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math.LO2026
Kaplansky decompositions of Polish modules
Ivo Herzog, Gianluca Paolini, Saharon Shelah
Let be a countable ring. Given an -module , we call a decomposition a Kaplansky decomposition if each is countable. We characterize th…
math.LO2026
The lattice of abstract elementary classes of modules
Tapani Hyttinen, Marcos Mazari-Armida, Gianluca Paolini
Let be a ring. We organize the abstract elementary classes whose underlying class is the class of all -modules and whose strong submodel relation lies between the submodule…