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Tiling Lattices with Sublattices, I

✍ Scribed by David Feldman; James Propp; Sinai Robins

Publisher
Springer
Year
2010
Tongue
English
Weight
220 KB
Volume
46
Category
Article
ISSN
0179-5376

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Let L be a bounded lattice, let [a, b] and [c, d] be intervals of L, and let Ο• : [a, b] β†’ [c, d] be an isomorphism between these two intervals. Let us consider the algebra L ← β†’ Ο• = L; ∧, ∨, Ο•, Ο• -1 , which is a lattice with two partial unary operations. We construct a bounded lattice K (in fact, a