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Lattices and Ordered Structures

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Multiple Choice

What is a lattice?

  1. A partially ordered set in which every pair of elements has a unique least upper bound and a unique greatest lower bound.
  2. A set of elements with a binary operation that satisfies certain properties.
  3. A collection of sets that are partially ordered by inclusion.
  4. A structure consisting of a set of elements and a binary relation that satisfies certain properties.