Lattices abound throughout many branches of Mathematics. This seems to have first been noticed by Dedekind . They are also of interest as algebraic systems. Systematic study began in the 1930s with the work of Birkhoff and Stone, and with Birkhoff’s Lattice Theory . Lattice theory unifies various parts of algebra, though perhaps less successfully than the theories in the next two chapters.
KeywordsPrime Ideal Distributive Lattice Complete Lattice Great Element Maximal Chain
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