29 citations · 43 across the 29 of their papers we have counts for
4 papers · 1 filter
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…
Acylindrical Hyperbolicity and Pure Conjugating Automorphisms in Graph Products of Groups
Gianluca Paolini, Jean-Luc Rabideau
We study graph products of groups over defining graphs of arbitrary cardinality from two closely related viewpoints. First, we characterize acylindrical hyperbolicity. If the defin…
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…
Realizing Non-Archimedean Polish Groups as Outer Automorphism Groups
Gianluca Paolini, Jean-Luc Rabideau
We prove that every non-Archimedean Polish group is topologically isomorphic to the outer automorphism group of a countable discrete group. Furthermore, our construction is Borel.…