Geodesic
An extension theorem for modular measures on effect algebras
Czechoslovak Mathematical Journal, Tome 59 (2009) no. 3, pp. 707-719

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We prove an extension theorem for modular measures on lattice ordered effect algebras. This is used to obtain a representation of these measures by the classical ones. With the aid of this theorem we transfer control theorems, Vitali-Hahn-Saks, Nikodým theorems and range theorems to this setting.
Classification : 06C15, 28E99
Keywords: effect algebras; modular measures; extension; Vitali-Hahn-Saks theorem; Nikodým theorem; decomposition theorem; control theorems; range; Liapunoff theorem 
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     author = {Barbieri, Giuseppina},
     title = {An extension theorem for modular measures on effect algebras},
     journal = {Czechoslovak Mathematical Journal},
     pages = {707--719},
     publisher = {mathdoc},
     volume = {59},
     number = {3},
     year = {2009},
     mrnumber = {2545651},
     zbl = {1224.28037},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2009__59_3_a11/}
}
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Barbieri, Giuseppina. An extension theorem for modular measures on effect algebras. Czechoslovak Mathematical Journal, Tome 59 (2009) no. 3, pp. 707-719. http://geodesic.mathdoc.fr/item/CMJ_2009__59_3_a11/