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The Lebesgue decomposition of measures on finite orthomodular posets. (English) Zbl 0681.28003
Measure theory, Proc. 1st Winter Sch., Liptovský Ján/Czech. 1988, 146-151 (1988).
[For the entire collection see Zbl 0663.00005.]
Let L be a finite orthomodular poset, A(L) the set of probability measures on L. Then the Lebesgue decomposition property (LDP) and the symmetrical decomposition property coincide for every non-empty section of A(L). Some characterizations of finite orthomodular posets having the LDP are given in the second part of the paper.
Reviewer: R.Potocký

28A12 Contents, measures, outer measures, capacities
06A06 Partial orders, general
Zbl 0663.00005