A note on representation of lattices by tolerances (Q1188138)
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scientific article; zbMATH DE number 40115
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on representation of lattices by tolerances |
scientific article; zbMATH DE number 40115 |
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A note on representation of lattices by tolerances (English)
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13 August 1992
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A tolerance on an algebra \(A\) is a reflexive and symmetric subalgebra of the Cartesian square of \(A\). Theorem: Let \(L\) be an algebraic lattice. Then there is an algebra \(A\) such that \(L\) is isomorphic to the lattice of all tolerances on \(A\); moreover, every subalgebra of \(A^ 2\) is a tolerance.
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lattice of tolerances
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algebraic lattice
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