Lattice Distribution Box

Distributive lattice

OverviewDefinitionMorphismsExamplesCharacteristic propertiesRepresentation theoryFree distributive latticesSee also

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.

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distributive lattice in nLab

This also means that a distributive lattice is precisely a lattice (or indeed a poset) which is a distributive category

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Lattice (order)

It consists of a partially ordered set in which every pair of elements has a unique supremum (also called a

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A discrete distribution of a random variable such that every possible value can be represented in the form a+bn, where

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