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On the Representation of Boolean Algebras

Name: On the Representation of Boolean Algebras
Creator: Günter Bruns
Keywords: lattices, ordered sets

On the representation of Boolean algebras

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1962Publisher:Canadian Mathematical SocietyJournal:Canadian Mathematical Bulletin, volume 5, pages 37-41 (issn: 0008-4395, eissn: 1496-4287,

Authors: Günter Bruns;

doi: 10.4153/cmb-1962-006-6

On the Representation of Boolean Algebras

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Abstract

Let B be a Boolean algebra and let ℳ and n be two systems of subsets of B, both containing all finite subsets of B. Let us assume further that the join ∨M of every set M∊ℳ and the meet ∧N of every set N∊n exist. Several authors have treated the question under which conditions there exists an isomorphism φ between B and a field δ of sets, satisfying the conditions:

Keywords

lattices, ordered sets

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