Complements and quasicomplements in the lattice of subalgebras of \(P(\omega)\) (Q1058537)
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scientific article; zbMATH DE number 3900829
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complements and quasicomplements in the lattice of subalgebras of \(P(\omega)\) |
scientific article; zbMATH DE number 3900829 |
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Complements and quasicomplements in the lattice of subalgebras of \(P(\omega)\) (English)
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1985
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The authors study the structure of the lattice of subalgebras of the Boolean algebra P(\(\omega)\). In particular, they investigate which subalgebras have complements and quasicomplements. The main result is a necessary and sufficient condition for a countable subalgebra to have a complement.
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lattice of subalgebras
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Boolean algebra
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complements
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quasicomplements
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countable subalgebra
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