Reports on Mathematical Logic

No. 35

Joanna Grygiel

Boolean constructions of independent sets of generators for filters

A b s t r a c t. Let $F$ be a filter in a Boolean algebra. We consider the problem if it possible to construct an independent set of generators for $F$ from any its set of generators. It turns out that the answer to this question depends on the minimal cardinality of the set of generators of $F$.

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