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Lattice Theory


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).


See also

Boolean Algebra, Lattice

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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.

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Lattice Theory

Cite this as:

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

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