On uniquely complemented posets (Q2490420)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On uniquely complemented posets |
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On uniquely complemented posets (English)
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2 May 2006
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The authors extend some classical results of uniquely complemented lattices to uniquely complemented posets with \(0\) and \(1\). They prove that a uniquely complemented join-semilattice having the general disjointness property is Boolean. They extend the Birkhoff-von Neumann theorem to larger classes of lattices, such as the class of modular lattices with the general disjointness property.
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uniquely complemented posets
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join-semilattice
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general disjointness property
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modular lattice
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