August 2008
Beginner to intermediate
568 pages
12h 1m
English
Content preview from Discrete Mathematics and Combinatorics
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Chapter 10
Posets, Lattices and Boolean Algebras
Learning Objectives
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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