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Lattices

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Part of the Graduate Texts in Mathematics book series (GTM,volume 242)

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.

Keywords

  • Prime Ideal
  • Distributive Lattice
  • Complete Lattice
  • Great Element
  • Maximal Chain

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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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