Infinitely Distributive Elements in Posets
Mathematica Moravica, Tome 7 (2003) no. 1.

Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Infinitely distributive and codistributive elements in posets are studied. It is proved that an element a in a poset P has these properties if and only if the image of a has the corresponding properties in the Dedekind MacNeille completion of P. An application of the order theoretical results to a poset of weak congruences is presented.
Mots-clés : infinite distributive, elements, infinite codistributive elements, congruence, $\omega$-stable, complete congruence 
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Vera Lazarević; Andreja Tepavčević. Infinitely Distributive Elements in Posets. Mathematica Moravica, Tome 7 (2003) no. 1. https://geodesic-test.mathdoc.fr/item/MM3_2003_7_1_a4/