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Decompositions of measures on orthoalgebras and difference posets. (English) Zbl 0815.03038

The authors present a general decomposition theorem for finitely additive measures on difference posets with values in Dedekind complete lattice ordered groups. In particular, they obtain generalizations of Yosida- Hewitt and Lebesgue decompositions.
Reviewer: M.Navara (Linz)

MSC:

03G12 Quantum logic
81P10 Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects)
28A33 Spaces of measures, convergence of measures
06A99 Ordered sets
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