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distribute$22284$ - translation to greek
LATTICE IN WHICH THE OPERATIONS OF JOIN AND MEET DISTRIBUTE OVER EACH OTHER
Distribute lattice; Distributive lattice/Proofs; Free distributive lattice
![[[Young's lattice]]](https://commons.wikimedia.org/wiki/Special:FilePath/Young's lattice.svg?width=200 "[[Young's lattice]]")
distribute
v. διανέμω, μοιράζω
Definition
distributive lattice
<theory> A lattice for which the least upper bound (lub)
and greatest lower bound (glb) operators distribute over one
another so that
a lub (b glb c) == (a lub c) glb (a lub b)
and vice versa.
("lub" and "glb" are written in LateX as sqcup and
sqcap).
(1998-11-09)
Wikipedia
Distributive lattice
In mathematics, a distributive lattice is a lattice in which the operations of join and meet distribute over each other. The prototypical examples of such structures are collections of sets for which the lattice operations can be given by set union and intersection. Indeed, these lattices of sets describe the scenery completely: every distributive lattice is—up to isomorphism—given as such a lattice of sets.
