Cover-preserving embeddings of distributive lattices (Q1966141)
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scientific article; zbMATH DE number 1407094
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cover-preserving embeddings of distributive lattices |
scientific article; zbMATH DE number 1407094 |
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Cover-preserving embeddings of distributive lattices (English)
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27 February 2000
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A finite lattice \(L\) has the Cover-Preserving Embedding Property (CPEP) with respect to a variety \(V\) of modular lattices if for every \(K\in V\) of finite length the existence of an embedding of \(L\) into \(K\) implies the existence of a cover-preserving embedding of \(L\) into \(K\). In a previous paper by the author, finite modular lattices having CPEP and finite projective geometries having CPEP were characterized. Here CPEP is investigated for finite distributive lattices.
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distributive lattice
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cover-preserving embedding
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