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Superatomic Boolean
algebras
George Wesley Day |
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Vol. 23 (1967), No. 3, 479–489
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Abstract |
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A Boolean algebra B can be imbedded in a complete Boolean algebra C in such a way that all homomorphisms of B into complete Boolean algebras can be extended to complete homomorphisms on C if and only if B is superatomic, that is, every homomorphic image of B is atomic. This paper is a study of the structure of superatomic Boolean algebras, through the development of techniques of construction and classification, and through the representation of these algebras as compact Hausdorff clairsemé spaces. |
Mathematical Subject Classification
Primary: 06.60
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Milestones
Received: 27 January 1967
Published: 1 December 1967
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Authors |
| George Wesley Day | |
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