Geodesic
Distributive Pairs in Biatomic Lattices
Acta mathematica Universitatis Comenianae, Tome 73 (2004) no. 1 
B. N. Waphare; V. V. Joshi. Distributive Pairs in  Biatomic Lattices. Acta mathematica Universitatis Comenianae, Tome 73 (2004) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2004_73_1_a5/
@article{AMUC_2004_73_1_a5,
     author = {B. N. Waphare and V. V. Joshi},
     title = {Distributive {Pairs} in  {Biatomic} {Lattices}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2004},
     volume = {73},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2004_73_1_a5/}
}
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Voir la notice de l'article provenant de la source Comenius University

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.