Representable posets and their order components

Details Representable posets and their order components Representable posets and their order components

2007-05-29

arxiv.org/abs/0705.4259v1

Mathematics

Logic

06D50

Scientific paper

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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