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On the Lebesgue decomposition of a function relative to a \(p\)-ideal of an orthomodular lattice. (English) Zbl 0759.06009
Summary: We establish a decomposition theorem in which a finitely additive group- valued function defined on an orthomodular lattice is decomposed with respect to a \(p\)-ideal.

06C15 Complemented lattices, orthocomplemented lattices and posets
81P10 Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects)
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