On order polynomially complete lattices (Q1802250)
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scientific article; zbMATH DE number 203147
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On order polynomially complete lattices |
scientific article; zbMATH DE number 203147 |
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On order polynomially complete lattices (English)
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29 March 1994
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It is proven that every order polynomially complete lattice is bounded. Hence, a polynomially complete lattice cannot be countably infinite. This partially solves one of the most famous problems in the theory of polynomially complete lattices. However, the problem remains open for the uncountable case.
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infinite lattice
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order polynomially complete lattice
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