Complements and quasicomplements in the lattice of subalgebras of \(P(\omega)\)
type: Item
instance of: scholarly article
title: Complements and quasicomplements in the lattice of subalgebras of \(P(\omega)\)
zbMATH Open document ID: 0565.06012
DOI: 10.1016/0012-365X(85)90130-X
author: Ivo Düntsch
author: Sabine Koppelberg
published in: Discrete Mathematics
publication date: 1985-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 06E05
zbMATH DE Number: 3900829
zbMATH Keywords: lattice of subalgebras
zbMATH Keywords: Boolean algebra
zbMATH Keywords: complements
zbMATH Keywords: quasicomplements
zbMATH Keywords: countable subalgebra
MaRDI profile type: Publication
cites work: A note on countable Boolean algebras
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cites work: Q3960895
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cites work: Martin's Axiom
description: scientific article; zbMATH DE number 3900829