File:Pow3nonlattice.svg

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English: Partially ordered set which is not a lattice, since e.g. the set of common lower bounds of a and b is { 0, d, g, h, i }, and this set has no greatest element, since both d and i are maximal. Similarly, ac, af, bc, be, and cd does not exist, and symmetrically, di, eh, fg, gh, gi, and hi does not exist.
Date
Source Own work, based on File:Hasse diagram of powerset of 3.svg
Author Jochen Burghardt

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1 November 2014

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Date/TimeThumbnailDimensionsUserComment
current23:00, 1 November 2014Thumbnail for version as of 23:00, 1 November 2014429 × 415 (6 KB)Jochen Burghardt{{Information |Description={{en|1=Partially ordered set which is not a lattice.}} |Source={{own}}, based on File:Hasse diagram of powerset of 3.svg |Date=2014-11-01 |Author=Jochen Burghardt |Permission= |other_versions= }}

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