Author

Gianluca Paolini

h-index 10 View on Semantic Scholar

We have 3 of 57 papers

We haven’t gathered this author’s papers yet. Follow them and we’ll fetch their work.

Not the right person? Other researchers publish under this name.

Preprint Aug 2026

The lattice of abstract elementary classes of modules

Let $R$ be a ring. We organize the abstract elementary classes whose underlying class is the class of all $R$-modules and whose strong submodel relation lies between the submodule and direct summand relations into a lattice $\mathscr{L}_{R}$, ordered by reverse inclusion. We establish the basic lattice-theoretic proper...

Tapani Hyttinen, Marcos Mazari-Armida, Gianluca Paolini · 0 citations

Preprint Sep 2026

Kaplansky decompositions of Polish modules

Let $R$ be a countable ring. Given an $R$-module $A$, we call a decomposition $A = \bigoplus_{i \in I} N_i$ a Kaplansky decomposition if each $N_i$ is countable. We characterize the uncountable Polish $R$-modules that admit a Kaplansky decomposition: they are exactly the modules of the form $B \oplus M^{\omega}$, where...

I. Herzog, Gianluca Paolini, S. Shelah · 0 citations

Preprint Sep 2026

Acylindrical Hyperbolicity and Pure Conjugating Automorphisms in Graph Products of Groups

We study graph products of groups over defining graphs of arbitrary cardinality from two closely related viewpoints. First, we characterize acylindrical hyperbolicity. If the defining graph is irreducible, has at least two vertices, and has a finite star base, then every parabolically full subgroup is either virtually...

Gianluca Paolini, Jean-Luc Rabideau · 0 citations