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Math Help - Hasse diagram ?

  1. #1
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    Hasse diagram ?

    Hi folks, I just wanted to "check my answers" -
    here is a poset ({2,4,6,9,12,18,27,36,48,60,72},|)
    that's "|" is divide (divisibility)

    What's the answer for

    1) upper bound of {2,9}
    my answer) 18,36,72
    2)least upper bound of {2,9}
    my answer) 18

    3)lower bounds of {60,72}
    my answer) 6,2
    4)greatest lower bound of {60,72}
    my answer) 6


    I wish Soroban knew some discrete math. He seems to be a nice guy!
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  2. #2
    MHF Contributor kalagota's Avatar
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    i'll give it a try..
    Quote Originally Posted by robocop_911 View Post
    Hi folks, I just wanted to "check my answers" -
    here is a poset ({2,4,6,9,12,18,27,36,48,60,72},|)
    that's "|" is divide (divisibility)

    What's the answer for

    1) upper bound of {2,9}
    my answer) 18,36,72
    2)least upper bound of {2,9}
    my answer) 18
    yes!

    Quote Originally Posted by robocop_911 View Post
    3)lower bounds of {60,72}
    my answer) 6,2
    4)greatest lower bound of {60,72}
    my answer) 6
    how about including 12?

    Quote Originally Posted by robocop_911 View Post
    I wish Soroban knew some discrete math. He seems to be a nice guy!
    i believe Soroban knows it also..
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  3. #3
    Moo
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    Hello,

    For question 3), there are 2, 6, 12 and 4
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