Lattices with large minimal extensions (Q5950758)

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scientific article; zbMATH DE number 1682608
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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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