Isometrical embeddings of lattices into geometric lattices (Q382894)
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scientific article; zbMATH DE number 6232034
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Isometrical embeddings of lattices into geometric lattices |
scientific article; zbMATH DE number 6232034 |
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Isometrical embeddings of lattices into geometric lattices (English)
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22 November 2013
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Embedding lattices into geometric lattices gained substantial interest since the fundamental result of Dilworth on finite lattices. The nice paper under review elaborates on Dilworth's approach and shows that an algebraic lattices endowed with a pseudorank function and having all compact elements of finite height does admit an isometric embedding into some geometric lattice. This also gives a new proof for the result of Grätzer and Kiss in the case of finite lattices.
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semimodular lattice
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geometric lattic
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isometrical embedding
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cover-preserving embedding
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0.91255254
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0.9104233
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0.89847904
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0.8939273
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