Three-generated quasiorder lattices (Q2785644)
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scientific article; zbMATH DE number 981788
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Three-generated quasiorder lattices |
scientific article; zbMATH DE number 981788 |
Statements
30 June 1997
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quasiorder lattices
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involution lattice
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generating set
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inaccessible cardinal
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0.89694583
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0.89631927
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0.89386344
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0.8751284
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0.87236905
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Three-generated quasiorder lattices (English)
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It was proven by I. Chajda and G. Czedli that the lattice \(\text{Quord}(A)\) of all quasiorders on a set \(A\) is generated by three generators (which are partial orders) whenever \(A\) is finite or its cardinality is equal to some aleph. The present author extends this result to all infinite sets \(A\) whose cardinality is not greater than some inaccessible cardinal.
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