Complete congruence lattices of join-infinite distributive lattices (Q1272094)
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scientific article; zbMATH DE number 1226195
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complete congruence lattices of join-infinite distributive lattices |
scientific article; zbMATH DE number 1226195 |
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Complete congruence lattices of join-infinite distributive lattices (English)
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23 November 1998
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The Representation Theorem: ``Every complete lattice \(L\) can be represented as the lattice of complete congruence relations of a complete distributive lattice \(K\)'' was proved by the authors in J. Algebra 171, No. 1, 204-229 (1995; Zbl 0822.06008). Now the same representation problem is considered for complete distributive lattices satisfying the Join-Infinite Distributive Identity or the Meet-Infinite Distributive Identity.
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representation
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congruence lattice
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complete distributive lattice
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