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Aug 30, 2012 at 1:02 history edited Tom Leinster CC BY-SA 3.0
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Aug 30, 2012 at 1:01 comment added Tom Leinster Oh, oops. I just forgot that Boolean algebras had to be distributive. Thanks! I don't know what the noncrossing partition lattice of rank 3 looks like - could you describe it in an answer?
Aug 30, 2012 at 0:51 comment added Patricia Hersh Tom, how does this imply $M$ is a Boolean algebra? It seems like e.g. the noncrossing partition lattice of rank 3 also meets the conditions you've proven. Thanks for your help.
Aug 30, 2012 at 0:28 history answered Tom Leinster CC BY-SA 3.0