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Modular Lattice

A modular lattice is a lattice which satisfies the identity

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

This order-theoretic notion is unrelated to a modular Euclidean lattice, which is a point lattice isometric to a rescaling of its dual lattice.

See also

Distributive Lattice, Modular Euclidean 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

Modular Lattice

Cite this as:

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

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