ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. LXXIII, 1 (2004)
p. 69 73

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.

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