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Freely generated filters in free Boolean algebras

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Abstract

In this paper we will prove that ifF is a filter of a free Boolean algebra such that the minimal cardinality of the set of generators ofF is an uncountable regular cardinal or a singular cardinal with uncountable cofinality thenF is freely generated.

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Grygiel, J. Freely generated filters in free Boolean algebras. Stud Logica 54, 139–147 (1995). https://doi.org/10.1007/BF01063149

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  • DOI: https://doi.org/10.1007/BF01063149

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