Distributive ordered sets are characterized by so called generalized annihilators.
@article{107492, author = {Radom\'\i r Hala\v s}, title = {Characterization of distributive sets by generalized annihilators}, journal = {Archivum Mathematicum}, volume = {030}, year = {1994}, pages = {25-27}, zbl = {0805.06001}, mrnumber = {1282110}, language = {en}, url = {http://dml.mathdoc.fr/item/107492} }
Halaš, Radomír. Characterization of distributive sets by generalized annihilators. Archivum Mathematicum, Tome 030 (1994) pp. 25-27. http://gdmltest.u-ga.fr/item/107492/
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