Congruence lattices of complemented modular lattices (Q795071)
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scientific article; zbMATH DE number 3861223
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Congruence lattices of complemented modular lattices |
scientific article; zbMATH DE number 3861223 |
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Congruence lattices of complemented modular lattices (English)
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1984
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The main result asserts: for every finite distributive lattice D there exists a complemented modular lattice K such that the congruence lattice of K is isomorphic to D and K is a sublattice of the lattice of all subspaces of a countably infinite dimensional vector space over the two element field. There are some remarks on representations of infinite distributive lattices.
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finite distributive lattice
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complemented modular lattice
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congruence lattice
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representations of infinite distributive lattices
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