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Reports on Mathematical Logic

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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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