Congruences on pseudocomplemented semilattices (Q2717946)
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scientific article; zbMATH DE number 1606096
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Congruences on pseudocomplemented semilattices |
scientific article; zbMATH DE number 1606096 |
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Congruences on pseudocomplemented semilattices (English)
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30 January 2002
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pseudocomplemented semilattices
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congruence lattices
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0.9706396
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0.96433884
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0.93103135
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0.9183105
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In the paper pseudocomplemented semilattices \(S\), i.e. algebras \((S;\wedge,^*,0)\), where \((S;\wedge,0)\) is a meet semilattices with 0 and \(a\wedge x=0\) iff \(x\leq a^*\), and their congruence lattices \(\text{Con} (S)\) are studied. Especially, the cases for which \(\text{Con} (S)\) belongs to \(B_n\), \(n\geq 2\), are investigated. Note that \(B_n\), \(-1\leq n\leq\omega\), is a complete list of varieties of distributive pseudocomplemented lattices (K. B. Lee, 1970).
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