There exists a complete atomless Boolean algebra that has no proper atomless complete subalgebra.
Special subalgebras of Boolean algebras
β Scribed by J. Donald Monk
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 141 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
β¦ Synopsis
We consider eight special kinds of subalgebras of Boolean algebras. In Section 1 we describe the relationships between these subalgebra notions. In succeeding sections we consider how the subalgebra notions behave with respect to the most common cardinal functions on Boolean algebras.
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