Partially additive states on orthomodular posets

Josef Tkadlec · Colloquium Mathematicum · 1991

We fix a Boolean subalgebra B of an orthomodular poset P and study the mappings s:P → [0,1] which respect the ordering and the orthocomplementation in P and which are additive on B. We call such functions B-states on P. We first show that every P possesse

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