Representable posets and their order components
classification
🧮 math.LO
keywords
representablecomponentsorderorderedboundedconversedisprovingdistributive
read the original abstract
A partially ordered set P is representable if there is a bounded distributive lattice such that its ordered set of prime ideals is order-isomorphic to P. We show that if the order components of a poset P are representable, then so is P. Moreover, we provide an example disproving the converse.
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