Geodesic
Projectability and weak homogeneity of pseudo effect algebras
Czechoslovak Mathematical Journal, Tome 59 (2009) no. 1, pp. 183-196 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 06D35, 06F20
Keywords: pseudo effect algebra; unital partially ordered group; internal direct factor; polar; projectability; strong projectability; weak homogeneity 
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     author = {Jakub{\'\i}k, J\'an},
     title = {Projectability and weak homogeneity of pseudo effect algebras},
     journal = {Czechoslovak Mathematical Journal},
     pages = {183--196},
     year = {2009},
     volume = {59},
     number = {1},
     mrnumber = {2486624},
     zbl = {1224.06020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2009_59_1_a12/}
}
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Jakubík, Ján. Projectability and weak homogeneity of pseudo effect algebras. Czechoslovak Mathematical Journal, Tome 59 (2009) no. 1, pp. 183-196. http://geodesic.mathdoc.fr/item/CMJ_2009_59_1_a12/