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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. Its study was given a great boost by a series of papers and subsequent textbook written by Birkhoff (1967).
See also Lattice
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.
Lattice Theory