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Math Help - Partial Order - maximum minimum and maximal

  1. #1
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    Partial Order - maximum minimum and maximal

    Let
    R be a partial order relation on a set A.
    Prove that if
    x belonging toA is a maximum then it is maximal.
    Prove that if x belonging to A is a minimum and a maximum then A={x}.



    someone can help me???
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  2. #2
    MHF Contributor

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    Those look like they should be easy if you know the definitions.

    What is the difference betweeen a "partially ordered set" and a "linearly ordered set"? What is the difference between "maximal" and "maximum". And, most importantly, what do "maximum" and "minimum" mean?
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