Lattice varieties covering \(V(L_ 1)\) (Q580383)
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scientific article; zbMATH DE number 4016969
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lattice varieties covering \(V(L_ 1)\) |
scientific article; zbMATH DE number 4016969 |
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Lattice varieties covering \(V(L_ 1)\) (English)
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1986
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The following problem is open: does every variety generated by a finite lattice have only finitely many covers, each generated by a finite lattice? The author develops methods concerning this problem. Applying his approach he proves: if L is the seven-element non-modular dual- semimodular lattice then the variety V(L) generated by L has only finitely many (twenty-five) covers, each of these varieties is generated by a finite lattice; all these generators are given.
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variety generated by a finite lattice
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covers
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generators
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