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Difference between a boolean algebra and a complete lattice?

  1. Mar 5, 2009 #1
    What is the difference between a boolean algebra and a complete lattice? What are their similarities?
     
  2. jcsd
  3. Mar 7, 2009 #2
    Re: Lattice-theory

    a boolean algebra is a complemented distributive lattice. a boolean algebra is a complete lattice. A complemented lattice is one with 'zero element 0 and identity element 1'
    while a complete lattice is a lattice in which every chain has a minimum and a maximum elements.
    for example, the powerset of an arbitrary non emptyset V is a boolean algebra with minimum element(zero element 0 ) as empty set and maximum element(identity element 1) as V
     
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