Freely generated filters in free Boolean algebras

Studia Logica 54 (2):139 - 147 (1995)
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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DOI 10.1007/BF01063149
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Universal Algebra.George Grätzer - 1982 - Studia Logica 41 (4):430-431.
Boolean Algebras.Roman Sikorski - 1966 - Journal of Symbolic Logic 31 (2):251-253.

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