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Distributive Lattice

A lattice which satisfies the identities

(x ^ y) v (x ^ z)=x ^ (y v z)
(x v y) ^ (x v z)=x v (y ^ z)

is said to be distributive.

See also

Lattice, Modular Lattice

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References

Grätzer, G. Lattice Theory: First Concepts and Distributive Lattices. San Francisco, CA: W. H. Freeman, pp. 35-36, 1971.

Referenced on Wolfram|Alpha

Distributive Lattice

Cite this as:

Weisstein, Eric W. "Distributive Lattice." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DistributiveLattice.html

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