Some results on diagonal-free two-dimensional cylindric algebras (Q2888150)
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scientific article; zbMATH DE number 6039647
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some results on diagonal-free two-dimensional cylindric algebras |
scientific article; zbMATH DE number 6039647 |
Statements
30 May 2012
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cylindric algebras
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diagonal-free
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lattice of subvarieties
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fine spectrum
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completely distributive lattice
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Some results on diagonal-free two-dimensional cylindric algebras (English)
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A fine spectrum \(f(n)\) of a given variety \(K\) is the number of the isomorphism types of the algebras of fixed power \(n\) in \(K\). The paper presents a formula for the fine spectrum of the 2-dimensional diagonal-free cylindric algebras, \(\mathit{Df2}\). The main theorem is a representation theorem for the lattice of the subvarieties of \(\mathit{Df2}\); furthermore, it states that this lattice is completely distributive.
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