File:Pow3nonlattice.svg
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Summary
| Description |
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, a∧c, a∧f, b∧c, b∧e, and c∧d does not exist, and symmetrically, d∨i, e∨h, f∨g, g∨h, g∨i, and h∨i does not exist. |
| Date | |
| Source | Own work, based on File:Hasse diagram of powerset of 3.svg |
| Author | Jochen Burghardt |
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 23:00, 1 November 2014 | | 429 × 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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