22 citations · 65 across the 14 of their papers we have counts for
19 papers
Ore localization of amenable monoid actions and applications towards entropy addition formulas and the bridge theorem
Dikran Dikranjan, Anna Giordano Bruno, Simone Virili
For a left action of a cancellative right amenable monoid on a discrete Abelian group , we construct its Ore localization $G\overset{λ^*}{\cu…
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…
Tilting preenvelopes and cotilting precovers in general Abelian categories
Carlos E. Parra, Manuel Saorín, Simone Virili
We consider an arbitrary Abelian category and a subcategory closed under extensions and direct summands, and characterize those that are (…
ERRATA CORRIGE: Intrinsic algebraic entropy
Daniele Toller, Simone Virili
The notion of intrinsic algebraic entropy of an endomorphism of a given Abelian group has been recently introduced in [D. Dikranjan, A. Giordano Bruno, L. Salce, S. Virili, Intrins…
Locally finitely presented and coherent hearts
Carlos E. Parra, Manuel Saorín, Simone Virili
Starting with a Grothendieck category and a torsion pair in , we study the local finite presentability and local co…
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…