5 papers · 1 filter
Stable finiteness of endomorphism rings
Simone Virili
We combine a combinatorial idea of Benjamin Weiss and some localization theory of Grothendieck categories to give a short and completely self-contained proof of the following recen…
Torsion pairs in categories of modules over a preadditive category
Manuel Saorín, Carlos Parra, Simone Virili
It is a result of Gabriel that hereditary torsion pairs in categories of modules are in bijection with certain filters of ideals of the base ring, called Gabriel filters or Gabriel…
Intrinsic valuation entropy
Luigi Salce, Simone Virili
We extend the notion of intrinsic entropy for endomorphisms of Abelian groups to endomorphisms of modules over an Archimedean non-discrete valuation domain , using the natural n…
Cartesian modules over representations of small categories
Sergio Estrada, Simone Virili
We introduce the new concept of cartesian module over a pseudofunctor from a small category to the category of small preadditive categories. Already the case when is a (str…
The Addition Theorem for algebraic entropies induced by non-discrete length functions
Luigi Salce, Simone Virili
The validity of the Addition Theorem for algebraic entropies $\ent_L$ induced by non-discrete length functions on the category of locally -finite modules over arbitrary ring…