Distributive Pairs in Biatomic Lattices
B. N. Waphare and V. V. Joshi
Abstract.
We prove
that a biatomic lattice $L$ is distributive if and only if every
pair of atoms of $L$ is distributive. This result has been
used to obtain characterizations of distributive pairs in terms of
semi-distributive pairs, del-relation and perspectivity.
AMS Subject classification: 06D10, 06D99;
Secondary: 06C05.
Keywords:
Biatomic lattice, distributive pair, modular pair, del-relation, exchange property.
Download: Adobe PDF Compressed Postscript Version to read: Adobe PDF
Compressed Postscript 
