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Keywords:
pseudo effect algebra; unital partially ordered group; internal direct factor; polar; projectability; strong projectability; weak homogeneity
pseudo effect algebra; unital partially ordered group; internal direct factor; polar; projectability; strong projectability; weak homogeneity
Summary:
In this paper we deal with a pseudo effect algebra $\Cal A$ possessing a certain interpolation property. According to a result of Dvurečenskij and Vettterlein, $\Cal A$ can be represented as an interval of a unital partially ordered group $G$. We prove that $\Cal A$ is projectable (strongly projectable) if and only if $G$ is projectable (strongly projectable). An analogous result concerning weak homogeneity of $\Cal A$ and of $G$ is shown to be valid.
References:
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