On completing this chapter, you should be able to:

state the algebraic definition of a Boolean algebra

solve problems using the algebraic properties of the elements of a Boolean algebra

define a poset and find the maximum and minimum elements of subsets of posets when they exist

find the supremum and infimum of subsets of posets when they exist

define a lattice and identify lattices among posets

define and verify distributive property for lattices

define a sublattice

state the definitions of a bounded lattice and a complete lattice

identify bounded and complete lattices

prove or disprove the existence of a compliment of an element in simple lattices

state the lattice/order ...

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