Geodesic
Decomposition of group-valued measures on orthoalgebras
Fundamenta Mathematicae, Tome 158 (1998) no. 2, pp. 109-124
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We present a general decomposition theorem for a positive inner regular finitely additive measure on an orthoalgebra $L$ with values in an ordered topological group $G$, not necessarily commutative. In the case where L is a Boolean algebra, we establish the uniqueness of such a decomposition. With mild extra hypotheses on $G$, we extend this Boolean decomposition, preserving the uniqueness, to the case where the measure is order bounded instead of being positive. This last result generalizes A. D. Aleksandrov's classical decomposition theorem. 
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     title = {Decomposition of group-valued measures on orthoalgebras},
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Paolo De Lucia; Pedro Morales. Decomposition of group-valued measures on orthoalgebras. Fundamenta Mathematicae, Tome 158 (1998) no. 2, pp. 109-124. doi: 10.4064/fm-158-2-109-124

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