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On Kalmbach measurability. (English) Zbl 0815.28004
Summary: In this note we show that, for an arbitrary orthomodular lattice \(L\), when \(\mu\) is a faithful, finite-valued outer measure on \(L\), then the Kalmbach measurable elements of \(L\) form a Boolean subalgebra of the center of \(L\).

MSC:
28A60 Measures on Boolean rings, measure algebras
06C15 Complemented lattices, orthocomplemented lattices and posets
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References:
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