Lattices abound throughout many branches of Mathematics. This seems to have first been noticed by Dedekind [1897]. 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 [1940]. Lattice theory unifies various parts of algebra, though perhaps less successfully than the theories in the next two chapters.
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(2007). Lattices. In: Abstract Algebra. Graduate Texts in Mathematics, vol 242. Springer, New York, NY. https://doi.org/10.1007/978-0-387-71568-1_14
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DOI: https://doi.org/10.1007/978-0-387-71568-1_14
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