Lattice theory is the study of sets of objects known as lattices. It is an outgrowth of the study of Boolean algebras, and provides a framework for unifying the study of classes or ordered sets in mathematics. The study of lattice theory was given a great boost by a series of papers and subsequent textbook written by Birkhoff (1967).

# Lattice Theory

## See also

Boolean Algebra, Lattice## Explore with Wolfram|Alpha

## References

Birkhoff, G.*Lattice Theory, 3rd ed.*Providence, RI: Amer. Math. Soc., 1967.Grätzer, G.

*Lattice Theory: First Concepts and Distributive Lattices.*San Francisco, CA: W. H. Freeman, 1971.Grätzer, G.

*General Lattice Theory, 2nd ed.*Boston, MA: Birkhäuser, 1998.Priestly, H. A. and Davey, B. A.

*Introduction to Lattices and Order.*Cambridge, England: Cambridge University Press, 1990.Weisstein, E. W. "Books about Lattice Theory." http://www.ericweisstein.com/encyclopedias/books/LatticeTheory.html.

## Referenced on Wolfram|Alpha

Lattice Theory## Cite this as:

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