Lattice Theory

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Readings

Schedule

Date Topic Reading
May 20 Posets Chapter 1: nice proof of Dilworth's theorem - also look at the exercises. Useful discussion of representation of posets here.
May 24 Lattices: definition, semilattices, complete lattices, closure systems Chapter 2 (I'd like to understand the point of closure systems better)
May 27 Distributive and modular lattices Chapter 8; Chapter 9. And a question to ponder. Try not to get too distracted by the discussion of varieties and prime ideals in Chapter 8, since for finite lattices, this is all quite unnecessary.
Jun 1 Distributive and modular lattices continued http://www.math.hawaii.edu/~jb/math618/os9uh.pdf Chapter 9]
Jun 3
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