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Math Help - Prove that every ideal of a Boolean algebra B is principal iff B is finite.

  1. #1
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    Prove that every ideal of a Boolean algebra B is principal iff B is finite.

    Prove that every ideal of a Boolean algebra B is principal iff B is finite.

    I cannot seem to prove either direction, here. I have photographed and uploaded the chapter text, which can be downloaded in pdf format here. The exercise in question is #10 from section 5.

    Any help would be much appreciated!
    Last edited by hatsoff; January 30th 2010 at 08:23 AM.
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by hatsoff View Post
    Prove that every ideal of a Boolean algebra B is principal iff B is finite.

    I cannot seem to prove either direction, here. I have photographed and uploaded the chapter text, which can be downloaded in pdf format here. The exercise in question is #10 from section 5.

    Any help would be much appreciated!
    Your URL appears to be broken. Are you using Stoll?
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  3. #3
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Drexel28 View Post
    Your URL appears to be broken. Are you using Stoll?
    the link worked fine for me. the OP is using Stoll's Set Theory and Logic
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