Strong amalgamation of distributive lattices (Q583253)
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scientific article; zbMATH DE number 4132222
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strong amalgamation of distributive lattices |
scientific article; zbMATH DE number 4132222 |
Statements
Strong amalgamation of distributive lattices (English)
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1990
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The main result of the paper is as follows: Let A and B be distributive lattices, and let S be a common sublattice of A and B. If there is a lattice L amalgamating A and B over S with the property that every lattice \(L'\) amalgamating A and B over S contains L as a sublattice (i.e. A, B, and S have the Unique Amalgamation Property), then the unique amalgam of A and B over S is distributive.
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Unique Amalgamation Property
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