#Finding Maximum And Minimum Elements In Hasse Diagram

13 messages · Page 1 of 1 (latest)

reef pecan
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In this hasse diagram of poset {1,2,3,4,5} :
Maximal Elements : 1, 2;
Minimal Elements: 4, 6;
Maximum Element: None;
Minimum Element: None;
Am I right ?

image.png
royal fableBOT
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woven canyon
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you are correct

reef pecan
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Thanks, claude AI and ChatGPT confused me so wanted to make sure

woven canyon
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do have some confusions about definitions?

reef pecan
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Nope, maximum element must be connected to all other elements

woven canyon
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largest element must be comparable to every element

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as well as smallest

reef pecan
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Yes

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Yes

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Thanks

reef pecan
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+close