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Which posets are lattices

  1. Dec 18, 2012 #1
    1. The problem statement, all variables and given/known data
    Could someone help with this problem?

    Determine which of the following posets (S, <=) are lattices.

    1. A = {1, 3, 6, 9, 12} and <= is the divisibility relation.
    2. B = {1, 2, 3, 4, 5} and <= is the divisibility relation.
    3. C = {1, 5, 25, 100} and <= is the divisibility relation.
    4. Both 1 and 3


    2. Relevant equations



    3. The attempt at a solution
    My answer: 3

    Is this right? I think it is but I'm not 100% sure.
     
  2. jcsd
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