# Decompositions of measures on pseudo effect algebras

@article{Dvurecenskij2011DecompositionsOM, title={Decompositions of measures on pseudo effect algebras}, author={Anatolij Dvurecenskij}, journal={Soft Computing}, year={2011}, volume={15}, pages={1825-1833} }

Recently, in Dvurečenskij (http://arxiv.org/submit/103087, 2011), it was shown that if a pseudo effect algebra satisfies a kind of the Riesz decomposition property (RDP), then its state space is either empty or a nonempty simplex. This will allow us to prove a Yosida–Hewitt type and a Lebesgue type decomposition for measures on pseudo effect algebra with RDP. The simplex structure of the state space will entail not only the existence of such a decomposition but also its uniqueness.

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