Lattices with large minimal extensions (Q5950758)
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scientific article; zbMATH DE number 1682608
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lattices with large minimal extensions |
scientific article; zbMATH DE number 1682608 |
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Lattices with large minimal extensions (English)
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16 December 2001
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By a big lattice is meant a finite lattice which is a maximal sublattice in an infinite lattice. The authors provide an algorithm for determining whether a given lattice is big. Using this algorithm, they produce a complete list of all 145 minimal big lattices. In other words, a finite lattice has an infinite minimal extension if and only if it contains one of these 145 as a sublattice.
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big lattice
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finite lattice
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small lattice
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algorithm
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