADL); Relative dual annihilators; RelativelyDually Normal ADL
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