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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